Consider a uniform rod of mass and length pivoted about its centre

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Energy and Momentum of Rotating Systems · Energy and Momentum of Rotating Systems

Problem

Consider a uniform rod of mass

M=4m

and length

l

pivoted about its centre. A mass

m

moving with velocity

v

making angle

\theta = \frac{\pi}{4}

to the rod's long axis collides with one end of the rod and sticks to it. The angular speed of the rod-mass system just after the collision is: (1)

\frac{3}{7\sqrt{2}}\frac{v}{l}

(2)

\frac{3}{7}\frac{v}{l}

(3)

\frac{3\sqrt{2}}{7}\frac{v}{l}

(4)

\frac{4}{7}\frac{v}{l}