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A block rests on a rough inclined plan...

A block rests on a rough inclined plane as shown in Fig. 7.93 . A horizontal force is applied to it . (a) Find out the force of reaction .
(b) Can the force of friction be zero ? If yes , when ? (c) Assuming that , friction is not zero , find it magnitude and the direction of its limiting value .

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The correct Answer is:
(a) R = mg cos `theta` + F sin `theta`
(b) Yes , if mg sin `theta` = F cos `theta` ,
(c) f = `mu` R = `mu ` ( mg cos theta + F sin `theta`) ; up the plane if the body has tendency to slide down and down the plane if the body has tendency to move up .


(a) `N = "mg cos" theta + F "sin" theta`
(c) f = `mu N`
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