Question #185760

A small ball of mass m = 5 kg is suspended from 

a string of length L = 5 m. The ball revolves 

with constant speed v in a horizontal circle of 

radius r = 2 m. Find an expression for v and a.


1
Expert's answer
2021-04-28T07:23:39-0400

Answer

By applying equilibrium in vertical

Tcosθ=mgTcos\theta=mg



And

Tsinθ=mv2rmgtanθ=mv2rv=rgtanθTsin\theta=\frac{mv^2}{r}\\mgtan\theta=\frac{mv^2}{r}\\v=\sqrt{rgtan\theta}

This is the required equation of velocity


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