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EMch112-midterm3sp04

# EMch112-midterm3sp04 - 3[2 The uniform disk of mass m and...

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1 The Pennsylvania State University Department of Engineering Science and Mechanics SPRING 2004 E. Mch. 212 Third Midterm Exam. Date : Wednesday 04/14/2004 Time : 6:30 p.m. – 7:45 p.m. Name : _________________________________________ SS# : ____________ Answer all questions If needed take g as 9.81 m/s 2 or 32.2 ft/s 2

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2 [1] The wheel, shown in the figure below, has a radius of 8 in., and it rolls without slipping on a horizontal surface. At the instant shown in the figure, the center of the wheel O is moving with a speed of 32 in/s and an acceleration of 48 in/s 2 , both to the right. (i) Find the angular velocity and angular acceleration of the wheel. (10 points) (ii) At this same instant, find the velocity and acceleration of point P shown on the rim of the disk. (20 points) (30 points ) 120° P O ! , " 8 in.

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Unformatted text preview: 3 [2] The uniform disk of mass m and radius R is attached to a spring of stiffness k . If the disk is released from rest with the spring undeformed, determine the expression for the maximum angular velocity of the disk. Assume that the disk rolls without slipping on the inclined surface. (In a disk rolls without slipping the center has velocity and acceleration of magnitudes R ω and R α , respectively) (35 points ) k R 30° 4 [3] The homogeneous bar AB of mass m and length L is released from rest in the position θ = o . (a) Determine the angular acceleration and angular velocity of the bar as functions of , m , and L . (b) Find the maximum value of the vertical component of the pin reaction at A and the value of at which it occurs. (35 points ) L m A θ...
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• Fall '08
• KUZMAR,AIMANSAID
• Angular velocity, Velocity, 30°, 120°, 32.2 ft, Pennsylvania State University Department of Engineering Science and Mechanics

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EMch112-midterm3sp04 - 3[2 The uniform disk of mass m and...

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