question_answer

A stone of mass 2kg is tied to a string of length 0.5m if the breaking tension of the string is 900N, then the maximum angular velocity, the stone can have in uniform circular motion is:

A) 30rad/s                         

B) 20rad/s

C) 10rad/s                         

D) 40rad/s

Correct Answer: A

Solution :

\[\operatorname{T}-mg=m{{\omega }^{2}}\ell \] \[900-2\times 10 =2\omega 2\times 0.5\] \[{{\omega }^{2}} =880\] \[\omega  = 29.66\] \[\omega = 30 rad/sec\]