Kinematics Question 158

Question: A frictionless wire Ab is fixed on a sphere of radius R. A very small spherical ball slips on this wire. The time taken by this ball to slip from A to b is

Options:

A) 2gRgcosθ

B) 2gR,

cosθ2

C) Rg2

D) gRgcosθ

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Acceleration of body along Ab is distance travelled in time t sec=AB= 12

(gcosθ)t2 From ΔABC , AB = 2Rcosθ;2Rcosθ=12gcosθt2
t2=4R8 or t=2Rg



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