A block of mass rests on a rough horizontal floor

PHYSICS · Multi-part · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A block of mass 10 kg10\,\text{kg} rests on a rough horizontal floor. It is pulled by a force of 100 N100\,\text{N} acting at 30∘30^{\circ} above the horizontal. The coefficients of friction between the block and the floor are μs=0.50\mu_{s}=0.50 and μk=0.40\mu_{k}=0.40. Take g=9.8 m s−2g=9.8\,\text{m s}^{-2}. (i) Calculate the normal reaction exerted by the floor on the block. (ii) Decide whether the block begins to move and support your answer with calculations. (iii) For the condition obtained in part (ii), determine the magnitude of the resultant contact force between the block and the floor and the angle it makes with the normal reaction.

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