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Dynamics Midterm2 - 2010

Dynamics Midterm2 - 2010 - blocks which are constrained to...

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ME 324 – Spring 2010 Dynamics of Mechanical Systems Midterm #2 Tuesday, April 6, 6:30 – 8:30 PM Name: _____________________________ Discussion Section: ____________________ Instructions : 1) The exam is CLOSED book, apart from the class equation sheet. 2) Calculators are allowed. 3) Be very neat when writing up your solution and show ALL work. 4) A box must be drawn around the final answer. 5) Do NOT separate the pages of the exam. 6) The centroidal moment of inertia for a thin rod is 1/12 ml 2 . Problem Possible Received 1 25 2 25 3 20 Total _

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1) (25 Points) Rod AB rotates counterclockwise with a constant angular velocity ω = 3 rad/s. Determine the velocity and acceleration of point C located on the double collar when θ = 45 degrees. The collar consists of two pin-connected slider

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Unformatted text preview: blocks which are constrained to move along the circular path and the rod AB . Use this page to continue Problem 1. 2) (25 points) The ladder has a mass m and rests against the smooth wall and ground. Determine its angular acceleration as a function of θ only when it is released and allowed to slide downward. For the calculation, treat the ladder as a slender rod. Use this page to continue Problem 2. 3) (20 points) The 50-lb wheel has a radius of gyration about its center of gravity G of k G = 0.7 ft. If it rolls without slipping, determine its angular velocity when it has rotated clockwise 90 degrees from the position shown. The spring AB has a stiffness k = 1.20 lb/ft and an unstretched length of 0.5 ft. The wheel is released from rest....
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Dynamics Midterm2 - 2010 - blocks which are constrained to...

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