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성균관대 진동및동적시스템설계실습 BJT실험 Fundamentals of Bipolar Junction Transistor and Switching Experiment

과 목 명 : 진동및동적시스템설계실습과 제 명 :담당교수 :학 과 :학 번 :이 름 :제 출 일 :Fundamentals of Bipolar Junction Transistor and Switching Experiment1. Objective of Experiment- To know about the basic concepts related to the experiment such as semiconductor, diode, transistor and so on.- To know the fundamentals of bipolar junction transistor (BJT) and its characteristics in active region.- To know the collector currentI _{C} by varyingV _{CE} and the common-emitter current gainh _{FE}(beta) in the active region.- To know the application of BJT in the cut-off and saturation region as a LED driver.- To know the BJT base and collector currents,I _{B} andI _{C}, as a switching circuit.2. Theory2.1. Semiconductor; n-type & p-TypeA semiconductor is a solid whose electrical conductivity is in between that of a metal and that of an insulator, and can be controlled over a wide range, either permanently or dynamically. Semiconductors are tremendously important technologically and economically. Silicon is used to create trons in the lattice that can move easily. In contrast, when silicon is doped with boron, holes move only if a neighboring electron jumps to fill the empty bond.2.2. Diode; p-n junctionIn simple terms, a diode is a device that restricts the direction of flow of charge(electron) carriers. Essentially, it allows an electric current to flow in one direction, but blocks it in the opposite direction. Thus, the diode can be thought of as an electronic version of a check valve. Circuits that require current flow in only one direction typically include one or more diodes in the circuit design. Today the most common diodes are made from semiconductor materials such as silicon or germanium. There are a variety of diodes; A few important ones are p-n diodes(or p-n junction), switching diodes, schottky diodes, varicap or varactor diodes and so on. The operation of p-n junction is the subject of this experiment. Usually made of doped silicon or, more rarely, germanium. One of the crucial keys to soon as indicated assists electrons in overcoming the coulomb barrier of the space charge in depletion region. Electrons will flow with very small resistance in the forward direction.2.3. Transistor; BJT(Bipolar Junction Transistor)Fig 2.3.1.pnp andnpn transistorsA transistor is a three-terminal semiconductor device that can perform two functions that are fundamental to the design of electronic circuits: amplification and switching. Put simply, amplification consists of magnifying a signal by transferring energy to it from an external source, whereas a transistor switch is a device for controlling a relatively large current between or voltage across two terminals by means of a small control current or voltage applied at a third terminal. There are two main types of transistors: Field-Effect Transistors and Bipolar Junction Transistors. A BJT is formed by joining three sections of semiconductor material, each with a different doping concentration. The three sections can be either a thin nemitter. The electron current flowing into the collector through the base is substantially larger than that which flows into the base from the external circuit. One can see from Fig 2.3.3 that if KCL is to be satisfied, we must have:I _{E} =I _{B} +I _{C}The most important property of the BJT is that the small base current controls themuch larger collector current.I _{C} = beta I _{B}Herebeta is a current amplification factor dependent on the physical properties of the BJT. Typical values ofbeta range from 20 to 200. Note thatbeta is not a parameter you want to design your circuit around. In other words, you want to make your BJT circuit amplify independent ofbeta.Fig 2.3.4.The number of independent variables required to uniquely define the operation of the transistor may be determined by applying KVL and KCL to the circuit of Fig 2.3.4. Two voltages and two currents are sufficient to specify the operation of the device. Note that since the BJT is a three-terminal device, it will not b_{gamma }2.5. Resistor color codeResistors are identified by a standard color coding system. Therefore, it is necessary to be familiar with this system. The colors are read from left to right.Fig 2.5.1. Electrical resistor color codeColorSignificant Digits(Band 1 and 2)Multiplier(Band 3)Tolerance(Band 4)Black010 ^{0}-Brown110±1%Red210 ^{2}±2%Orange310 ^{3}-Yellow410 ^{4}(±5%)Green510 ^{5}±0.5%Blue610 ^{6}±0.25%Violet710 ^{7}±0.1%Gray810 ^{8}±0.05% (±10%)White910 ^{9}-Gold-10 ^{-1}±5%Silver-10 ^{-2}±10%None--±20%3. Experimental EquipmentResistor 100kΩ 5.1kΩ, 390Ω, NPN BJT: 2N3904, DC power supply, Digital multi-meter, Breadboard, LED, Function generator4. Experimental Procedure4.1 Experiment 1① Make a circuit in the manual for the experiment 1, and adjustV _{CE} to5V.② Keep watchingI _{B}, carefully increase theV _{BB} untilI _{B} becomes10 mu A. If you give high voltage to the BJT, the BJT might be burned.③ MeasureI _{C} by inserting the ampere-meter into the collector loop as in the m439V

공학/기술| 2015.03.08| 17페이지| 1,500원| 조회(363)

BJT, 진동, 성균관대, 진동및동적시스템설계실습, Fundamentals of..

