Question

In: Physics

A simple pendulum has a mass of 0.650 kg and a length of 7.00 m. It...

A simple pendulum has a mass of 0.650 kg and a length of 7.00 m. It is displaced through an angle of 14.0° and then released. Using the analysis model of a particle in simple harmonic motion, calculate the following. (Give your answer to the thousandths place.)

(a) What is the maximum speed of the bob?


(b) What is the maximum angular acceleration of the bob? (rad/s2)


(c) What is the maximum restoring force of the bob?


(d) Solve parts (a)through (c) by using other analysis models. (Hint: you may need to use separate analysis models for each part.)

maximum speed m/s
maximum angular acceleration rad/s2
maximum restoring force N


(e) Compare the answers.

Solutions

Expert Solution


Related Solutions

A simple pendulum has a mass of 0.550 kg and a length of 2.00 m. It...
A simple pendulum has a mass of 0.550 kg and a length of 2.00 m. It is displaced through an angle of 11.0
A simple pendulum with mass m = 1.6 kg and length L = 2.79 m hangs...
A simple pendulum with mass m = 1.6 kg and length L = 2.79 m hangs from the ceiling. It is pulled back to an small angle of θ = 10.7° from the vertical and released at t = 0. A)What is the period of oscillation? B)What is the magnitude of the force on the pendulum bob perpendicular to the string at t=0? C)What is the maximum speed of the pendulum? D)What is the angular displacement at t = 3.62...
A simple pendulum with mass m = 2.3 kg and length L = 2.67 m hangs...
A simple pendulum with mass m = 2.3 kg and length L = 2.67 m hangs from the ceiling. It is pulled back to an small angle of θ = 9.4° from the vertical and released at t = 0. What is the maximum speed of the pendulum? 4) What is the angular displacement at t = 3.57 s? (give the answer as a negative angle if the angle is to the left of the vertical) 5) What is the...
A simple pendulum with mass m = 1.3 kg and length L = 2.62 m hangs...
A simple pendulum with mass m = 1.3 kg and length L = 2.62 m hangs from the ceiling. It is pulled back to an small angle of ? = 11.6° from the vertical and released at t = 0. What is the period of oscillation? What is the magnitude of the force on the pendulum bob perpendicular to the string at t=0? What is the maximum speed of the pendulum? What is the angular displacement at t = 3.67...
A simple pendulum with mass m = 1.5 kg and length L = 2.49 m hangs...
A simple pendulum with mass m = 1.5 kg and length L = 2.49 m hangs from the ceiling. It is pulled back to an small angle of θ = 9.5° from the vertical and released at t = 0. What is the magnitude of the force on the pendulum bob perpendicular to the string at t=0? What is the maximum speed of the pendulum? What is the angular displacement at t = 3.67 s? (give the answer as a...
The length of a simple pendulum is 0.75 m and the mass of the particle (the...
The length of a simple pendulum is 0.75 m and the mass of the particle (the “bob”) at the end of the cable is 0.26 kg. The pendulum is pulled away from its equilibrium position by an angle of 9.2° and released from rest. Assume that friction can be neglected and that the resulting oscillatory motion is simple harmonic motion. (a) What is the angular frequency of the motion? (b) Using the position of the bob at its lowest point...
The length of a simple pendulum is 0.80 m and the mass of the particle (the...
The length of a simple pendulum is 0.80 m and the mass of the particle (the “bob”) at the end of the cable is 0.31 kg. The pendulum is pulled away from its equilibrium position by an angle of 7.4° and released from rest. Assume that friction can be neglected and that the resulting oscillatory motion is simple harmonic motion. (a) What is the angular frequency of the motion? (b) Using the position of the bob at its lowest point...
The length of a simple pendulum is 0.78 m and the mass of the particle (the...
The length of a simple pendulum is 0.78 m and the mass of the particle (the "bob") at the end of the cable is 0.26 kg. The pendulum is pulled away from its equilibrium position by an angle of 8.70° and released from rest. Assume that friction can be neglected and that the resulting oscillatory motion is simple harmonic motion. (a) What is the angular frequency of the motion? ___rad/s (b) Using the position of the bob at its lowest...
The length of a simple pendulum is 0.84 m and the mass of the particle (the...
The length of a simple pendulum is 0.84 m and the mass of the particle (the "bob") at the end of the cable is 0.23 kg. The pendulum is pulled away from its equilibrium position by an angle of 9.05° and released from rest. Assume that friction can be neglected and that the resulting oscillatory motion is simple harmonic motion.
The length of a simple pendulum is 0.72 m and the mass of the particle (the...
The length of a simple pendulum is 0.72 m and the mass of the particle (the "bob") at the end of the cable is 0.21 kg. The pendulum is pulled away from its equilibrium position by an angle of 8.40° and released from rest. Assume that friction can be neglected and that the resulting oscillatory motion is simple harmonic motion. (a) What is the angular frequency of the motion? ____rad/s (b) Using the position of the bob at its lowest...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT