Part A-What is the initial angular momentum of the system? Part B-What is the an

Question

Part A-What is the initial angular momentum of the system?

Part B-What is the angular velocity of the system after the dumbbells are pulled in toward the axis?

Part C-Compute the kinetic energy of the system before the dumbbells are pulled in.

Part D-Compute the kinetic energy of the system after the dumbbells are pulled in.

Explanation / Answer

What is the initial angular momentum of the system? --->add the woman's I to I of dumblells (m*r^2 = 10.9 * (0.635)^2) then momentum = I * omega (3.45 rad/s) What is the angular velocity of the system after the dumbbells are pulled in toward the axis? --->angular momentum is conserved so momentum before (see above) = momentum after = I * omega I = moment of woman + (10.9 *(0.250)^2) then solve for omega (it will be greater than 3) Compute the kinetic energy of the system before the dumbbells are pulled in. KE = 1/2*I*omega^2 you have I and omega from parts 1 and 2 above solve for KE Compute the kinetic energy of the system after the dumbbells are pulled in.f --->you can repeat the energy equation for the new condition but energy is also conserved so this KE is the same as above

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