Kinematics Question 188

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.cosθg

C) 2Rg

D) gRgcosθ

Show Answer

Answer:

Correct Answer: C

Solution:

Acceleration of body along AB it’s gcosθ distance travelled in time t sec = AB=12(gcosθ)t2 From ΔABC,AB=2Rcosθ; 2Rcosθ=12gcosθt2

therefore t2=4Rg or t=2Rg



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