A ball with mass m is attached to the end of a flagpole. The flagpole is connected to the side of a building at point P, has a length ℓ, and makes an angle θ 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 θ. Express your answer in vector form.) (b) For what physical reason does the angular momentum change? (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 θ. Express your answer in vector form.)
A ball with mass m is attached to the end of a flagpole. The flagpole is connected to the side of a building at point P, has a length ℓ, and makes an angle θ 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 θ. Express your answer in vector form.) (b) For what physical reason does the angular momentum change? (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 θ. Express your answer in vector form.)
A ball with mass m is attached to the end of a flagpole. The flagpole is connected to the side of a building at point P, has a length ℓ, and makes an angle θ 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 θ. Express your answer in vector form.) (b) For what physical reason does the angular momentum change? (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 θ. Express your answer in vector form.)
A ball with mass m is attached to the end of a flagpole. The flagpole is connected to the side of a building at point P, has a length ℓ, and makes an angle θ 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 θ. Express your answer in vector form.)
(b)
For what physical reason does the angular momentum change?
(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 θ. Express your answer in vector form.)
Study of body parts and their functions. In this combined field of study, anatomy refers to studying the body structure of organisms, whereas physiology refers to their function.
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