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Pivoted rod - impulse applied so no horizontal force on pivot
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Apr3-12, 07:29 PM
1. The problem statement, all variables and given/known data
There is a rod of length L pivoted on one end. It is originally at rest horizontally then released. When vertical, an impulse is applied to bring the rod to rest.
Throughout the question I have worked out I = 1/3 mL^2
w= √(3g/L) at the vertical position and an impulse of m√(gL/3) is the minimum required to achieve bringing the rod to rest.
I am attempting to find the impulse and distance from the pivot so that no horizontal force is exerted at the pivot.
2. Relevant equations
G = I dw/dt
Angular impulse J = r x (Impulse) = change in angular momentum
Angular momentum L = Iw
3. The attempt at a solution
I have tried: impulse required = mv = mrw
=> m√(gL/3) = mr√(3g/L)
=> r = L/3
I am confused on how to find the impulse and its distance so that the horizontal force on the pivot is 0. Any help is much appreciated.
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