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Characteristics of Equilibrium Constant

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The velocity of a body revolving in a vertical circle of radius 'r' at the lowest point is \surd7gr The ratio of the maximum and minimum tensions in the string is

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Q. A body is moving in a vertical circle of radius '

r

' by a string. If the ratio of maximum to minimum speeds is

\sqrt{3} : 1

, the ratio of maximum to minimum tensions in the string is:

Q. A body of mass

m

is rotated along a vertical circle of radius

r

such that velocity of the body at a point of vertical circle is equal to critical velocity at that point then:
A) maximum change in K.E. during one revolution is

2 m g r

B) difference of maximum tension and minimum tension in the string is

6 m g

C) the ratio of minimum tension to maximum tension in the string is

1 : 6

D) the ratio of minimum K.E. to maximum K.E. of the body is

1 : 5

Q. A body of mass,

m

, is rotated in a vertical circle of radius,

R

, by means of a light string. If the velocity of body is

\sqrt{5 g R}

at the lowest point of vertical circle, then tension in the string is:

For a body to be able to loop a vertical circle of radius R, the minimum velocity required at its lowest point is:

Q. A particle tied to a string describes a vertical circular motion of radius

R

continuously. If it has velocity

\sqrt{3 g R}

at the highest point, then the ratio of respective tensions in the string at the highest and lowest point is

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