A chain of length

The gravitational potential energy of the chain is The chain is released and slides down the sphere The tangential acceleration of the chain is Given

The length of the chain is l, mass of the chain is m, and the radius of the sphere is given as R.

Formula Used

The formula for the total energy in terms of kinetic and potential energy is given as where

The is the total energy in terms of kinetic and potential energy, m is the mass of the object, g is the acceleration in terms of gravity and l is the length of the object, is the angle of exit.

Explanation

(a) Let the angle formed by the chain is = The length of the chain = Therefore, the angle is written as The length of the chain in terms of radius is The force derivative of the chain is given as The potential energy is calculated as The P.E. after integration is (b) The kinetic energy and the potential energy of the chain is equivalent to The initial potential energy is calculated as The change in the potential energy is .

(c) Now to find the tangential velocity we use the equation of After reduction the value of the is Rate this question :

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