Question

A smooth sphere of radius R and mass M is placed on the smooth horizontal floor. Another particle of mass m is placed on the sphere and a horizontal acceleration is given to the sphere as shown. If the particle does not slip on the sphere, then the pseudo force on the particle for a stationary observer on the sphere is –

• A. mg tan q
• B. mg cot q
• C. mg sin q
• D. mg cosq

Answer 1

Answer: (B)

mg cot q

Answer 2

N sin q = mg and N cos q = ma

a = g cot q

Hence pseudo force is mg cot q.