Question

Weightless thread can support tension up-to 2.5N. A stone of mass 0.5 kg is tied to it and is revolved in a circular path of radius 2.5 m in a vertical plane. Find maximum angular velocity of the stone.

Answer 1

F(max)=ma=m(w^2*R);
a=w^2*R;
F(max)=ma+mg=m(w^2*R+g);
2.5=0.5(w^2*2.5);
5=2.5w^2;
w=sqrt(2).