# Classical mechanics

A pendulum of mass m= 0.9 kg and length l=1 m is hanging from the ceiling. The massless string of the pendulum is attached at point P. The bob of the pendulum is a uniform shell (very thin hollow sphere) of radius r=0.4 m, and the length l of the pendulum is measured from the center of the bob. A spring with spring constant k= 14 N/m is attached to the bob (center). The spring is relaxed when the bob is at its lowest point (θ=0). In this problem, we can use the small-angle approximation sinθ≃θ and cosθ≃1. Note that the direction of the spring force on the pendulum is horizontal to a very good approximation for small angles θ. (See figure)

Take g= 10 m/s2

(a) Calculate the magnitude of the net torque on the pendulum with respect to the point P when θ=5∘. (magnitude; in Nm)

|τP|=

(b) What is the magnitude of the angular acceleration α=θ¨ of the pendulum when θ=5∘? (magnitude; in radians/s2)

|α|=

(c) What is the period of oscillation T of the pendulum? (in seconds)

T=

1. 👍 0
2. 👎 0
3. 👁 143
1. torque=2.0071
angular acceleration=2.01516

1. 👍 0
2. 👎 0
2. lies!

1. 👍 0
2. 👎 0
posted by KS

## Similar Questions

1. ### physics help

A pendulum of mass m= 0.8 kg and length l=1 m is hanging from the ceiling. The massless string of the pendulum is attached at point P. The bob of the pendulum is a uniform shell (very thin hollow sphere) of radius r=0.4 m, and the

asked by Anonymous on January 10, 2014
2. ### physics help

A pendulum of mass m= 0.8 kg and length l=1 m is hanging from the ceiling. The massless string of the pendulum is attached at point P. The bob of the pendulum is a uniform shell (very thin hollow sphere) of radius r=0.4 m, and the

asked by Anonymous on January 10, 2014
3. ### Physics Classical Mechanics Help ASAP

A pendulum of mass m= 0.8 kg and length l=1 m is hanging from the ceiling. The massless string of the pendulum is attached at point P. The bob of the pendulum is a uniform shell (very thin hollow sphere) of radius r=0.4 m, and the

asked by Anonymous on January 10, 2014
4. ### PHYSICS(HELP)

A pendulum of mass m= 0.8 kg and length l=1 m is hanging from the ceiling. The massless string of the pendulum is attached at point P. The bob of the pendulum is a uniform shell (very thin hollow sphere) of radius r=0.4 m, and the

asked by Anonymous on January 11, 2014
5. ### physics Classical Mechanics

A pendulum of mass m= 0.9 kg and length l=1 m is hanging from the ceiling. The massless string of the pendulum is attached at point P. The bob of the pendulum is a uniform shell (very thin hollow sphere) of radius r=0.4 m, and the

asked by Anonimus on January 12, 2014
6. ### physics (Urgent)!!!!!!!!!!!!!!!!!!!!!!

A pendulum of mass m= 0.9 kg and length l=1 m is hanging from the ceiling. The massless string of the pendulum is attached at point P. The bob of the pendulum is a uniform shell (very thin hollow sphere) of radius r=0.4 m, and the

asked by Anonimus on January 12, 2014
7. ### Physics

Consider the conical pendulum, a mass on the end of a string, with the other end of the string fixed to the ceiling. Given the proper push, this pendulum can swing in a circle at an angle q of 25.5 with respect to the vertical,

asked by Luke on November 13, 2012
8. ### physics

A simple pendulum consists of a ball of mass 5.39 kg hanging from a uniform string of mass 0.0789 g and length L. The period of oscilla- tion for the pendulum is 2.51 s. Determine the speed of a transverse wave in the string when

asked by ryan on June 20, 2011
9. ### Phyiscs help 3

The height of a tower is measured by attaching a simple pendulum to its ceiling, whose length is barely enough to stay off the floor. The pendulum is let go from a small angle, and takes 13 s to return to the same location it

asked by kelsey on November 9, 2008
10. ### physics

A pendulum consists of a mass m = 0.12 kg hanging from a flexible string of length L. The string is very thin, very light, and does not stretch. It makes small oscillations, with a period of 0.663 s. What is the oscillation

asked by Joan on April 29, 2011

More Similar Questions