Problem $5$: $(20\%$ of Assignment Value$)$

A rod of mass $M=137g$ and length $L=31cm$ can rotate about a hinge at its left end and is initially at rest. A putty ball of mass $m=18g,$ moving with speed $V=10\frac{m}{s},$ strikes the rod at angle $=24$ a distance $D=\frac{L}{2}$ from the end and sticks to the rod after the collision.

Part $($a$)$

What is the total moment of inertia, I, with respect to the hinge, of the rod$-$ball$-$system after the collision?

$I=\frac{M{L}^2}{3}+m{D}^2$

$$ Correct!

Part $($b$)$

Enter an expression for the angular speed $$ of the system immediately after the collision, in terms of $m,V,D,,$ and I.

$=$mVDcos$\frac{}{\text{I}}$

$$ Correct!

Part $($c$)$

Calculate the rotational kinetic energy, in joules, of the system after the collision.

$E_{\text{r}\text{o}\text{t}}=$

Grade Summary

Deductions $3\%$

Potential $97\%$

Submissions

Attempt$($s$)$ Remaining: $71\%$ Deduction per Attempt detailed view

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