A small stone of mass 0.2 kg tied to a massless , inextensible string is rotated in a vertical circle of radius 2 m If the particle is just able to complete the vertical circle what is its speed at the highest point of the circular path ? How would the speed get affected if the mass of the stone is increased by 50% ? Take ` g = 10 m//s^(2) ` .

A small stone of mass 0.2 kg tied to a massless , inextensible string

1.	A small stone of mass 0.2 kg tied to a massless , inextensible string is rotated in a vertical circle of radius 2 m If the particle is just able to complete the vertical circle what is its speed at the highest point of the circular path ? How would the speed get affected if the mass of the stone is increased by 50% ? Take ` g = 10 m//s^(2) ` .
Answer» Here , ` m = 0.2 kg , r = 2 m` When the particle is just able to complete the vertical circle , `upsilon_(L) = sqrt(5 g r ) ` and `upsilon_(H) = sqrt(g r ) = sqrt(10 xx 2 ) = 4 .47 ms^(-1) ` As `upsilon_(H)` does not depend upon mass , m of the stone , therefore , value of `upsilon_(H)` will not be affected by any change in mass of the stone .

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