Question

A. 0.6 kgm2 B. 2.4 kgm2 O C.1.2 kgm2 19. Click Go. what is the angular acceleration of the platform? Calculate it using Newton's second law for rotational motion: torque = (moment of inertia) (angular acceleration) and then verify with the simulation. A. 1.6 rad/s2 B. 1 rad/s C. 0.83 rad/s2 20. Decrease the radius of the platform to 3 m (mass stays the same). What happens to the moment of inertia of the platform? A. Increases B. Stays the same C. Decreases 21. What happens to the angular acceleration of the 3 m radius platform if the same torque is applied? A. Increases B. Stays the same C. Decreases 22. Increase the radius of the platform back to 4 m and change the mass of the platform to 0.2 kg. What happens to the moment of inertia of the platform when the mass is increased? Compare to its moment of inertia when radius was 4 m and mass was 0.15 kg A. Increases. B. Stays the same C. Decreases 23. What happens to the angular acceleration of the 0.2 kg platform if the same torque is applied? A. Increases B. Stays the same C. Decreases 24. Reset All. Set the applied torque to 1 and click Go. Check the moment of inertia of the platform and the angular acceleration, then click Stop after 5 seconds. Now set the inner radius of the platform to 2 m and click Go. What happens to the moment of inertia of the platform when there is a hole in its center? (note: the mass of the platform is the same) A. Increases B. Stays the same C. Decreases 25. What happens to the moment of inertia of the platform if the hole is made larger? A. Increases B. Stays the same C. Decreases

help me with 24! thanks!!

Answer 1

24. Moment of inertia will increase because radius of gyration will increase due to hole at center i.e. I = MK²

where  

I = moment of inertia

M = mass

K = radius of gyration

If K increase moment of inertia increases