A ball with mass m is attached to the end of a flagpole as shown in the figure below. The flagpole is connected to the side of a building at point P, has a length e, and makes an angle 0 with the x-axis. (Consider the +x-direction to be to the right, the +y-direction upward, and the +z-direction to be out of the page.) At time t = 0, the ball becomes loose and begins to fall off of the flagpole with acceleration –gĵ. (a) What is the angular momentum of the ball about point P as a function of time? (Use the following as necessary: m, l, g, t, and 0. Express your answer in vector form.) (b) For what physical reason does the angular momentum change? There is no change in angular momentum. The weight of the flagpole exerts a torque on the ball. There is a torque due to the gravitational force on the ball. (c) What is the rate of change of the angular momentum of the ball about point P? (Use the following as necessary: m, l, g, and 0. Express your answer in vector form.) dL dt

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter11: Dynamics Of Rigid Bodies
Section: Chapter Questions
Problem 11.2P
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A ball with mass m is attached to the end of a flagpole as shown in the figure below. The flagpole is connected to the side of a building at point P, has a length e, and makes
an angle 0 with the x-axis. (Consider the +x-direction to be to the right, the +y-direction upward, and the +z-direction to be out of the page.) At time t = 0, the ball
becomes loose and begins to fall off of the flagpole with acceleration –gĵ.
(a) What is the angular momentum of the ball about point P as a function of time? (Use the following as necessary: m, l, g, t, and 0. Express your answer in vector form.)
(b) For what physical reason does the angular momentum change?
There is no change in angular momentum.
The weight of the flagpole exerts a torque on the ball.
There is a torque due to the gravitational force on the ball.
(c) What is the rate of change of the angular momentum of the ball about point P? (Use the following as necessary: m, l, g, and 0. Express your answer in vector form.)
dL
dt
Transcribed Image Text:A ball with mass m is attached to the end of a flagpole as shown in the figure below. The flagpole is connected to the side of a building at point P, has a length e, and makes an angle 0 with the x-axis. (Consider the +x-direction to be to the right, the +y-direction upward, and the +z-direction to be out of the page.) At time t = 0, the ball becomes loose and begins to fall off of the flagpole with acceleration –gĵ. (a) What is the angular momentum of the ball about point P as a function of time? (Use the following as necessary: m, l, g, t, and 0. Express your answer in vector form.) (b) For what physical reason does the angular momentum change? There is no change in angular momentum. The weight of the flagpole exerts a torque on the ball. There is a torque due to the gravitational force on the ball. (c) What is the rate of change of the angular momentum of the ball about point P? (Use the following as necessary: m, l, g, and 0. Express your answer in vector form.) dL dt
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