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Explain with the help of given problem of block string motion as to which component of velocity should be resolved in such cases. Why?Methods I am confused between :-Let velocity of string is \"u\". Let velocity of block is \"v\" in upwards direction.Method-1Component of velocity of string on each side of block in the direction of motion of block be \"u cos(theta) \".Net summation of components of velocity in direction of motion of block = 2u cos(theta) i.e. { u cos(theta) by both left and right part of string}Ans. v = 2u cos(theta)Method -2Component of velocity of block in the direction of string be \"v cos(theta) \".This implies that u = v cos(theta) .Ans. v = u/( cos(theta))Which of the above methods is correct? Please provide detailed analysis on the concept involved.

Rohan Sachan , 7 Years ago
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Amrit Raj

Last Activity: 7 Years ago

First and most important point to be noted in the problems of constraint motion is that velocity of every object is considered along the string .So the assumption that the component of velocity of string in the direction of object of mass ‘M’ is wrong.So your first approach is not coorrect .
While your second method of solving the problem is correct in which the velocity of mass ‘M’ along the either section of the string is assumed thus got the correct result of and the relation becomes v=u/cos(theta).
 

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