Question

A small spherical body is tied to a string of length 1 m and revolved in a vertical circle such that the tension in the string is zero at the highest point . Find the linear speed of the body in the 1) lowest position & 2) highest position

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Answer 1

Step-by-step explanation:

At the highest point, the tension force is 0, so the only force acting on the sphere is gravity. Sum of forces on the sphere in the centripetal direction:

∑F = ma

mg = mv²/r

v = √(gr)

v = √(9.8 m/s² × 1 m)

v = 3.13 m/s

If the speed is constant, then the linear speed at the lowest point is also 3.13 m/s. Otherwise, we would need to know the tension in the string at that point.