AP EAMCET201824 Apr 2018Morning ShiftPhysicsLaws of MotionActual
A stone of mass 2 ~kg tied to a light inextensible string of length 5 3 ~m is whirling in a circular path in a vertical plane. If the ratio of the maximum tension to the minimum tension in the string is 4 , then the speed of the stone at the highest point of the circle is (g=10 ~ms ⁻² )
Options
- A20 ~ms ⁻¹
- B10 3 ~ms ⁻¹
- C50 ~ms ⁻¹
- D10 ~ms ⁻¹
Correct answer
C. 50 ~ms ⁻¹
Step-by-step solution
Tension is maximum at bottom of vertical circle and it is T₁= m v^2 r +m g Tension is minimum at top and it is T₂= m u^2 r -5 m g Given, ratio T₁ T₂ =4 21 m g=3 m u^2 r u^2=7 rg Now, velocity at top, v= u^2-4 r g = 7 r g-4 r g = 3 r g = 50 ~m / s