1) If the wall were frictionless, what magnitude of P would be needed to keep th

Question

1) If the wall were frictionless, what magnitude of P would be needed to keep the book from slipping down the wall?

2)What is the magnitude of the normal force between the book and the wall if P = 185 N ?

3) What is the force of friction on the book if P = 185 N ?

4) What is it maximum force P that can be applied before the book slips?

A 10.2 kg chemistry book is pressed against a vertical wall by an applied force ? that makes an angle of theta = 62 degree with the horizontal. The coefficient of static friction between the book and the surface of the wall is 0.51. Use positive as up.

Explanation / Answer

1)

vertical component of P = Psin(theta)

this must balance weight of the book

Psin(theta) = mg

P = 113.21 N

2)

normal force = Pcos(62) = 86.85 N

3)

friction = uN = .51*86.85 = 44.3 N

4)

.51*Pcos(62) = Psin(62) - mg

P = 155.33 N

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