Question
Question: A smooth sphere of radius R and mass M is placed on the smooth horizontal floor. Another smooth part...
A smooth sphere of radius R and mass M is placed on the smooth horizontal floor. Another smooth 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 = mg cotq
B
F = Mg cotq
C
F=(m + M)g cotq
D
F =(m + M)g tanq
Answer
F=(m + M)g cotq
Explanation
Solution
By F.B.D of m
N sinq = mg and N cosq = ma
\ tanq = טמ Ž a = g cotq
\ F = (m + M)g cot q