Cam mechanisms are used in many machines. For example, cams openand close the valves in your car engine to admit gasoline vapor toeach cylinder and to allow the escape of exhaust. The principle isillustrated in Figure P5.66, showing a follower rod (also called apushrod) of mass m resting on a wedge of mass M. The sliding wedgeduplicates the function of a rotating eccentric disk on a camshaftin your car.. Assume that there is no friction between the wedgeand the base, between the pushrod and the wedge, or between the rodand the guide through which it slides. When the wedge is pushed tothe left by the force vector F , the rod moves upward and doessomething such as opening a valve. By varying the shape of thewedge, the motion of the follower rod could be made quite complex,but assume that the wedge makes a constant angle of ? = 11.0°.Suppose you want the wedge and the rod to start from rest and movewith constant acceleration, with the rod moving upward 1.00 mm in8.00 ms. Take m = 0.250 kg and M = 0.700 kg. What force F must beapplied to the wedge?
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