Two small spheres each of mass m connected by a string of length $$2l$$ are kept on a smooth horizontal surface. A vertical force F is applied at the middle of the string. What is maximum value of F for which the spheres do not lose contact with the surface?

Question

Infinity Learn · Accepted Answer

$$F=2Tsin$$⁡θ or Tsin⁡θ$$=F2$$     ......(i)Tsin$$⁡θ$$+N=mg$$    .......$$(ii)⇒$$N=mg$$−Tsin⁡θ   For no loss of contact:    N>$$0$$⇒    mg−Tsin⁡θ>$$0$$⇒    mg−$$F2$$>$$0$$⇒    F<$$2mg$$ So     $$Fmax=2mg$$

Two small spheres each of mass m connected by a string of length 2l are kept on a smooth horizontal surface. A vertical force F is applied at the middle of the string. What is maximum value of F for which the spheres do not lose contact with the surface?

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material