A mass of 0.2kg is rotated by a string at a constant speed in a vertical circle of radius 1m. If the minimum tension int he string is 3N. Calculate the magnitude of the speed and the maximum tension in the string.

Given,
Mass of the stone (m)=0.2kg
Radius of the circle (r)=1m
Minimum Tension in String (Tmin)=3N
Magnitude of the speed (v)=?
Maximum tension in the string (Tmax)=?

We have,
Tmax=mv2r+mg
Tmin=mv2rmg

From equation (ii); we get,
v2=Tminrm+mg=310.2+0.210=25
v=5m/s

∴ Magnitude of the speed (v)=5m/s

From equation (i), we get,
Tmax=0.2521+0.210=7N

∴ Maximum tension in the string (Tmax)=7N

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