Question

when carpet is beaten with a stick dust comes out of it explain

Answer 1

Its because the law of inertia of rest. The dust particle settle down on the carpet and don't move until a certain force is applied

Answer 2

when carpet is at stationary state then many dust particles stick to it and they remain for a longer time due to inertia. when external force like stick is exerted then the inertia lasts no longer and the dust particles come out.