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성균관대 진동및동적시스템설계실습 Op-Amp and Strain Gauge 평가A좋아요

苞格疙 : 柳悼棺悼利矫胶袍汲拌角嚼苞力疙 :淬寸背荐 :切苞 :切锅 :捞抚 :力免老 :Op-Amp and Strain Gauge1. Objective of experiment-To know the function and basic circuits of Op-Amp-To know the gain of Op-Amp-To know the application of strain gauge in Wheatstone‘s Bridge for force measurement-To know the application of Op-Amp for strain gauge measurement-To understand the basic principle of measuring force-To know the basic theory related to experiment such as Wheatstone‘s Bridge and strain2. Experimental EquipmentStrain gauge, cantilever beam, LM741(Op-Amp), bread board, variable resistor, weight, C-clamp, spring balancer3. Theory3.1 Operational Amplifier (Op-amp)As well as resistors and capacitors, Operational Amplifiers, or Op-amps as they are more commonly called, are one of the basic building blocks of Analogue Electronic Circuits. Operational amplifiers are linear devices that have all the properties required for nearly ideal DC amplification and are therefore used extensively in signal conditioning, filteAmplifiers or any operational amplifier for that matter and these areァ)No Current Flows into the Input Terminalsア)The Differential Input Voltage is Zero asV _{1} =V _{2} =0 (Virtual Earth)then by using these two rules we can derive the equation for calculating the closed-loop gain of an inverting amplifier, using first principles.Fig. 3.2.2 Resistor networkCurrent ( i ) flows through the resistor network as shown in Fig. 3.2.2.i= {V _{i`n } -V _{out}} over {R _{i`n } +R _{f}}therefore,i= {V _{i`n} -V _{2}} over {R _{i`n}} = {V _{2} -V _{out}} over {R _{f}}so,{V _{i`n}} over {R _{i`n}} =V _{2} ( {1} over {R _{i`n}} + {1} over {R _{f}} )- {V _{out}} over {R _{f}}and as,i= {V _{i`n} -V _{2}} over {R _{i`n}} = {0-V _{out}} over {R _{f}},{R _{f}} over {R _{i`n}} = {0-V _{out}} over {V _{i`n} -0}the closed Loop GainA _{(V)} is given as,{V _{out}} over {V _{i`n}} `=`- {R _{f}} over {R _{i`n}}and this can be transposed to giveV_out asV _{out} `=`- {R _{f}} over {R _{i`n}} TIMES V _{i`n}the negback resistorR _{f} is zero, the gain of the amplifier will be exactly equal to one (unity). If resistorR _{2} is zero the gain will approach infinity, but in practice it will be limited to the operational amplifiers open-loop differential gain, (A _{0} ). We can easily convert an inverting operational amplifier configuration into a non-inverting amplifier configuration by simply changing the input connections as shown.Fig. 3.3.3 Conversion of amplifier configuration3.4 Differential amplifierFig. 3.4.1 Differential amplifier circuitBasically, as we saw in the previous section about operational amplifiers, all op-amps are “Differential Amplifiers” due to their input configuration. But by connecting one voltage signal onto one input terminal and another voltage signal onto the other input terminal the resultant output voltage will be proportional to the “Difference” between the two input voltage signals ofV _{1} andV _{2}. Then differential amplifiers amplify the difference between two vctively. Among these resistances P and Q are known fixed electrical resistances and these two arms are referred as ratio arms. An accurate and sensitive Galvanometer is connected between the terminals B and D through a switchS _{2}. The voltage source of this Wheatstone bridge is connected to the terminals A and C via a switchS _{1} as shown. A variable resistor S is connected between point C and D. The potential at point D can be varied by adjusting the value of variable resistor. Suppose currentI _{1} and currentI _{2} are flowing through the paths ABC and ADC respectively. If we vary the electrical resistance value of arm CD the value of currentI _{2} will also be varied as the voltage across A and C is fixed. If we continue to adjust the variable resistance one situation may comes when voltage drop across the resistor S that isI _{2}. S is becomes exactly equal to voltage drop across resistor Q that isI _{1}.Q. Thus the potential at point B becomes equal to the potential at point Dain in the device. The most widely used gage is the bonded metallic strain gage. The metallic strain gage consists of a very fine wire or, more commonly, metallic foil arranged in a grid pattern. The grid pattern maximizes the amount of metallic wire or foil subject to strain in the parallel direction. The cross-sectional area of the grid is minimized to reduce the effect of shear strain and Poisson Strain. The grid is bonded to a thin backing, called the carrier, which is attached directly to the test specimen. Therefore, the strain experienced by the test specimen is transferred directly to the strain gage, which responds with a linear change in electrical resistance. Strain gages are available commercially with nominal resistance values from 30 to 3,000з, with 120, 350, and 1,000з being the most common values. It is very important that the strain gage be properly mounted onto the test specimen so that the strain is accurately transferred from the test specimen, through the adhesive -y

