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soln14 - radius r is I=0.5mr 2 Solution Moment of inertia...

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ME3104 Dynamics and Control I Semester 1, 2008/09 Sample Solutions for Test 2 Q1: A 30-kg uniform thin panel is placed in a truck with end A resting on a rough horizontal surface and end B supported by a smooth vertical surface. Knowing that the panel remains in the position shown, determine ( a ) the maximum allowable acceleration of the truck, ( b ) the corresponding minimum required coefficient of static friction at point A. Solution: August 2000
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Q2 Two uniform disks of the same material are attached to a shaft as shown. Disk A has a weight of 4.5 kg and a radius r = 15.2 cm. Disk B is twice as thick as disk A . Knowing that a couple M of magnitude 30 is applied to disk A when the system is at rest, determine the radius nr of disk B if the angular velocity of the system is to be 480 rpm after 5 revolutions. Hint : Moment of inertia for a disk with mass m and
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Unformatted text preview: radius r is I=0.5mr 2 Solution: Moment of inertia: Work: Kinetic energy: Principle of work and energy: Solving for I: Equating the two expressions of I: August 2000 Q3 A 9 kg block is initially held so that the vertical spring attached as shown is undeformed. Knowing that the block is suddenly released from rest, determine ( a ) the amplitude and frequency of the resulting motion, ( b ) the maximum velocity and maximum acceleration of the block. Solution: August 2000 Q4 A gear reduction system consists of three gears A , B , and C . Knowing that gear A rotates clockwise with a constant angular velocity ω A = 600 rpm, determine ( a ) the angular velocities of gears B and C , ( b ) the accelerations of the points on gears B and C which are in contact. Solution: August 2000...
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soln14 - radius r is I=0.5mr 2 Solution Moment of inertia...

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