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Q.

An impulse I is applied at the end of a uniform rod if mass m. then :

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a

KE of translation of the rod isl22m

b

KE of rotation of the rod is 3l22m

c

KE of the rod is  2l2m

d

all of these

answer is D.

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Detailed Solution

from conxervation of linear momentum the rod also has the same linear momentum I and kinetic of transtion is l22m from coservation of angular momentum L= Il=ml23ω ω=3Iml;  rotational kinetic energy 12Lω= 12 I l3Iml=3I22m
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An impulse I is applied at the end of a uniform rod if mass m. then :