Asmall sphere with mass m is attached to a massless rod of length l that is pivoted at the top, forming a simple pendulum.
the pendulum is pulled to one side so that the rod is at an angle θ from the vertical, and released from rest.
(a) in a diagram, show the pendulum just after it is released. draw vectors representing the forces acting on the small sphere and the acceleration of the sphere. accuracy counts! at this point, what is the linear acceleration of the sphere?
(b) repeat part (a) for the instant when the pendulum rod is at an angle θ/2 from the vertical.
(c) repeat part (a) for the instant when the pendulum rod is vertical. at this point, what is the linear speed of the sphere?
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