Homework%208

Homework%208 - University of California, San Diego,...

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University of California, San Diego, Department of Bioengineering BE 109: Statics and dynamics Issued: 03/09/06 Homework Set 8 Due: 03/16/06 Problem 1. A rectangular plate of mass 8 kg is attached to a shaft as shown. Knowing that the plate has an angular velocity of constant magnitude ω = 5 rad/s, determine the angular momentum H G of the plate about its mass center G. Problem 2. A thin homogeneous square plate of mass m and side a is welded to a vertical shaft AB with which it forms an angel of 45 ° . Knowing that the shaft rotates with a constant angular velocity ω , determine the angular momentum H A of the plate about point A.

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Problem 3. One of the sculptures displayed on a university campus consists of a hollow cube made of six aluminum sheets, each 1.5 X 1.5 m, welded together and reinforced with internal braces of negligible mass. The cube is mounted on a fixed base A and can rotate freely about its vertical diagonal AB. As she passes by this display on the way to a class in mechanics, an engineering
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This note was uploaded on 04/23/2008 for the course BENG 109 taught by Professor Ping during the Winter '06 term at UCSD.

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Homework%208 - University of California, San Diego,...

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