be109%20hw07

be109%20hw07 - Problem 3. A slender 6-kg rod can rotate in...

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University of California, San Diego, Department of Bioengineering BE 109: Statics and dynamics Issued: 03/2/06 (Thursday) Homework Set 7 Due: 03/09/06 (Thursday) Problem 1. The double pulley shown has a mass of 14 kg and a centroidal radius of gyration of 165mm. Cylinder A and block B are attached to cords that are wrapped don the pulleys as shown. The coefficient of kinetic friction between block B and the surface is 0.25. Knowing that the system is released from rest in the position shown, determine: a) the velocity of cylinder A as it strikes the ground b) the total distance that block B moves before coming to rest Problem 2. The 200-mm-radius brake drum is attached to a larger flywheel that is not shown. The total mass moment of inertia of the flywheel and drum is 19 kg*m 2 and the coefficient of kinetic friction between the drum and the brake shoe is 0.35. Knowing that the initial angular velocity of the flywheel is 360 rpm counterclockwise, determine the vertical force P that must be applied to the pedal C if the system is to stop in 100 revolutions.
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Unformatted text preview: Problem 3. A slender 6-kg rod can rotate in a vertical plane about a pivot at B. A spring of constant k=600 N/m and an unstretched length of 225 mm is attached to the rod as shown. Knowing that the rod is released from rest in the position shown, determine its angular velocity after it has rotated through 90°. Problem 4. A half-cylinder of mass m and radius r is released from rest in the position shown. Knowing that the half-cylinder rolls without sliding, determine: a) its angular velocity after it has rolled through 90°. b) the reaction at the horizontal surface at the same instant [Hint: Note that GO = 4 r /3 π and that, by the parallel-axis theorem, Ī = ½ mr 2 – m (GO) 2 .] Problem 5. The motion of the uniform slender 2.4-kg rod AB is guided at A and C by collars of negligible mass. The system is released from rest in the position θ =30°. Knowing that the magnitude of the force P applied to collar A is 10 N, determine the angular velocity of rod AB when θ = 45°....
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This note was uploaded on 04/23/2008 for the course BENG 109 taught by Professor Ping during the Winter '06 term at UCSD.

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be109%20hw07 - Problem 3. A slender 6-kg rod can rotate in...

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