A block rests on a rough inclined plane

PHYSICS · Single correct · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A 2.0 kg2.0\,\text{kg} block rests on a rough inclined plane. A vertical downward force of 10 N10\,\text{N} is applied to the top of the block (for example, by a spring-loaded plunger) without touching the plane. The block remains at rest until the plane is slowly tilted to an angle θ\theta. If the coefficient of static friction between the block and the plane is 0.450.45 and g=9.8 m/s2g=9.8\,\text{m/s}^2, which of the following is closest to the largest angle θ\theta for which the block can remain at rest? (a) 36∘36^{\circ} (b) 22∘22^{\circ} (c) 30∘30^{\circ} (d) 17∘17^{\circ}

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