A block of mass rests on a smooth plane inclined at to the horizontal

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A block of mass 5 kg5\,\text{kg} rests on a smooth plane inclined at 30∘30^{\circ} to the horizontal. It is kept in equilibrium by a horizontal force FF acting on the block. (i) Draw a free-body diagram for the block indicating all forces. (ii) Determine the magnitude and direction of FF. (iii) Hence obtain the value of the normal reaction exerted by the plane on the block.

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