Questions 19-20 Two blocks of masses m and 2m are connected by a very light flexible cord that runs without slipping over a pulley of mass m. The pulley is a solid uniform disk and is supported by a hook connected to the ceiling. The pulley rotates about its axle without friction. (The moment of inertia of a pulley with mass M and radius R, about its axle is given as 1/2 MR^2) 19. What is the acceleration of the blocks? (a) 2g/7 (b) g/10 (c) 3g/5 (d) 2g/5 (e) g/5 20. What force does the ceiling exert on the hook? (a) 6mg (b) 9mg/5 (c) 26mg/7 (d) 18mg/5 (e) 4mg
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The gravitational force on the block of mass m is mg, and on the block of mass 2m is 2mg. The tension in the cord acts on both blocks and the pulley. Let T1 be the tension in the cord on the side of the block with mass m, and T2 be the tension in the cord on the Show more…
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block 1 has mass m1 = 460 g, block 2 has mass m2 = 520 g, and the pulley is on a frictionless horizontal axle and has radius R = 5.0cm. When released from rest, block 2 falls 74 cm in 5.4 s without the cord slipping on the pulley. (a)What is the magnitude of the acceleration of the blocks? What are (b) tension T2 (the tension force on the block 2) and (c) tension T1 (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/s2.
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Two blocks are arranged as the Atwood Machine. Two masses are attached to each other through an inelastic and massless cord. Each mass hangs from each side of a pulley, which is mounted on a horizontal axle with negligible friction, and which has a radius R = 5.00 cm. Block 1 has mass m1= 460 g, block 2 has a mass m2 = 500 g. Block 2 falls 75.0 cm in 5.00 s when released from rest, without the cord slipping on the pulley. a) DRAW A DIAGRAM b) What is the magnitude of the acceleration of the blocks? c) What is the tension on each side of the cord? d) What is the magnitude of the pulley’s angular acceleration? e) What is its rotational inertia?
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