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# written4 - Homework 4 Due February 6 2007 1 Consider the...

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Homework 4 Due February 6 2007 1) Consider the system depicted in Figure 4.1. A block of mass m is resting on a wedge of mass M and angle θ . The wedge is in turn resting on an incline of angle θ as shown so that the surface on which the block rests is level. Initially the block and wedge are at rest. a) Assume that there is no friction between the block and wedge and likewise no friction between the wedge and incline. Draw free body diagrams for the block and the wedge. b) Write down Newton’s 2 nd law for each of the objects in the system. c) What is the acceleration of the block and the wedge? d) Describe the subsequent vertical and horizontal motion of the block. e) Now suppose that there is static friction with coefficient µ s between the block and the wedge. For what range of values for µ s will the block remain locked to the wedge, draw an appropriate free body diagram. The wedge still has no friction with the incline. 2) Box A, of mass 2.0 kg, is suspended as shown in the figure. Determine the mass of object B if the system is in equilibrium. Incline θ Block: Mass=m Wedge: Mass=M θ A B 35 ° 35 °

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Homework 4 Due February 6 2007 Solution 1a) Let N WB be the normal force of the wedge on the block and N BW be the normal force of the block on the wedge. These are equal in magnitude since they are a 3
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written4 - Homework 4 Due February 6 2007 1 Consider the...

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