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1. A baseball player swings a bat, accelerating it uniformly from rest to 4.2 re

ID: 1318758 • Letter: 1

Question

1. A baseball player swings a bat, accelerating it uniformly from rest to 4.2 revolutions/second in 0.25 s. Assume the bat is modeled as a uniform rod (I = 1/3 ML), and has m = 0.91 kg and is 0.86 m long. Find the torque applied by the player to the bat. 2. Two masses of 3.1 kg and 4.6 kg are attached to either end of a thin, light rod (assume massless) of length 1.8 m. Compute the moment of inertia for: a) The rod is rotated about its midpoint. b) The rod is rotated at a point 0.30 m from the 3.1 kg mass. c) The rod is rotated about the end where the 4.6 kg mass is located. 23. A large pulley of mass 5.21 kg (its mass cannot be neglected) is rotated by a constant Tension force of 19.6 N in the counterclockwise direction. The rotation is resisted by the frictional torque of the axle on the pulley. The frictional torque is a constant 1.86 N-m in the clockwise direction. The pulley accelerates from 0 to 27.2 rad/s in 4.11 s. Find the moment of inertia of the pulley.

Explanation / Answer

21. angular acc provided = 4.2 *2pie /0.25 = 105.504 rad /s^2

torque = ang acc * moment of inertia = 105.504 rad /s^2 *0.2243 = 23.67 Nm