공학/기술| 2015.03.08| 17페이지| 1,500원| 조회(359)

opamp, 진동, 성균관대, 진동및동적시스템설계실습, Op-Amp and St..

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성균관대 진동및동적시스템설계실습 Basic tools for electronic measurement, system dynamics and time-frequency domain measurement

과 목 명 : 진동및동적시스템설계실습과 제 명 :담당교수 :학 과 :학 번 :이 름 :제 출 일 :Basic tools for electronic measurement, system dynamics and time-frequency domain measurementExperiment A : Basic tools for electronic measurement1. Objective of Experiment-To know about related theories like electrical resistor and its combination etc to progress this experiment smoothly.-To know about basic tools for electronic measurement and devices used in this experiment such as digital multimeter and function generator and so on and, and also learn usage of the devices.2. Experimental Equipment-Digital multimeterA multimeter or a multi-tester, also known as a VOM (Volt-Ohm meter), is an electronic measuring instrument that combines several measurement functions in one unit. A typical multimeter would include basic features such as the ability to measure voltage, current, and resistance. Modern multi-meters are often digital due to their accuracy, durability and extra features. In a digital multimeter the signal under test isRed210 ^{2}±2%Orange310 ^{3}-Yellow410 ^{4}(±5%)Green510 ^{5}±0.5%Blue610 ^{6}±0.25%Violet710 ^{7}±0.1%Gray810 ^{8}±0.05% (±10%)White910 ^{9}-Gold-10 ^{-1}±5%Silver-10 ^{-2}±10%None--±20%This first two bands translate directly into numbers. The third band is called a Multiplier, this means the number of zeros you add after the first two digits to get the Ohm value. The fourth band is called the Tolerance signifier This indicates how much the actual value might vary from the specified value shown by the color bands. If the resistor measures more than the allowed specified value, it is not useable. The more expensive resistors are higher quality, so the specification is tighter.4. Experimental Procedure4.1 Digital multimeter① Prepare the resistors,R _{1},R _{2},andR _{3} as shown in the Fig. 4.1.1 and connect NI myDAQ and computer by using USB cable.② Run NI ELVISmx Instrument launcher and click the DMM and Ohm button.③ Make electric circuits with the resistors,R _{1},R _{2},andR _{3} reAll resistance values measured by DMM were in the range of error,±5%, and slightly less than theoretical values.Error factors-Resistors have had error since they were produced.-Ni myDAQ hardware have internal resistance.-The legs of the resistors have resistance. When I compared the value with outer side of leg and inner side of leg, there are no difference between them in the Lab VIEW. It is negligible in our experiment, but the legs have resistance even if it is very small.-The DMM banana cables have their own resistance.-The bread board has resistance.-When NI myDAQ transforms analog data into digital one, error would emerge.-The resistance of resistors varies with temperature.7. Reference1. http://hyperphysics.phy-astr.gsu.edu/hbase/electric/resis.html2. http://hibp.ecse.rpi.edu/~connor/education/breadboard.pdf3. https://www.swtc.edu/ag_power/electrical/lecture/resistors.htm4. http://en.wikipedia.org/wiki/Multimeter#Digital_multimeters_.28DMM_or_DVOM.29Experiment B : system dynamicircuit) and hence{d ^{2} q} over {dt ^{2}} = {di} over {dt}. These will both be used shortly. Applying Kirchhoff’s 2nd Law (the sum of the potential drops across all elements in a circuit equals the applied potential)L {di} over {dt} +Ri+ {q} over {C} =E(t)Unfortunately, this differential equations involves two time-dependent output variables i(t) and q(t). However as seen above, they are related, so the equation can be totally written in terms of q (or indeed of i) leading toL {d ^{2} q} over {dt ^{2}} +R {dq} over {dt} + {1} over {C} q=E(t)Note the similarity between the two equationsm {d ^{2} x} over {dt ^{2}} +b {dx} over {dt} +kx=F(t) andL {d ^{2} q} over {dt ^{2}} +R {dq} over {dt} + {1} over {C} q=E(t)These two equations are fundamentally identical and constitute an electrical mechanical analogue. Notice the analogy between corresponding parameters and variables. In the electrical circuit:Electrical 2nd order systemMechanical 2nd order systemLmRb{1} over {C}kqxE(t)F(t)2.4 Impedallows one to clearly visualize huge changes of some quantity. The decibel is defined as by followingdB=20log( {output} over {input} )The magnitude increases very rapidly as the applied frequency approaches the resonant frequency. Also, as damping radio varies, the peak value of the magnitude changes4. Experimental Procedure① Build a RLC circuit as show in the Fig. 4.1② Connect the point 1 to FUNC OUT and connect the point 4 to AIGND(ground)③ Connect the point 1 to ACH1+ and connect the point 3 to ACH0+.④ Turn on the equipment and run Bode Analyzer in the PC⑤ Run Bode Analyzer and set the Start Frequency to 10.00 Hz, and Steps, StopFrequency as your choice. Set Y Scale to Linear mode.⑥ Click Run and draw Bode plots.⑦ Measure the values of R, L, C, and compute the resonant frequency and thedamping ratio based on the following equations. (Compare the results withexperimental results)Fig 4.1 RLC circuitElements for RLC circuit-ResistanceResistanceResistance color codeTheoreticalValue(Ω)1stibel

