2. Two blocks having masses m1 and m2 are connected to each T3 other by a light cord that passes over two identical, friction- less pulleys, each having a moment of inertia / and radius R, as shown in Figure B. Find the acceleration of each block and the tensions T1, T3 my m2 (a) (b) T2, and T3 in the cord. (Assume no slipping between cord and pulleys.) T2 FIGURE B T3 (c)

Two blocks are connected to a rope, and the rope is hung over a pulley connected to the ceiling, as shown in the figure below. 1721 Mo i The masses of the blocks are m₁ = 16.0 kg and m₂ = 11.5 kg, the mass of the pulley is M = 5.00 kg, and the radius of the pulley is R = 0.100 m. Block m₂ is initially on the floor, and block m₁ is initially 4.20 m above the floor when it is released from rest. The pulley's axis has negligible friction. The mass of the rope is small enough to be ignored, and the rope does not slip on the pulley, nor does it stretch. (a) How much time (in s) does it take block m, to hit the floor after being released? At₁ S (b) How would your answer to part (a) change if the mass of the pulley were neglected? (Enter the time, in seconds, it takes block m, to hit the floor if the mass of the pulley were neglected.) At₂

2. Consider the situation shown below, with all of the values labeled as shown. Assume that m₂ accelerates downward. Say T₁ is measured to be 20.0 N, and the mass of m₁ is unknown. The pulley has a radius of 0.300 m and a mass of 2.00 kg., and it can be modeled as a solid disk. The mass of m₂ is 5.00 kg. What is the magnitude of the acceleration of m2 and the magnitude of the tension T₂? frictionless incline m₁ T₁₂ Solid disk: M, R T₂ frictionless bearing at center of pulley m₂

PRINTER VERSION BACK NEXT Chapter 10, Problem 051 GO In the figure, block 1 has mass m, - 488 g, block 2 has mass m, = 551 g, and the pulley is on a frictionless horizontal axle and has radius R = 4.78 cm. When released from rest, block 2 falls 71 9 cm in 5 27 s without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension T, (the tension force on the block 2) and (c) tension T, (the tension force on the block 1)? (d) What is the magnitude of the pulley's angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g = 9.81 m/s. m2 (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number Units