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In the figure below the block moves downwards with velocity v1 the wedge moves rightwards with velocity v2 the correct relation between them

In the figure below the block moves downwards with velocity v1 the wedge moves rightwards with velocity v2 the correct relation between them

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Grade:11

4 Answers

Eshan
askIITians Faculty 2095 Points
5 years ago
Dear student,

Since the speed of all points on the string must be equal, the speed with which the length of string is decreasing horizontally will be equal to the speed with which the length will increase vertically.
Hencev_1=v_2
manan
10 Points
5 years ago
But the answer of this question is d)
Your answer is v1=v2 . You are also saying correct but the actual ans of this question is d) . So now pls tell the correct solution
Eshan
askIITians Faculty 2095 Points
5 years ago
Dear student,

Apologies to not notice earlier that the length of thread between the two pulleys shown is also variable. So, we cannot directly say that the speeds of both will be same. We will have to use the method of constraint relations as given below-


568-1900_123.png
manan
10 Points
5 years ago
Is there any other method by which we can solve this question .. By virtual work technique ? Because this method is a bit a lenghty and consumes a lot of time so a lot of time will be wasted on it . So is there any shortcut to solve this question instead of this method

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