공학/기술| 2015.03.08| 19페이지| 1,500원| 조회(415)

진동, 성균관대, System dynamics and, 진동및동적시스템설계실습..

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성균관대 진동및동적시스템설계실습 단진자 복합진자 자유진동 Simple/Compound Pendulum and Free Vibration

과 목 명 : 진동및동적시스템설계실습과 제 명 :담당교수 :학 과 :학 번 :이 름 :제 출 일 :Simple/Compound Pendulum and Free Vibration ExperimentsExperiment A : Simple/Compound Pendulum1. Objective of Experiment-The major technique of solving systems of equations is changing the original problem into another one which is of an easier to solve form. In this procedure we need to be sure that the new system has the same solution set. No solution is added and no solution is lost. It leads to the concept of equivalent systems. In this experiment, we change compound pendulum into simple pendulum which is called equivalent system-Study about the related theories for this experiment like center of percussion and parallel axis theorem.2. Theory2.1 simple pendulumFig 2.1.1 Simple pendulum and its FBDA pendulum is a weight suspended from a pivot so that it can swing freely. When a pendulum is displaced sideways from its resting equilibrium position, it is subject to a restoring force due to gravity that will accelerate it back towatural frequency remains the same.-Center of percussionThe percussion or striking of a moving body can be greatest at a particular point the so-called “Center of Percussion” in which the whole percussion force of the body can be concentrated The center of percussion (COP) is a very important location such that it creates a case of ?no shock?. This COP is also known as a “sweet spot” as the horizontal reaction or the shock at the pivot point vanishes. This also creates the minimum vibrations to the swinging body.2.3 Parallel axis TheoremThe moment of inertia of any object about an axis through its center of mass is the minimum moment of inertia for an axis in that direction in space. The moment of inertia about any axis parallel to that axis through the center of mass is given byI=I _{cm}+Md^2Fig 2.3 Parallel axis TheoremThe expression added to the center of mass moment of inertia will be recognized as the moment of inertia of a point mass - the moment of inertia about a parallel axis ism experiment, the errors were very small, which are lower than0.5% in the first and second experiments both. This is because, I think, there were few error factors in our experiment. We measured the period of the simple pendulum with FFT equipment which is very accurate program, comparing with human. By taking the average period of 5 times back and forth motion, it reduced the error which can be caused by human’s measurement mistake. Simple pendulum was connected to the pivot point with string that also make very small friction in comparison with the compound pendulum using the stuff like nail.Error factors-There are several non-conservative forces making mechanical energy loose like air resistance, friction between strings, pin, and pivot.-We assumed that the simple pendulum as the particle model. It has volume and mass distribution. Considering this fact, we have to apply the moment of inertia of sphere and parallel axis theorem to get a better theoretical approximation.-Although we series and parallelFig 2.3.1-Spring in seriesConsider two springs with force constantsk_1 andk_2connected in series supporting a loadF=mg as shown in the Fig 2.2.1 (b). Let the force constant of the combination be represented byk_eq. For the combination, supporting the loadF=mg=k _{eq} x wherex is the total stretch, andx= {F} over {k_eq}.For each spring, the bottom supportsF=mg and stretches byx_1.F=k _{1}x_1 orx _{1} = {F} over {k _{1}}.The top spring supportmg plus the weight of the bottom spring which is negligible. ThusF is the stretching force for both springs.F=k _{2} x _{2} orx _{2} = {F} over {k _{2}}.The total stretch isx=x _{1} +x _{2} or{F} over {k _{eq}} = {F} over {k _{1}} + {F} over {k _{2}},therefore,{1} over {k _{eq}} = {1} over {k _{1}} + {1} over {k _{2}}-Spring in parallelConsider two springs with force constantsk_1 andk_2connected in parallel supporting a loadF=mg as shown in the Fig 2.2.1 (c). Let the force constant of the combination be represented byk _{eq}. Formental} over {E`xperimenal} TIMES 100%= {59.071-38.0780} over {59.071} =35.539%ⅱ)k_2-Theoretical calculation (length, mass)k _{2} = {mg} over {x} = {0.560kg TIMES 9.81m/s ^{2}} over {(0.216-0.1135)m} =53.596N/momega _{n} = sqrt {{k _{2}} over {m}} = sqrt {{53.596} over {0.560}} =9.783Hz-Experimental result (time)omega _{n} = {2pi} over {T}k _{2} =m TIMES omega _{n} ^{2}no.5T`(sec)T _{avg} (sec)omega _{n} `(Hz)k _{2} (N/m)13.940.7798.06636.43423.8733.88average3.897Error _{omega _{n}} = {Theoretical-E`xperimental} over {E`xperimenal} TIMES 100%= {9.783-8.066} over {9.783} =17.551%Error _{k _{2}} = {Theoretical-E`xperimental} over {E`xperimenal} TIMES 100%= {53.596-36.434} over {53.596} =32.021%ⅲ)series-Theoretical calculation (length, mass){1} over {k _{eq}} = {1} over {k _{1}} + {1} over {k _{2}}k _{eq} = {k _{1} k _{2}} over {k _{1} +k _{2}} = {59.071 TIMES 53.596} over {59.071+53.596}=28.100N/momega _{n} = sqrt {{k _{eq}} over {m}} = sqrt {{28.100} over {0.560}} =7.084Hz-Experimental f

공학/기술| 2015.03.08| 19페이지| 1,500원| 조회(280)

진동, 진자, 성균관대, Simple/Compound Pend, 진동및동적시스템

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성균관대 진동및동적시스템설계실습 질점낙하 Point Mass Downfall

