hw13 - velocity of the block after the pulley rotates 5...

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Homework No. 13 Work and power in rotation 10.32 Ans : (a) 46.2 rad/s 2 (b) 53.9 rad/s (c) 61.3 kJ (d) 52.6 kW (e) 105 kW Note : Treat the propeller as a slender rod pivoted at its center. O R = 0.4 m L = 0.6 m Energy equation including rigid body rotation CHANG 1 An 8 Kg slender rod and a small 4 Kg sphere are mounted on a 15 Kg disk. The assembly is released from rest at the horizontal position shown. Find the angular velocity of the assembly when it rotates 90° down to the vertical position. Ans : 5.11 rad/s CHANG 2 The 10 Kg block is attached to a spring (k = 100 N/m) and a cord that wraps around the pulley as shown. The block slides on the tabletop ( μ = 0.4) as a constant torque τ = 25 Nm is applied to turn the pulley from rest. The pulley (radius R = 0.1 m, moment of inertia I = 0.24 Kgm2) is pivoted at the center and the spring is initially unstretched. Fin k d the
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Unformatted text preview: velocity of the block after the pulley rotates 5 revolu k tions. Ans : 3.15 m/s 36.87 k = 0.25 A B 2.5 m 1 m/s 1 m/s CHANG 3 Two blocks A ( m A = 8 Kg) and B ( m B = 1 Kg) are connected by a cable over a pulley ( m B 2 eed P = 4 Kg), and the blocks are released with an initial sp = 1 m/s as shown. The radius of the pulley is R = 0.1 m and it can be treated as a disk pivoted at the center. Find the velocity of the blocks just before B strikes the floor. Ans : 3.67 m/s Conservation of angular momentum Y&F 10.86 **(a) only** Ans : (a) 0.785 rad/s Y&F 10.47 **(a) only** Ans : (a) 5.88 rad/s 0.5 m 0.75 m CHANG 4 A lump of 2 Kg putty with speed is thrown toward the 8 Kg rod initially at rest. If the energy loss is 300 J during the collision, find the initial speed of the putty. Ans : 20 m/s Y&F 10.92 Ans : 0.440 m...
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This note was uploaded on 03/05/2009 for the course PHYS 2305 taught by Professor Tschang during the Fall '08 term at Virginia Tech.

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hw13 - velocity of the block after the pulley rotates 5...

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