A uniform rod of mass $M = 2.51$ kg and length $L = 0.74$ m can rotate about a hinge at its left end and is initially at rest. A putty ball of mass $m = 35.2$ g, moving with speed $v = 4.04$ m/s, strikes the rod at angle $\theta = 35.2^\circ$ from the normal at a distance $D = \frac{2}{3}L$ from the point of rotation, and it sticks to the rod after the collision.
Part (a)
What is the initial angular momentum of the ball, in joule seconds, right before the collision relative to the pivot point of the rod?
$L_i = 0.03450$ J $\cdot$ s
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Part (b)
What is the total moment of inertia, $I_f$, with respect to the hinge, of the rod-ball-system after the collision?
$I_f = 0.469$ kg $\cdot$ m$^2$
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Part (c)
What is the angular speed, in radians per second, of the system immediately after the collision?
$\omega_f = $ [ ] rad/s
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