System Dynamics
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ISBN: 9789814636056
Publisher: McGraw-Hill Education (Asia)
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Chapter 6, Problem 6.10P
The resistance of a telegraph line is
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Two blocks are connected by an ideal string, which passes over a pulley without slipping (see figure). The magnitudes of the wire voltages applied to blocks 1 and 2 are represented, respectively, by T1 and T2. Consider T2>T1. In this case, the pulley rotates counterclockwise.
The pulley has radius R=0.10 m and rotates around an axis perpendicular to its surface passing through its CM. The CM of the pulley coincides with its center.
The pulley's moment of inertia about the axis of rotation is denoted by I and its angular acceleration is α=0.50 rad/s2.
If T2=87 N and T1=50 N, determine I (in kg⋅m2).
A) 0,67
B) 0,56
C) 15
D) 28
E) 24
F) 0,85
G) 14
H) 7,4
A d.c. shunt-wound generator running at constant speed generates a voltage of 150 V at a certain value of field current. Determine the change in the generated voltage when the field current is increased by 20%, assuming theflux is proportional to the field current.
A spring-mass system with m = 50kg and k = 4000N/m shown in Figure Q3(a).If the mass is released from its equivalent position and results in simpleharmonic motion (SHM),(i) Starting from a free body diagram, derive the equation of motion.(ii) Determine the natural frequency. (iii) Explain on how you can reduce the natural frequency of the spring-masssystem.
Chapter 6 Solutions
System Dynamics
Ch. 6 - Prob. 6.1PCh. 6 - Determine the voltage v1 in terms of the supply...Ch. 6 - The Wheatstone bridge, like that shown in Figure...Ch. 6 - Prob. 6.4PCh. 6 - Obtain the model of the voltage v1 , given the...Ch. 6 - Prob. 6.6PCh. 6 - Prob. 6.7PCh. 6 - Prob. 6.8PCh. 6 - Prob. 6.9PCh. 6 - The resistance of a telegraph line is R=10 , and...
Ch. 6 - Obtain the model of the voltage vo , given the...Ch. 6 - Obtain the model of the voltage vo , given the...Ch. 6 - Obtain the model of the current i, given the...Ch. 6 - Prob. 6.14PCh. 6 - Obtain the model of the currents i1 , i2 , and i3...Ch. 6 - Obtain the model of the currents i1 , i2 , and the...Ch. 6 - Prob. 6.17PCh. 6 - Prob. 6.18PCh. 6 - Prob. 6.19PCh. 6 - Prob. 6.20PCh. 6 - Use the impedance method to obtain the transfer...Ch. 6 - Use the impedance method to obtain the transfer...Ch. 6 - Use the impedance method to obtain the transfer...Ch. 6 - Use the impedance method to obtain the transfer...Ch. 6 - 6.25 Use the impedance method to obtain the...Ch. 6 - Prob. 6.26PCh. 6 - Prob. 6.27PCh. 6 - Prob. 6.28PCh. 6 - Prob. 6.29PCh. 6 - Prob. 6.30PCh. 6 - Prob. 6.31PCh. 6 - Prob. 6.32PCh. 6 - Prob. 6.33PCh. 6 - (a) Obtain the transfer function s/Vi for the...Ch. 6 - (a) Obtain the transfer function s/VLs for the...Ch. 6 - Prob. 6.36PCh. 6 - Prob. 6.37PCh. 6 - Figure P6.38 is the circuit diagram of a...Ch. 6 - Prob. 6.39PCh. 6 - Prob. 6.40PCh. 6 - Prob. 6.41PCh. 6 - Prob. 6.42PCh. 6 - A single link of a robot arm is shown in Figure...Ch. 6 - A conveyor drive system to produce translation of...Ch. 6 - Prob. 6.45PCh. 6 - Prob. 6.46PCh. 6 - Prob. 6.47P
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- A musical string instrument, has a string with a linear mass density of 5 g/m, vibrating in its fifth harmonic mode, and it produces a wave of frequency 768 Hz when tightened to a tension of 80 N. Sketch the corresponding standing wave pattern and find the length of the string? Remember that it is in the fifth harmonic mode. Thank youarrow_forwardA block with a speaker bolted to it is connected to a spring having spring constant k=20.0N/m as in figure P17.40 The total mass of the block and speaker is 5.00lg and the amplituted if this unit's motion is 0.500m. a) If the speaker emits sound waves of frequency 440Hz, determine the highest and lowest frequencies heard by the person to the right of the speaker b) If the maximum sound level heard by the person is 60.0 dB when he is closed to the speaker, 1.00m away, what is the minimum sound level heard by the observer? Assume that the speed of sound is 343m/sarrow_forwardFind the natural frequencies for the system illustrated below.arrow_forward
- Consider the system shown in Figure Q8 with m1=100 kg, m2=5000 kg,k1=10,000 N/m, and k2=1,000,000 N/m. (c) Find the natural frequencies of the systemarrow_forwardDC and AC subject: 1. Consider a wire carrying a current in the presence of a magnetic field, and a given flux density of 0.25 T. If the wire is 1.0 m long and carries a 0.5 A current, what is the magnitude of the force induced in the wire? 2. The wire shown is moving in the presence of a magnetic field. With the information given in the figure, determine the magnitude and direction of the induced voltage in the wire. (see the figure below)arrow_forwardA spring is stretched 200 mm by a 15-kg block. If the block is displaced 200 mm downward from its equilibrium position and given a downward velocity of 0.75 m/s, What is the phase angle? Assume that positive displacement is downward.arrow_forward
- a string is attached to a mechanical vibrator, which has a frequency of 30Hx. the sttring is 3.0m long and has a linear density of .4 g/cm. the tension is varied by adding weights to teh string passing over the pully. What tension is needed to cause the string to resonate with the vibrator in four segments. assume that he points where the string meets the vibrator and the pulley are approx nodes.arrow_forwardDiscussion: 1- Measuring the angle of phase shift for every state. set the AC voltage source 15V and using the data in the following table NO. Frequency | Capacitance | Resistance | Inductance 1 2KHZ 0.1uF 100Q 0.1mH 2 20 KHZ 0.1 yF 100 Q 0.1 mH 3 200 KHZ |0.1 pF 100 Q 0.1 mH 2- Draw the phase shift for every state as graph .arrow_forwardA device with a mass of 1000 kg is placed on top of the suspension, whereby the springs are compressed into a pile a distance of 4 mm. What is the system specific angle frequency (rad / s) to one decimal place?arrow_forward
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