In a game pf tug of war, a constant of equilibrium exsists.Both the teams pull the rope with a force of 10^4 N.Tension in the rope is? Also explain in detail.

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Solution

$D e a r s t u d e n t a n y p o i n t o n t h e r o p e i s n o t m o v i n g s o, n e t f o r c e o n a n y p o i n t o n t h e r o p e i s 0 c o n s i d e r o n e e n d o f t h e r o p e f o r c e = 10^{4} N s o, t e n s i o n a t t h i s p o i n t = 10^{4} N a s t h e r o p e i s n o t m o v i n g N o w, w e k n o w t h a t t e n s i o n i s s a m e t h r o u g h t t h e r o p e, s i, t e n s i o n i s 10^{4} N T a k e a n y p o i n t o n t h e r o p e, t e n s i o n w i l l b e a c t i n g i n b o t h d i r e c t i o n s a l o n g t h e r o p e a n d t h e y w i l l b e e q u a l i n m a g n i t u d e b e c a u s e t h e r o p e i s n o t m o v i n g, n e t f o r c e = 0 s o, T = 10^{4}$

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In the game of tug-of-war, the rope will _________ if the two teams pull at it with equal force.

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