Exam 3 FS2012

# 3pointsinwhatdirectionwilleachyoyorotatedrawanarrowtoi

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Unformatted text preview: m/s2. Find the tension force in the cable and the perpendicular and parallel forces applied by the wall to the pole. m 3 7. A uniform rod of length L = 1.2 m and mass M = 0.5 kg is free to rotate on a frictionless pin through one end. The rodis released from rest in the horizontal position. The moment of inertia for the rod with respect to the pivot point is ML2/3. a) What is the angular speed of the rod at its lowest position? (5 points) b) When passing through the vertical position, the lower end of the rod hits a stationary piece of clay of mass m = 0.2 kg that sticks to it. What is the angular speed of the rod + clay system immediately after collision? (5 points) 4 8. A primitive yo‐yo is made by wrapping a string several times around a solid cylinder with mass M = 200 g and radius R = 10 cm. You hold the end of the string stationary while releasing the cylinder with no initial velocity. The string unwinds but does not slip or stretch as the cylinder drops and rotates. In all calculations take g = 10 m/s2. The moment of inertia for a cylinder is MR2/2. a) Find the tension in the string and the acceleration of the cylinder. (6 points) b) Find the speed of the center of mass of the cylinder after it has dropped a distance h = 1.2 m. (6 points) P1‐5 10/ P6 14/ P7 14/ P8 12/ Total 50/ 5 6...
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