A string of length ' L ' fixed at one end carries a mass ' m ' at the other end. The string makes 3 r.p.s. around the vertical axis through fixed end. The tension in the string is

Step-by-step solution

Consider the free body diagram On considering horizontal force balance: T = m ^2 R Using the geometry, R = L T = ( m ^2 ~L ) Given, = ( 3 ) r.p.s. = ( 3 )(2 ) rad / s =6 rad / s T =36 ~mL