Question

Consider the following two statements A and B, and identify the correct choice in the given answer
A. For a body resting on a rough horizontal table, it is easier to pull at an angle than push at the same angle to cause motion.
B. A body sliding down a rough inclined plane of inclination equal to angle of friction has non-zero acceleration.

• A. Both A & B are true
• B. A is true but B is false
• C. A is false but B is true
• D. Both A & B are false

Answer 1

Answer: (B)

A is true but B is false

A is true as when we push a body at some angle, then one component of force increases the normal force which in turn increases the frictional force.

B is false because in inclination, when body slides, the normal force is $\cos \theta$ times weight and the component of weight along inclined plane is is $\sin \theta$ times weight. Also by angle of friction, $\mu =tan\theta$

So the friction force and the weight component along inclined plane will be balanced. So body would have zero acceleration.

So, the correct option is B.