Are the following statements true or false? 2) Two balls, one larger than theoth

Question

Are the following statements true or false?

2)  Two balls, one larger than theother, roll without slipping across a horizontal floor with thesame center of mass velocity. The ball with the larger radius hasthe larger magnitude of angular velocity about an axis through itscenter of mass.

3)  The net torque on an object instatic equilibrium must be zero about any axis.

4)  The relationshipt =Ia relating the torqueand angular acceleration about the center of mass of an object isnot valid whenever the center of mass is accelerating.

6)  If the net force on a system iszero, then the system must be in static equilibrium.

7)  A rotating object must beexperiencing a net torque about the rotation axis.

8)  If there is a net torque on asystem there must be a net force on the system.

Explanation / Answer

2)  Two balls, one larger than theother, roll without slipping across a horizontal floor with thesame center of mass velocity. The ball with the larger radius hasthe larger magnitude of angular velocity about an axis through itscenter of mass. v=r

3)  The net torque on an object instatic equilibrium must be zero about any axis. T=0

4)  The relationshipt =Ia relating the torqueand angular acceleration about the center of mass of an object isnot valid whenever the center of mass isaccelerating.    

6)  If the net force on a system iszero, then the system must be in staticequilibrium.    it can moving withconstant speed

7)  A rotating object must beexperiencing a net torque about the rotation axis.  can rotate with constant angularvelocity

8)  If there is a net torque on asystem there must be a net force on the system.  

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