A uniform chain has a mass ‘m’ and length ‘L’. it is placed on a frictionless table with length ‘l’ hanging over the edge. The chain begins to slide down. Give the speed ‘v’ with which the chain slides away from edge.

Question

Arun · Answer

Dear student c h o o sin g z e r o p o t e n t i a l e n e r g y a t t h e h o r i z o n t a l l e v e l t o b e z e r o . I n i t i a l p o t e n t i a l o f t h e s t r i n g i s U i = − m g h c e n t r e o f m a s s o f t h e s t r i n g = − M L l o g l o 2 = − M g l 0 2 2 L P o t e n t i a l e n e r g y w h e n t h e s t r i n g i s a b o u t t o l e a v e = − M g L 2 K i n e t i c e n e r g y w i t h w h i c h i t l e a e s t h e t a b l e K = 1 2 M v 2 1 2 M v 2 − M g L 2 = − M g l o 2 2 L v 2 − g L = − g l o 2 L v = g ( L − l 2 o L ) − − − − − − − − − √ v = g L ( L 2 − l 2 0

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A uniform chain has a mass ‘m’ and length ‘L’. it is placed on a frictionless table with length ‘l’ hanging over the edge. The chain begins to slide down. Give the speed ‘v’ with which the chain slides away from edge.

A uniform chain has a mass ‘m’ and length ‘L’. it is placed on a frictionless table with length ‘l’ hanging over the edge. The chain begins to slide down. Give the speed ‘v’ with which the chain slides away from edge.

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A uniform chain has a mass ‘m’ and length ‘L’. it is placed on a frictionless table with length ‘l’ hanging over the edge. The chain begins to slide down. Give the speed ‘v’ with which the chain slides away from edge.

A uniform chain has a mass ‘m’ and length ‘L’. it is placed on a frictionless table with length ‘l’ hanging over the edge. The chain begins to slide down. Give the speed ‘v’ with which the chain slides away from edge.

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