Home
Class 11
PHYSICS
in the given figure a ring of mass m is ...


in the given figure a ring of mass `m` is kept on a horizontal surface while a body of equal mass `m` si attached through string, which is wounded on the ring. When the system is released the ring rolls without slipping. consider the following statement and choose the correct options.
(i). Acceleration of centre of mass of ring is `(2g)/(3)`
(ii). acceleration of hanging particle is `(4g)/(3)`
(iii). Frictional force (on the ring) acts in backward direction.
(iii). Frictional force (on the ring) acts in backward direction
(iv) . Fraction force (on the ring) acts in backward direction.

A

only statement (i) and (ii) are correct

B

only statement (ii) and (iii) are correct

C

only statements (iii) and (iv) are correct

D

none of these

Text Solution

Verified by Experts


`mg-T=m(2a)` ..(i)
For ring
`T+f=ma` …(ii)
`((T-f)R)/(mR^(2))=alpha` ..(iii)
`a=Ralpha` .(iv)
Solving these equation we get
`a=(g)/(3),2a=(2g)/(3),T=(mg)/(3)` and `f=0`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Level 2 Multiple Correct|36 Videos

  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Level 2|1 Videos

  • ROTATIONAL MECHANICS

    DC PANDEY|Exercise Level 1 Subjective|32 Videos

  • ROTATION

    DC PANDEY|Exercise (C) Chapter Exercises|39 Videos

  • ROTATIONAL MOTION

    DC PANDEY|Exercise Integer Type Questions|17 Videos

Similar Questions

Explore conceptually related problems

A ring of mass m and radius R is placed on a rough inclined plane so that it rolls without slipping . Match the following table.

A ring of mass m and radius R has four particles each of mass m attached to the ring as shown in figure. The centre of ring has a speed v_(0). The kinetic energy of the system is

Knowledge Check

  • In the given figure a ring of mass m is kept on a horizontal surface while a body of equal mas 'm' attached through a string Which is wounded on the ring when the system is released the ring rolls without slipping consider the following statements and choose the correct option. (1)acceleration of the centre of mass of ring is (2g)/3 (2) acceleration of the hanging particle is (4g)/3 (3) frictional force (on the ring ) acts along forward direction (4) Frictional force (on the ring) acts along backward direction

    A
    Statement (1) and (2)only
    B
    Statement (2) and (3) only
    C
    Statement (1) and (4) only
    D
    none of these

  • A particle of mass m is rigidly attached at A to a ring of mass 3m and radius r . The system is released from rest and rolls without sliding. The angular acceleration of ring just after release is

    A
    `g/(4r)`
    B
    `g/(6r)`
    C
    `g/(8r)`
    D
    `g/(2r)`

  • A ring is allowed to roll down on an incline of 1 in 10 without slipping. The acceleration of its centre of mass is

    A
    `9.8 ms^(-2)`
    B
    `4.9 ms^(-2)`
    C
    `0.98 ms^(-2)`
    D
    `0.49ms^(-2)`

    • Similar Questions

    Explore conceptually related problems

    A thin ring of mass m and radius R is in pure rolling over a horizontal surface. If v_0 is the velocity of the centre of mass of the ring, then the angular momentum of the ring about the point of contact is

    Two identical rings are moving with equal kinetic energy One ring rolls without slipping and other ring is in pure translational motion. The ratio of their respective speeds of centre of mass is

    A uniform thin ring of mass 0.4kg rolls without slipping on a horizontal surface with a linear velocity of 10 cm/s. The kinetic energy of the ring is

    A ring of mass m and radius R rolls on a horizontal roudh surface without slipping due to an applied force 'F' . The frcition force acting on ring is :-

    A ring of mass M and radius R is at rest at the top of an incline as shown. The ring rolls down the plane without slipping. When the ring reaches bottom, its angular momentum about its centre of mass is:

    Home
    Profile