A chain of length l is placed on a smooth spherical surface of radius r with one of its ends fixed at the top of the surface. Length of chain is assumed to be l< π π r/2. Acceleration of each element of chain when upper end is released is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
B
Let mass per unit length of chain = 
Consider an element of chain of length dl subtending an angle of d θ θ at the centre of spherical surface.
Mass of element dm = 
Force acting on element, dF = dmg sin θ θ
= 
rg sin θ θ d θ θ
∴ ∴ F = 
= 
= 
Then a = 
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
A boy sitting on the topmost berth in the compartment of a train which is just going to stop on a r…
Newton's first law of motion describes the following
A person sitting in an open car moving at constant velocity throws a ball vertically up into air. T…
A bird weighs 2 kg and is inside a closed cage of 1 kg. If it starts flying, then what is the weigh…
A particle is moving with a constant speed along a straight-line path. A force is not required to
A mass of 1 kg is suspended by a string A. Another string C is connected to its lower end (see figu…