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301 (F98) Exam #2

# 301 (F98) Exam #2 - Physics 301(Fall 1998 Second...

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Physics 301 (Fall 1998) Second Exam (October 9, 1998) Name 1. [25 points total] A simple pendulum consists of a small ball of mass m = 200g swinging on a massless, inextensible string of length R = 7m. At time t = 0 the pendulum is released from the horizontal position, as shown below. A short time later, the pendulum reaches the bottom of its swing and encounters a nail sticking out of the page a distance L = 6m below the pivot point. The pendulum begins to wrap around the nail, and at time t = t top it is at the top of its first rotation. A. Is mechanical energy of the earth-ball system conserved during the interval from t = 0 to t = t top ? Explain your reasoning. B. Find the speed of the ball at time t = t top . (Assume g = 10 m/s 2 .) Show your work. C. Find the magnitude and direction of the acceleration of the ball at t = t top . Show your work. D. Find the magnitude and direction of the net force on the ball at t = t top . Show your work.

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E. Find the tension in the string at t = t top . Show your work.
Name Total Points 2. [30 points total]

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