Question

A particle of mass m₁ is fastened to one end of a string and one of m₂ to the middle point, the other end of the string being fastened to a fixed point on a smooth horizontal table. The particle are then projected, so that the two portions of the string are always in the same straight line and describes horizontal circles. Find the ratio of tensions in the two parts of the string-

• A. $\frac{m_{1}}{m_{1} + m_{2}}$
• B. $\frac{m_{1} + m_{2}}{m_{1}}$
• C. $\frac{2m_{1} + m_{2}}{2m_{1}}$
• D. $\frac{2m_{1}}{m_{1} + m_{2}}$

Answer 1

Answer: (C)

$\frac{2m_{1} + m_{2}}{2m_{1}}$

Answer 2

for m_{1 : -} T₁= m₁w²(2r) …...(i)

for m_{2 : -} T₂ – T₁ = m­₂w²r ….(ii)