Exam_1 - vm240 Introduction to Dynamics and Vibrations...

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vm240 Introduction to Dynamics and Vibrations Summer 2008 Exam # 1 May 20, 2008 Total Points = 100 1. (50 points) To manufacture sheets of nancomposite, students in ME450 designed a “spin grower” in which the nancomposite is deposited onto a spinning turntable and is distributed due to the kinetics of the spinning table. Consider a small drop of nanocomposite, of mass m , deposited onto the table, which is oriented horizontally (gravity acts downward), as sketched below. The drop is deposited a distance L from the center of the turntable. The turntable starts at rest and is given a constant angular acceleration, ¨ θ = α . The coefficient of static friction, between the nanocomposite drop and the turntable, is given by μ . a. Given the above data, and assuming that the nanocomposite does not slide on the turntable, derive an expression for the acceleration vector of the nanocomposite drop, with respect to a fixed inertial frame, as a function of time, t . b. Given the above data, and assuming that the nanocomposite does not slide on the
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This note was uploaded on 10/23/2009 for the course MECHENG me 240 taught by Professor Hulbert during the Fall '09 term at University of Michigan.

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Exam_1 - vm240 Introduction to Dynamics and Vibrations...

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