Wedge and blocks

In the above picture block A is moving left with velocity 1 ms 1 1\text{ ms}^{-1} and the wedge (equilateral triangle) is moving right with velocity 1 ms 1 1\text{ ms}^{-1} . Find the speed of block B (with respect to ground).


The answer is 1.732.

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1 solution

Kushal Patankar
Oct 6, 2016

Block B moves up on the wedge with velocity 2m/s, and also since the wedge too is moving we add both velocity vectors to find the net velocity. The horizontal components cancel out and block moves straight up with velocity 3 \sqrt{3} m/s.

@Kushal Patankar Could you please tell how you arrived at the constrained relation, giving the velocity = 2m/s?

Swapnil Das - 4 years, 3 months ago

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A is moving away from wedge with 2m/s and is pulling B with the same velocity. If not so then length of taut string will not be same.

Kushal Patankar - 4 years, 3 months ago

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Agree, thanks!

Swapnil Das - 4 years, 3 months ago

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