a small cylinder rests on a circular turntable that is rotating clockwise at a constant speed. which set of…

a small cylinder rests on a circular turntable that is rotating clockwise at a constant speed. which set of vectors gives the direction of the velocity v and acceleration a of the cylinder, and the net force σf that acts on it.

a small cylinder rests on a circular turntable that is rotating clockwise at a constant speed. which set of vectors gives the direction of the velocity v and acceleration a of the cylinder, and the net force σf that acts on it.

Answer

Explanation:

Step1: Recall centripetal - force concept

For an object moving in a circular path at a constant speed, the net - force acting on it is the centripetal force. The centripetal force always points towards the center of the circular path. The acceleration of the object is also centripetal acceleration which has the same direction as the centripetal force. The velocity of the object is tangent to the circular path at any given point.

Step2: Analyze the directions

The velocity vector $\vec{v}$ of the cylinder on the rotating turntable is tangent to the circular path of the cylinder's motion. The acceleration $\vec{a}$ and the net - force $\sum\vec{F}$ (centripetal force) point towards the center of the circular path of the turntable.

Answer:

The correct set of vectors is the one where the velocity vector is tangent to the circular path and the acceleration and net - force vectors point towards the center of the circular path. Looking at the options, the correct one is (4) where the velocity vector is tangent, and the acceleration and net - force vectors point towards the center of the circular motion of the cylinder on the turntable.