Final_practice - Final Exam Practice Problems Rigid body...

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Final Exam – Practice Problems Rigid body dynamics 1. A slender rod (mass m = 6 Kg and length L = 0.4 m) is pivoted at the end with a small sphere (mass M = 10 Kg) attached to it at a distance 0.3 m from the pivot O . The assembly is released from rest as shown with θ = 36.87 ˚ , and the size of the sphere is negligible. Find the initial angular acceleration at the instant it is released. m, L M O θ Ans : 27.0 rad/s 2 O R L ω 2. The rigid body assembly is made from a 15 Kg disk, an 8 Kg slender rod, and a small 4 Kg sphere. The radius of the disk is R = 0.4 m and the length of the rod is L = 1.2 m. The pivot O is at the center of the disk. The assembly is released from rest at the horizontal position shown. Find the angular velocity of t assembly when it rotates 90° down to the vertical position. he Ans : 4.32 rad/s A B 3. Two blocks A ( m A =2 Kg) and B ( m B = 1 Kg) are connected by a cord that passes over a pulley as shown. The pulley is a disk pivoted at the center with radius R = 0.1 m. If block A is falling with an acceleration of
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