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Many machines employ cams for various purposes, such as opening and closing valves. In the figure, the cam is a circular disk of radius R with a hole of diameter R cut through it. As shown in the figure, the hole does not pass through the center of the disk. The cam with the hole cut out has a mass M. The cam is mounted on a uniform, solid, cylindrical shaft of diameter R and also of M. What is the kinetic energy of the cam-shaft combination when it is rotating with angular speed ω about the shaft's axis?

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Coleen Amado
Coleen AmadoLv10
7 Dec 2020

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Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A cam of mass M is in the shape of a circular disk of diameter 2 R with an off-center circular hole of diameter R is mounted on a uniform cylindrical shaft whose diameter matches that of the hole (Fig. P1 3.78). a. What is the rotational inertia of the cam and shaft around the axis of the shaft? b. What is the rotational kinetic energy of the cam and shaft if the system rotates with angular speed ω around this axis?

 

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?

___N

http://www.webassign.net/serpop/p4-50.gif

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?
_____N

http://www.webassign.net/serpop/p4-50.gif

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