JIPMER2010PhysicsLaws of Motion
A weightless thread can bear tension upto 37 N . A stone of mass 500 g is tied to it and revolved in a circular path of radius 4 m in a vertical plane. If g=10 ~ms ⁻² , then the maximum angular velocity of the stone will be
Options
- A2 rad s ⁻¹
- B4 rad s ⁻¹
- C8 rad s ⁻¹
- D16 rad s ⁻¹
Correct answer
B. 4 rad s ⁻¹
Step-by-step solution
Maximum tension in the thread is given by or T_ =m g+ m v^2 r or T_ =m g+m r ^2( v=r ) or ^2= T_ -m g m r Given, aligned & T_ =37 ~N , m=500 ~g =0.5 ~kg , g=10 ~ms ⁻², & r=4 ~m & ^2= 37-0.5 10 0.5 4 = 37-5 2 & or ^2=16 or =4 rad s ⁻¹ aligned