과 목 명 : 진동및동적시스템설계실습과 제 명 :담당교수 :학 과 :학 번 :이 름 :제 출 일 :1. Point Mass Downfall1.1 Objective of experimentThe object falling on the curvature is off-bending in a moment and goes the free-fall. In theory, calculate the falling point of object and review the results as compared to the measuring values.1.2 Basic theory1.2.1 Conservation of mechanical energyAccording to the principle of conservation of mechanical energy, the mechanical energy of an isolated system remains constant in time, as long as the system is free of friction and other non-conservative forces. In other words, if there are no nonconservative forces, then no nonconservative work is done and mechanical energy is conserved.PE _{1} +KE _{1} =PE _{2}+KE_2This relationship is often referred to as conservation of mechanical energy. It says that, in the absence of nonconservative forces, the total mechanical energy of the system (potential plus kinetic) is constant.1.2.2 Theoretical calculationFig 1.2.2.1 Experiment setupIf ther over {3 TIMES 0.6} = {8} over {9}theta _{max} =cos ^{-1} ( {2h} over {3r} )=27.266 DEG sin theta_{max}=0.45812v _{d} = sqrt {{2gh} over {3}} = sqrt {{2 TIMES 9.81 TIMES 0.8} over {3}} =2.2874`m/sv _{x} =v _{d} cos theta _{max}=2.0332`m/s,v _{y} =v _{d} sin theta _{max}=1.0479`m/s{1} over {2} gt ^{2} +v _{y} t-R`cos theta _{max}=0t=0.23980sS=v _{x} t-R(1-sin theta _{max} )=2.0332 TIMES 0.23980-0.6(1-0.45812)=0.16243m=16.243cm(ⅱ) h = 90cmcos theta _{max} = {2h} over {3r} = {2 TIMES 0.9} over {3 TIMES 0.6} =1theta _{max} =cos ^{-1} ( {2h} over {3r} )=0DEGsin theta _{max} =0v _{d} = sqrt {{2gh} over {3}} = sqrt {{2 TIMES 9.81 TIMES 0.9} over {3}} =2.4261`m/sv _{x} =v _{d} cos theta _{max} =2.4261`m/s,v _{y} =v _{d} sin theta _{max} =0`m/s{1} over {2} gt ^{2} +v _{y} t-R`cos theta _{max}=0t=0.34975sS=v _{x} t-R(1-sin theta _{max} )=2.4261times0.34975-0.6(1-0)=0.24853`m=24.853`cm(ⅲ) h = 100cmcos theta _{max} = {2h} over {3r} = {2 TIMES 1} over {3 TIMES 0.6} = {10} over {9} ※ It is impossibloor, some energy of the ball convert into thermal energy and spread out into the air. If there is no slip, which only static friction is exerted on the ball, the static friction does no work on the ball-There is vibration of the ball because of friction, and it make some sound energy. The mechanical energy would be decreased.c. Environmental causes-A4 paper move when the ball drop because A4 paper is very light and easy to wrinkle.-The ball does not fly straight. It flies along oblique line, but we measure the straight line. It makes error.