Question

A 5.0-kg object attached to the end of a 4.0-m rope is moving in a vertical...

A 5.0-kg object attached to the end of a 4.0-m rope is moving in a vertical circle. What is the object's linear velocity at the top of the circle if the tension in the rope at this point is 30 N?

6 m/s

8 m/s

9 m/s

10 m/s

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Answer #1

This problem based upon application of newtons law of motion to the circular motion of an object.At the highest point on the circular path in the vertical plane tension and gravitational forces are vertically directed downwards and the centripetal acceleration also directed downwards.The linear velocity at the highest point on the circular path is calculated as shown in the pages 1&2.

THEREFORE LINEAR SPEED AT THE HIGHEST POINT IS 8m/s

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