Q.
A uniform rod of length L and mass M is lying on a frictionless horizontal plane and is pivoted at one of its ends as shown in figure. There is no friction at the pivot. An inelastic ball of mass m is fixed with the rod at a distance L/3 from O. A horizontal impulse J is given to the rod at a distance 2L/3 from O in a direction perpendicular to the rod. Assume that the ball remains in contact with the rod after the collision and impulse J acts for a small time interval ΔtNow answer the following questions: Find the resulting instantaneous angular velocity of the rod after the impulse.Find the impulse acted on the ball during the time interval Δt.Find the magnitude of the impulse applied by the pivot during the time interval Δt.
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a
3J(m+3M)L
b
6J(m+3M)L
c
3J(3m+M)L
d
6J(3m+M)L
e
2MJ(3m+M)
f
2MJ(m+3M)
g
2m⋅J(3m+M)
h
2mJ(m+3M)
i
mJ(m+3M)
j
mJ(3m+M)
k
MJ(m+3M)
l
MJ(3m+M)
answer is