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Chapter 8 Rotational Equilibrium and Dynamics
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Objectives Explain how machines make work easier.
Calculate mechanical advantage of machines.
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Simple Machines A machine is any device that transmits or modifies force Six types of simple machines: Lever Pulley Wheel and Axle Wedge Inclined Plane Screw
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Simple Machines
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Mechanical advantage (MA)
The ratio of the output force relative to the input force of a machine Machines can alter the force and the distance moved
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Mechanical Advantage (MA)
Output Force Fout = = Input Force Fin MA
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Efficiency (eff) A measure of how well a machine works
Work Output Wout = = Work Input Win eff
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Efficiency (eff) Efficiency of an ideal machine (no energy lost to friction) is 1 or 100% efficient Efficiency of real machines is always less than 1
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A person lifts a 850 N box by pushing it up an incline
A person lifts a 850 N box by pushing it up an incline. If the person exerts a force of 325 N along the incline, what is the mechanical advantage of the incline?
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The efficiency of a squeaky pulley system is 0. 85, or 85%
The efficiency of a squeaky pulley system is 0.85, or 85%. What force is exerted on the machine if a rope is pulled 18.0 m in order to raise a 60. kg mass a height of 3.5 m?
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