Home Physics Newton's Laws of Motion First Law of Motion A smooth sphere of radius R and M is placed …
Physics Newton's Laws of Motion First Law of Motion MCQ (Single Correct)

A smooth sphere of radius R and M is placed on the smooth horizontal floor. Another particle of mass m is placed on the sphere and a horizontal force F is applied on the sphere as shown. If the particle does not slip on the sphere, then the value of force F is –

A
F = (m + M) g cot θ
B
F = Mg cot θ
C
F = (m + M) g tan θ
D
None of these

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Text Solution

Verified by Experts
The correct answer is:
A

N sin θ = mg and N cos θ = ma

∴ tan θ = ⇒ a = g cot θ

Hence, F = (m + M) g cot θ

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