#### Question

A stone of mass 5 kg. tied to one end of a rope of length 0.8 m, is whirled in a vertical circle. Find the minimum velocity at the highest point and at the midway point.

[g = 9.8 m/s^{2}]

#### Solution

m = 5 kg, r = 0.8 m, g = 9.8 m/s^{2}

Minimum velocity at the highest point (vH) = ?

Minimum velocity at midway point (vM) = ?

At highest point,

`V_H=sqrt(rg)`

`=sqrt(0.8xx9.8)`

`=sqrt7.84`

`=2.8` m/s

The minimum velocity at the highest point is 2.8 m/s. At midway point,

`V_M=sqrt(3rg)`

`=sqrt(3)xx2.8`

`=1.732xx2.8`

`=4.849` m/s

`~~4.85 m/s`

Is there an error in this question or solution?

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#### APPEARS IN

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A Stone of Mass 5 kg. Tied to One End of a Rope of Length 0.8m, is Whirled in a Vertical Circle. Find the Minimum Velocity at the Highest Point and at the Midway Point. Concept: Equation for Velocity and Energy at Different Positions of Vertical Circular Motion.

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