SHM: The Simple Pendulum Term: Name: 1. A simple pendulum of length 1 m swings for 5 cycles on another planet in a time of 7 sec. What is the acceleration due to gravity on this planet? ,2 a. 0.8 m/s² b. 4.5 m/s? с. 6.4 т/s? d. 9.8 m/s2 e. 20 т/s? 2. Pendulum A has twice the frequency of pendulum B. What is the ratio of A's string length to B's? a. 0.25 b. 0.5 c. 1 d. 2 e. 4 3. If a pendulum is to move from one end of its swing to the other in 1 second, what string length is needed? а. 0.25 т b. 0.8 m С. 1 т d. 2 m e. 2.9 m 4. The period of a simple pendulum is 0.50 sec when the bob mass is 10 g. What is the period when the mass is 20 g instead? a. 0.25 sec b. 0.50 sec c. 1.00 sec d. 2.00 sec e. 4.00 sec 5. The simple pendulum equation for the period does not depend on amplitude of swing. a. True b. False sunde

SHM: The Simple Pendulum Term: Name: 1. A simple pendulum of length 1 m swings for 5 cycles on another planet in a time of 7 sec. What is the acceleration due to gravity on this planet? ,2 a. 0.8 m/s² b. 4.5 m/s? с. 6.4 т/s? d. 9.8 m/s2 e. 20 т/s? 2. Pendulum A has twice the frequency of pendulum B. What is the ratio of A's string length to B's? a. 0.25 b. 0.5 c. 1 d. 2 e. 4 3. If a pendulum is to move from one end of its swing to the other in 1 second, what string length is needed? а. 0.25 т b. 0.8 m С. 1 т d. 2 m e. 2.9 m 4. The period of a simple pendulum is 0.50 sec when the bob mass is 10 g. What is the period when the mass is 20 g instead? a. 0.25 sec b. 0.50 sec c. 1.00 sec d. 2.00 sec e. 4.00 sec 5. The simple pendulum equation for the period does not depend on amplitude of swing. a. True b. False sunde

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter13: Vibrations And Waves

Section: Chapter Questions

Problem 40P: A simple pendulum is 5.00 in long. (a) What is the period of simple harmonic motion for this...

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A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.50 N is applied. A 0.500-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (a) What is the force constant of the spring? (b) What are the angular frequency , the frequency, and the period of the motion? (c) What is the total energy of the system? (d) What is the amplitude of the motion? (c) What are the maximum velocity and the maximum acceleration of the particle? (f) Determine the displacement x of the particle from the equilibrium position at t = 0.500 s. (g) Determine the velocity and acceleration of the particle when t = 0.500 s.
A simple pendulum makes 120 complete oscillations in 3.00 min at a location where g = 9.80 m/s2. Find (a) the period of the pendulum and (b) its length.
(a) What is the effect on the period of a pendulum if you double its length? (b) What is the effect on the period of a pendulum if you decrease its length by 5.00%?
A block with mass m = 0.1 kg oscillates with amplitude .A = 0.1 in at the end of a spring with force constant k = 10 N/m on a frictionless, horizontal surface. Rank the periods of the following situations from greatest to smallest. If any periods are equal, show their equality in your tanking, (a) The system is as described above, (b) The system is as described in situation (a) except the amplitude is 0.2 m. (c) The situation is as described in situation (a) except the mass is 0.2 kg. (d) The situation is as described in situation (a) except the spring has force constant 20 N/m. (e) A small resistive force makes the motion underdamped.
A clock is constructed so that it keeps perfect time when its simple pendulum has a period of 1.000 s at locations where g = 9.800 m/s2. The pendulum bob has length L = 0.248 2 m, and instead of keeping perfect time, the clock runs slow by 1.500 minutes per day. (a) What is the free-fall acceleration at the clocks location? (b) What length of pendulum bob is required for the clock to keep perfect time?
A simple pendulum has mass 1.20 kg and length 0.700 m. (a) What is the period of the pendulum near the surface of Earth? (b) If the same mass is attached to a spring, what spring constant would result in the period of motion found in part (a)?
Some people think a pendulum with a period of 1.00 s can be driven with “mental energy” or psycho kinetically, because its period is the same as an average heartbeat. True or not, what is the length of such a pendulum?
A very light rigid rod of length 0.500 m extends straight out from one end of a meterstick. The combination is suspended from a pivot at the upper end of the rod as shown in Figure PI5.42. The combination is then pulled out by a small angle and released, (a) Determine the period of oscillation of the system, (b) By what percentage does the period differ from the period of a simple pendulum 1.00 m long?
A simple pendulum is 5.00 in long. (a) What is the period of simple harmonic motion for this pendulum if it is located in an elevator accelerating upward at 5.00 m/s2? (b) What is its period if the elevator is accelerating downward at 5.00 m/s2? (c) What is the period of simple harmonic motion for the pendulum if it is placed in a truck that is accelerating horizontally at 5.00 m/s2?
A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.50 N is applied. A 0.500-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (a) What is the force constant of the spring? (b) What are the angular frequency , the frequency, and the period of the motion? (c) What is the total energy of the system? (d) What is the amplitude of the motion? (c) What are the maximum velocity and the maximum acceleration of the particle? (f) Determine the displacement x of the particle from the equilibrium position at t = 0.500 s. (g) Determine the velocity and acceleration of the particle when t = 0.500 s.
(a) If frequency is not constant for some oscillation, can the oscillation be simple harmonic motion? (b) Can you mink of any examples of harmonic motion where the frequency may depend on the amplitude?
Is it possible to have damped oscillations when a system is at resonance? Explain.