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A block of mass 3.00 kg is pushed up against a wall be a force that...

A block of mass 3.00 kg is pushed up against a wall be a force that makes an angle of 50° with the horizontal. The coefficient of static friction between the wall and the block is 0.25. (a) What is the force required to keep the block from falling? (b) What is the maximum force that can be applied before the block slides upward?

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Answer #1

(a)

the force required to keep the block from falling is the minimum force

the force of friction and weight must be opposite.

mg - f = psin

mg - uspcos = psin

p = mg / ( sin + us cos )

p = 3 * 9.8 / ( sin 50 + 0.25 * cos 50)

p = 31.7 N

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(b)

maximum force is when both friction and weight are in same direction

mg + uspcos = psin

p = mg / ( sin - us cos )

p = 3 * 9.8 / ( sin 50 - 0.25 * cos 50)

p = 48.6 N

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