a stone tied to a string is whirled in a vertical circle with uniform speed. if the difference between the max and min tensions is 1kgwt, the mass of the stone is? (ans :0.5 k)

Dear Student,

If a stone is tied to a string and whirled in a vertical circle, then,

When the stone is at its lowest point, tension in the string will be maximum as,

${T}_{max}=mg+\frac{m{v}^{2}}{l}$
Where, m is the mass of the stone, v is the speed of the stone and l is the length of the stone.

When the stone is at its highest point, the tension in the string will be minimum as,

${T}_{min}=\frac{m{v}^{2}}{l}-mg$
Given that the difference of maximum and minimum tensions is equal to . Therefore,