9. An object moves in a vertical circle of radius R as indicated in the figure;

Question

9. An object moves in a vertical circle of radius R as indicated in the figure; the object is constrained to move in a circle by a string attached to the object on one end and a frictionless anchor on the other end. The object was set in motion at some initial time and now circles under the influence of only the force due to gravity and any forces exerted on it by the string: its angular velocity is not constant. When the object is at the location indicated, with the string horizontal, what is the magnitude of the tangential acceleration of the mass?

Explanation / Answer

since there is no other force excepts gravity and force by string, the magnitude of tangential acceleration will be g=9.81m/s in vertically downward (which is tangencial in this situation) direction. you may ask that why it is moving in upward direction, the answer is that body initially has been set to rotate in clockwise direction.

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