The turntable in Fig. 11.15 has rotational inertia 0.021 kg The turntable in Fig

Question

The turntable in Fig. 11.15 has rotational inertia 0.021 kg

The turntable in Fig. 11.15 has rotational inertia 0.021 kg·m2 and is rotating at 0.26 rad/s about a frictionless vertical axis. A wad of clay is tossed onto the turntable and sticks 15 cm from the rotation axis. The clay hits with horizontal velocity component 1.2 m/s, at right angles to the turntable's radius, and in a direction that opposes the rotation. After the clay lands, the turntable has slowed to 0.085 rad/s (in the same direction). Find the mass of the clay.

Explanation / Answer

Mc = I*(wi - wf)/(Ni*r + r^2*wf)

= 0.021*(0.26 - 0.085)/(1,2+0.085*0.15)*0.15

= 0.0202 kg = 20.2 g

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