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# HW_10 - P112 Spring 2007 Homework#10 Due Monday April 9th...

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P112 Spring 2007 Homework #10 Due: Monday April 9th, 2007 – At lecture Reading: 9.1-9.4, 10.1-10.5 Not all concepts will be covered in class – you are responsible for all material in the reading and in the homework problems. With the exception of Q1 which discusses torques, all of the material on this HW will be covered on Prelim II!! Warm-up Exercises: (Answer only will be marked) 1. See Figure 10.41 in your Text Book. Forces F 1 = 7.5 N and F 2 = 5.3 N are applied tangentially to a wheel with radius 0.330 m as shown in the Figure. What is the net torque on the wheel due to these two forces for an axis perpendicular to the wheel and passing through its center? 2. A flywheel with a radius of of 0.3 m starts from rest and accelerates with a constant angular acceleration of 0.6 rad/s 2 . Compute the magnitude of the tangential acceleration, the radial acceleration and the resultant acceleration of a point on its rim a) at the start, b) after it has turned through 60.0 0 , c) after it has turned through 120.0 0 . 3. Illustrated below is a flat square plate of mass M, with sides of length R. When rotated about its center of mass [shown as an “x”], it has a moment of inertia I COM =MR 2 /6. What is its moment of inertia when rotated about the corner marked with a circle? Mathematics Exercises: 4 . Two vectors, A and B , lie in the x-y-plane. Both have length 2. Vector A points along the x-axis. Vector B points in a direction 140 0 counterclockwise from the x-axis when viewed from a point in the positive z-direction. What is the direction and

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