1) What is the ratio of the angularaccelerations of the two cylinders (a1 /a2),

Question

1)  What is the ratio of the angularaccelerations of the two cylinders (a1 /a2), assuming the strings do notslip?

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.

5)  What is the magnitude of angularacceleration immediately upon release?

Are the following statements true or false?

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.

Two separate uniform solid cylinders are free to rotate aroundfixed frictionless axles through their respective centers. Bothcylinders have the same mass, but cylinder 2 has twice the radiusof cylinder 1. Each cylinder has a string wrapped several timesaround its circumference, and both of these strings are pulled withidentical forces in directions perpendicular to the rotationaxes.

Explanation / Answer

1. 4 2. False 3. True 4. True 5. 26.2 rad/s^2 6. False 7. False 8. False If you need explanation, feel free to msg me

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