Supplemental Problem Set 11

Supplemental Problem Set 11 - Problem 4 The mass m = 2 slug...

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1 ME240 Fall 2008 Supplemental Problem Set 11 (not graded) Problem 1: The disk rotates in the horizontal plane with constant angular velocity Ω = 12 rad/s. The mass m = 2kg slides in a smooth slot in the disk and is attached to a spring with constant k = 860 N/m. The radial position of the mass when the spring is unstretched is r = 0.2 m. At t = 0, the mass is in the position r = 0.4 m and dr/dt = 0. Determine the position r as a function of time. Problem 2: The mass m = 2kg, the spring constant k = 8 N/m, and the damping coefficient is c = 12 N-s/m. The spring is unstretched when x = 0. At t= 0, the mass is released from rest with x = 0. Determine the value of x at t = 2 s.
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2 Problem 3: The spring constant is k = 800 N/m, and the spring is unstretched when x = 0. The damping constant is c = 250 N-s/m. The mass of each object is 30 kg. The inclined surface is smooth. The radius of the pulley is 120 mm and its moment of inertia is I = 0.03 kg-m 2 . At t= 0, x = 0, and and dx/dt = 1m/s. What is the value of x at t = 2s.
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Unformatted text preview: Problem 4: The mass m = 2 slug and the spring constant is k = 72 lb/ft. The spring is unstretched when x = 0. At t= 0, x = 1 ft, dx/dt = 1 ft/s, and the force F(t) = 10sin 4t + 10cos 4t lb is applied to the mass. What is the position of the mass at t = 2s? 3 Problem 5: The stepped disk weighs 20 lb and its moment of inertia is I = 0.6 slug-ft 2 . It rolls on the horizontal surface. The disk is initially stationary with the spring unstretched, and t = 0 a constant force F = 10 lb is applied as shown. Determine the position of the center of the disk as a function of time. Problem 6: The frequency of the spring-mass oscillator is measured and determined to be 4.00 Hz. The oscillator is then placed in a barrel of oil, and its frequency is determined to be 3.80 Hz. If the mass is displaced 0.1 m to the right of its equilibrium position and released from rest, what is its position relative to the equilibrium position as a function of time? *Problems from Bedford & Fowler...
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This note was uploaded on 04/08/2010 for the course MECHENG 240 taught by Professor Perkins during the Fall '09 term at University of Michigan.

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Supplemental Problem Set 11 - Problem 4 The mass m = 2 slug...

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