Question

When a stone is tied to the end of a 2 m long rope and moved at regular speed in the vertical plane, the minimum and maximum stress ratio arising in it is 25: 3, then what is the velocity of the stone?​

Answer 1

Solution:-

A stone is tied to the end of a 2 m long rope .

Speed is regular in vertical plane .

So we took mgcos and mgsin ( theta ) of stone .

Maximum ratio = Q = 0 °

Minimum ratio = Q = 90 °

we took the equation in formula = Tcos / Tsin

= Mg + (mv ² / r) / mv2/r

= 2g / 3

3 g = 25 v² / r

g = ✓3 × 10 × 2 / 2 s

= 16 mgh

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So the velocity of the stone is 16 mgh .