A bar of mass ' m ' length 'l' is in pure translatory motion with its centre velocity 'v'. It collides with another identical bar which is in rest and sticks to it. Assume that after the collision it becomes one system, then the angular velocity of the system after the collision is

Question

A bar of mass ' m ' length 'l' is in pure translatory motion with its centre velocity 'v'. It collides with another identical bar which is in rest and sticks to it. Assume that after the collision it becomes one system, then the angular velocity of the system after the collision is (A) (1/5) (v/l) (B) (2/5) (v/l) (C) (3/5) (v/5) (D) (v/l)

Tardigrade Admin · Accepted Answer

Conservation of angular momentum of combined system about centre of mass of the system <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/0be57248399cc7e59a39fb800a98a67d-.png" /> m g (ℓ/4)=Ic o m ω=(10/24) m ℓ2 ω ⇒ ω=(3/5) (v/ℓ)

Q. A bar of mass ' $m$ ' length 'l' is in pure translatory motion with its centre velocity 'v'. It collides with another identical bar which is in rest and sticks to it. Assume that after the collision it becomes one system, then the angular velocity of the system after the collision is

$\frac{1}{5} \frac{v}{l}$

$\frac{2}{5} \frac{v}{l}$

$\frac{3}{5} \frac{v}{5}$

$\frac{v}{l}$

Conservation of angular momentum of combined system about centre of mass of the system

$m g \frac{ℓ}{4} = I_{co m} ω = \frac{10}{24} m ℓ^{2} ω$
$\Rightarrow ω = \frac{3}{5} \frac{v}{ℓ}$

Q. A bar of mass ' m ' length 'l' is in pure translatory motion with its centre velocity 'v'. It collides with another identical bar which is in rest and sticks to it. Assume that after the collision it becomes one system, then the angular velocity of the system after the collision is

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