Home
Class 11
PHYSICS
A body is hanging from a rigid support. ...

A body is hanging from a rigid support. by an inextensible string of length `'1'` . It is struck inelastically by an identical body of mass in with horizontal velocity `v=sqrt(2gl)` the tension in the string increases just after the striking by

A

`mg`

B

`3mg`

C

`2mg`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`mv=(m+m)v_(1)` or `v_(1)=v/2`
`T=(2mv_(1)^(2))/l+2mg=(2mv^(2))/(4l)+2mg`
`=(m(2gl))/(2l)+2mg=3mg`
Initial tension `= mg` increase in tension `=2mg`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CENTRE OF MASS

    CENGAGE PHYSICS|Exercise Multiple Correct|25 Videos

  • CENTRE OF MASS

    CENGAGE PHYSICS|Exercise Assertion - Reasoning|2 Videos

  • CENTRE OF MASS

    CENGAGE PHYSICS|Exercise Subjective|23 Videos

  • CALORIMETRY

    CENGAGE PHYSICS|Exercise Solved Example|13 Videos

  • DIMENSIONS & MEASUREMENT

    CENGAGE PHYSICS|Exercise Integer|2 Videos

Similar Questions

Explore conceptually related problems

Two block of masses m_(1) and m_(2) are in equilibrium. The block m_(2) hangs from a fixed smooth pulley by an inextensible string that is fitted with a light spring of stiffness k as shown in fig. Neglecting friction and mass of the string, find the acceleration of the bodies just after the string S is cut.

A heavy particle hanging from a fixed point by a light inextensible string of length l is projected horizonally with speed sqrt(gl) . Find the speed of the particle and the inclination of the string to the vertical at the instant of the motion when the tension in the string is equal to the weight of the particle.

Knowledge Check

  • A bob hangs from a rigid support by an inextensible string of length l. It is released from rest when string makes an agngle 60^(@) with vertical . The speed of the bob at the lowest position is

    A
    `sqrt( gl)`
    B
    `sqrt( 3gl)`
    C
    `sqrt( 2gl)`
    D
    `sqrt( 5gl)`

  • A bob hangs from a rigid support by an inextensible string of length l . If it is displaced through a distance l (from the lowest position) keeping the string straight and then released. The speed of the bob at the lowest position is

    A
    `sqrt(gl)`
    B
    `sqrt(3gl)`
    C
    `sqrt(2gl)`
    D
    `sqrt(1.5 gl)`

  • A particle of mass m is attached to one end of a light inextensible string and the other end of the string is fixed in vertical plane as shown. Particle is given a horizontal velocity u = sqrt((5)/(2)gl) The tension in the string at an instant when acceleration of the particle is horizontal and sqrt(3)g is

    A
    mg
    B
    2 mg
    C
    4 mg
    D
    6 mg

    • Similar Questions

    Explore conceptually related problems

    A loop of mass M with two identical rings of mass m at its top hangs from a ceiling by an inextensible string. If the rings gently pushed horizontally in opposite directions, find the angular distance covered by each ring when the tension in the string vanishes for once during their motion.

    A heavy particle hanging from a fixed point by a light inextensible string of length l is projected horizontally with a speed of sqrtgl . Find the speed of the particle and the inclination of the string to the vertical at the instant of the motion, when the tension in the string is equal to the weight of the particle.

    A heavy particle hanging from a fixed point by a light inextensible string of length l is projected horizontally with speed (gl) . Then the speed of the particle and the inclination of the string to the vertical at the instant of the motion when the tension in the string equal the weight of the particle-

    A particle suspended by a light inextensible thread of length l is projected horizontally from its lowest position with velocity sqrt(7gl//2) . The string will slack after swinging through an angle equal to

    Mass of the bob of a simple pendulum of length L is m . If the bob is projected horizontally from its mean position with velocity sqrt(4 gL) , then the tension in the string becomes zero after a vertical displacement of

    Home
    Profile