In the given figure, find the displacement of the block A in the x-axis in the time interval of 3s (String is massless and inextensible)
A
8m
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B
10m
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C
12m
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D
9m
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Solution
The correct option is C12m Due to inextensible nature of string, the end points should have same velocity along the sring Thus, the velocity of block A i.e. VA along the string is equal to the velocity of the block B along the string.
So, from the given figure above ⇒VA=VB=5m/s ∴ the velocity of block A along x-axis is VAx=5cos37∘=4m/s Hence, displacement in x-axis is VAx×t⇒4×3=12m