prob1b - APSC112 Problems 1B Conservation of Energy Note...

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APSC112 Problems 1B: Conservation of Energy Note that these problems are all at quiz or final exam level. See the course manual and previous exams for more examples. B1. See Fig. B1. A light cord is wrapped around a pulley of radius R and mass M R and passes over another pulley of radius r and mass M r . The pulleys are both on fixed smooth, axles. The end of the cord supports a mass m . (i) If the system is initially at rest, what is the velocity and acceleration of m after it has dropped a distance z ? Assume the pulleys can be treated as solid disks. (ii) What is the time taken to drop the distance z ? Take M R = 1 . 0kg, M r = 0 . 5kg, m = 0 . 25kg, z = 1 . 5m. B2. Four thin rods, each of length l and mass m , form a square. One side of the square is attached to a smooth axle as shown in Fig. B1. (i) What is the moment of inertia of the square about the axle? (ii) If the square is held horizontally and then released, what is its angular velocity after rotating through 90 ?
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