A block with a weight of 118 N is held against the veiling by a force F=160 N ac

Question

A block with a weight of 118 N is held against the veiling by a force F=160 N acting at an angle of 15 degrees from the vertical, as shown in the diagram. The block is a motion (sliding along the ceiling), and the coefficient of kinetic friction is 0.20. (a) Sketch a force diagram for the block, (b) Write out newtons 2nd law for the horizontal and vertical directions (c) determine whether the block is accelerating, justifying in your answer. Explain your reasonining starting from fundamental physics principles and definitions.

Explanation / Answer

BY THE LAW OF FRICTION

F/R=kinetic friction coefficient

the force mg is resolved as

1)mg cos theta perpendicular

R=mg cos theta

2)mg sin theta parallel to plane

resultant force=mg sin theta-coefficient of kinetic friction*R

a=F/m

a=g(sin 15-0.20 cos 15)

a=0.643027m/sec2

c)block accelerates as a is positive

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