Problem $3(25)$:

The small spheres with masses $m$ and $2$ m initially move without friction with initial velocities shown in the figure. The spheres strike and become attached to the spiked ends of the massless rod, which is freely pivoted at O and is initially at rest.

a$)(15)$ Determine the angular velocity $$ of the assembly after impact.

$($b$)(10)$ After the impact, the system is moving with angular velocity $.$ Kinetic friction with coefficient ${}_k$ is now acting on the spheres. Determine the time required for the system to stop after the impact.

$(a)H_{0_1}+S_{c_1}^{t_2}{M}_{0dt}=H_{O_2}$

$H_0=rmv$

$*L*v$

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