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A particle of mass 'm' attached to an inextensible string is moving in a vertical circle of radius 'r'.The critical velocity at the highest point is 'V 0 ' to complete the vertical circle.The tension in the string when it becomes horizontal is___________

A particle of mass 'm' attached to an inextensible string is moving in a vertical circle of radius 'r'.The critical velocity at the highest point is 'V0' to complete the vertical circle.The tension in the string when it becomes horizontal is___________

Grade:11

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
12 years ago

Dear sindhuja

critical velocity at the highest point is 'V0'

force balance at highes point 

  mg=mV02/r

or  V02 =rg

now for motion from horizontal to highes point

 energy balance             1/2 mv2 =1/2 mV02    +mgr

                                                        v2    =3gr

force balance   T=mv2/r

                             =3mg


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