xam3 A small ball of putty with a mass of02 kg hitk and stucks to the botton sho

Question

xam3 A small ball of putty with a mass of02 kg hitk and stucks to the botton shown in Figure 2. The stick alone has a moment-or-inertia otris 12 moment-of-inertia for the stick alone, not for the stick and the putty together). The stick is fixed to rotate at one end and the putty hits all the way at the other end, a distance ofd from the hinge. Immediately following the collision, the stick and putty are rotating together with an angular speed of ? = 2.5 rads gm Xnote, this is the a) (10 pts.) Find the linear speed of the ball of putty, v, just before it hits the stick b) (10 pts.) Find the total kinetic energy of the putty and stick system immediately following the collision, when it is rotating at ?-2.5 rad/s (as shown in Figure 2). Gikan

Explanation / Answer

conserving angular momentum of system about the other end

initial angular momentum=final angular momentum

Inet =total moment of inertia to both=1.2+0.2*1.5^2=1.65 kgm^2

0.2*v*1.5=(1.2+(0.2*1.5^2))*2.5

we got v=13.75 m/s

(b) Total kinetic energy=0.5*Inet*w^2=5.16J

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