small blob of putty of mass m = 80.0 g falls fromthe ceiling and lands on the ou

Question

small blob of putty of mass m = 80.0 g falls fromthe ceiling and lands on the outer rim of a turntable of radius R =15.0 cm and moment of inertia I = 1.80E-2kg·m2 that is rotating freely with angularspeed 3.77 rad/s about its vertical fixed-symmetry axis. What isthe postcollision angular speed of the turntable-puttysystem?
After several turns, theblob flies off the edge of the turntable. What is the angular speedof the turntable after the blob'sdeparture?

After several turns, theblob flies off the edge of the turntable. What is the angular speedof the turntable after the blob'sdeparture?

Explanation / Answer

Final moment of inertia I2 = 1.80E-2kg·m2+( 0.08kg)(0.15m)2   
          = 1.98E-2 kg m2

Initial angular speed i = 3.77rad /s
According to conservation of angularmomentum
     I1 1 =I2 2    
   2= I1 1/ I2
      = (3.77)(0.0198) / (0.018)
   =4.147rad/s

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