A uniform rod of length l is pivoted at point A. It is struck by a horizontal force which delivers an impulse J at a distance x from point A as shown in the figure, impulse delivered by pivot is zero if x is equal to
A
l/3
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B
3l/4
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C
l/2
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D
2l/3
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Solution
The correct option is D2l/3 Draw a diagram of given problem.
Calculate x for rod.
Impulse = change in momentum. J=mv(i)
Where, v is linear speed of center of mass of rod.
Similarly, J⋅x=Iω=ml23ω(ii) v=l2ω(iii)
Solving all three above equations, we get x=23l