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Consider a small object of mass m attached to one end of a string and whirled in a vertical circle of radius R. In this case the acceleration of the object increases as it goes down the vertical circle and decreaseswhen it goes up the vertical circle. Hence the speed of the object changes continuously. Consider also that the speed of the object at the bottommost position is double its speed at the uppermost position. If s is the angle the string forms with the vertical direction, calculate: (a) The tension in the string in terms of the angle s, the mass m of the object and fundamental constants. (b) The kinetic energy of the object in terms of the angle s, the mass m of the object and fundamental constants. The answer should be left as a formula rather than a value

Consider a small object of mass m attached to one end of a string and whirled in a vertical circle of radius R. In this case the acceleration of the object increases as it goes down the vertical circle and decreaseswhen it goes up the vertical circle. Hence the speed of the object changes continuously. Consider also that the speed of the object at the bottommost position is double its speed at the uppermost position. If s is the angle the string forms with the vertical direction, calculate: (a) The tension in the string in terms of the angle s, the mass m of the object and fundamental constants. (b) The kinetic energy of the object in terms of the angle s, the mass m of the object and fundamental constants. The answer should be left as a formula rather than a value

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Consider a small object of mass m attached to one end of a string and whirled in a vertical circle of radius
R. In this case the acceleration of the object increases as it goes down the vertical circle and decreaseswhen it goes up the vertical circle. Hence the speed of the object changes continuously. Consider also that the speed of the object at the bottommost position is double its speed at the uppermost position. If s is the angle the string forms with the vertical direction, calculate:

(a) The tension in the string in terms of the angle
s, the mass m of the object and fundamental constants.

(b) The kinetic energy of the object in terms of the
angle s, the mass m of the object and fundamental constants.

The answer should be left as a formula rather than a value

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