-The floor is not smooth, so the curve is not semi-circle. It changes thetheta _{max}, thenS also changes.2. The Center of Mass and Mass Moment of Inertia2.1 Objective of experimentFrom the Newton's law of motionsum _{} ^{} F=ma, when the object is given the constant power, we find out that the mass is inversely proportional to the mass of the acceleration. From the Euler's law of motionsum _{} ^{} M=I` alpha , when the object is given the constant tparallel axis is the center of mass moment plus the moment of inertia of the entire object treated as a point mass at the center of mass.2.2.2 Theoretical calculation(Center of mass)Fig 2.2.2.1 Experiment setupIf the object is in mechanical equilibrium, the sum of the force and the moment exerted on the rigid body is zero.sum _{} ^{}F=0 andsum _{ } ^{ }M=0. If we set up the experiment like Fig 2.2.2.1, two equations are established.sum _{} ^{} M _{A} =-W _{G} `a+W _{B} `l=0sum _{} ^{} M _{B} =W _{G} `b-W _{A} `l=0∵a+b=lCombine two moment equations, we getW _{G}=W_{A}+W_BorW_G is simply measured with the balance.Rearrange the equation for a and ba= {W _{B} `l} over {W _{G}} ,b= {W _{A} `l} over {W _{G}}2.2.2 Mass moment of inertiaFig. 2.2.2.1 Experimental setupThe tension exerted on the lines connected to the plate isT= {(m+m _{0} )g} over {4}-4T`sin phi `r=I`{ddot{theta}}Ifphi andtheta are very small, the following relationship is established.sin phi CONG phi ,sin theta CONG theta FromAverage0.4000.5400.6680.4610.0036280.009128Tab 2.4.2.1Theoretically the moment of inertia can be obtained from the equation in the Fig 2.2.1.1. The moment of the plate is obtained from the equation of the cylinder shape.I _{0} = {1} over {2} m _{0} r _{0} =0.0045kg·m ^{2}Fig 2.4.2.1 The object used in the experimentIf the object in Fig 2.4.2.1 is exactly put on the center of the plate at the experiment. The moment of inertia of the plate with the object can be calculated from the following equation.I=I _{0} + {1} over {12} m(a ^{2} +b ^{2} )Our experiment only was to find experimental result. We did not measurea andb value at the experiment. If we measureda andb, we could compare the theoretical values and experimental results.2.5 Discussion2.5.1 Center of massWe found that the length of the object from the experiment is smaller than actual length. When we measure theW _{A} andW _{B},W _{A} is heavier thanW _{B}. That is because the pointA is closer the center of mass.Error factors.-Wetml

공학/기술| 2015.03.08| 15페이지| 1,500원| 조회(577)

진동, 성균관대, 질점낙하, point mass downfall

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