Home
Class 11
PHYSICS
A body of mass m is rotated in a vertica...

A body of mass `m` is rotated in a vertical circle with help of light string such that velocity of body at a point is equal to critical velocity at that point. If `T_(1), T_(2)` be the tensions in the string when the body is crossing the highest and the lowest positions then the following relation is correct

A

`T_(2)-T_(1) = 6mg`

B

`T_(2)-T_(1) = 4mg`

C

`T_(2)-T_(1) = 3mg`

D

`T_(2)-T_(1) = 2mg`

Text Solution

Verified by Experts

The correct Answer is:
A
`T_(1) = (m v_(1)^(2))/(r )-mg, T_(2) = (m v_(2)^(2))/(r )+mg`
`v_(2)^(2)-v_(1)^(2) = 4gr, v_(1) = sqrt(g r)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COLLISION

    NARAYNA|Exercise Level-II (H.W)|54 Videos

  • COLLISION

    NARAYNA|Exercise Subjective type Questions|9 Videos

  • CIRCULAR MOTION

    NARAYNA|Exercise LEVEL II(H.W)|51 Videos

  • FRICTION

    NARAYNA|Exercise Passage type of questions I|6 Videos

Similar Questions

Explore conceptually related problems

A body tied to one end of a string is made to revolve in a vertical circle. Derive an expression for the velocity of the body and tension in the string at any point.

A particle tied to a string describes a vertical circular motion of radius r continually. If it has a velocity sqrt(3 gr at the highest point, then the ratio of the respective tensions in the string holding it at the highest and lowest points is

Knowledge Check

  • A body of mass m is rotated in a vertical circle of radius R by means of light string. If the velocity of body is sqrt(gR) while it is crossing highest point of vertical circle then the tension in the string at that instant is

    A
    `2 mg`
    B
    `mg`
    C
    `(mg)/(2)`
    D
    Zero

  • A point mass m is moved in vertical circle of radius r with help of string. Velocity of mass is root(7gr) at lowest point. Tension in string at lowest point is

    A
    6 mg
    B
    7 mg
    C
    8 mg
    D
    1 mg

  • A point mass 'm' is moved in a vertical circle of radius 'r' with the help of a string. The velocity of the mass is gr at the lowest point. The tension in the string at the lowest point is

    A
    7 mg
    B
    8 mg
    C
    1 mg
    D
    6 mg

    • Similar Questions

    Explore conceptually related problems

    The velocity of a body of mass m revolving in a vertical circle of radius R at the lowest point 2sqrt2gR . The minimum tension in the string will be

    A body of mass 5 kg is whirled in a vertical circle by a string 1 m long. Calculate velocity at top of the circle for just looping the vertical loop.

    The tension in the string revolving in a vertical circle with a mass m at the end which is at the lowest position

    A body of mass m tied to a string is moved in a vertical circle of radius r. The difference in tensions at the lowest point and the highest point is

    A particle of mass m attached to an inextensible light 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

    Home
    Profile