Home
Class 11
PHYSICS
A rod PQ of mass M and length L is hinge...

A rod `PQ` of mass `M` and length `L` is hinged at end `P`. The rod is kept horizontal by a massless string tied to point `Q` as shown in the figure. When string is cut, the initial angular accleration of the rod is.

A

`(3 g)/(2 L)`

B

`(g)/(L)`

C

`(2 g)/(L)`

D

`(2 g)/(3 L)`

Text Solution

Verified by Experts

The correct Answer is:
A
(a) Taking torque about `P`
`Mg((L)/(2)) = ((M L^2)/(3)) prop`
Hence `prop = (3 g)/(2 L)`.
.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ROTATIONAL DYNAMICS

    A2Z|Exercise AIIMS Questions|40 Videos

  • ROTATIONAL DYNAMICS

    A2Z|Exercise Chapter Test|29 Videos

  • ROTATIONAL DYNAMICS

    A2Z|Exercise Assertion Reasoning|20 Videos

  • PROPERTIES OF MATTER

    A2Z|Exercise Chapter Test|29 Videos

  • THERMAL PROPERTIES OF MATTER

    A2Z|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

A rod PQ of mass M and length L is hinged at end P . The rod is kept horizontal by a masseless string tied to point Q as shown in Fig. When string is cut, the initial angular acceleration of the rod is :

A uniform rod AB of length L and and weight Mg is hinged at one end A. The rod is kept in the horizontal position by a massless string. If the string is cut, then the angular acceleration of the rod will be ["M.I. of the rod about A is "(ML^(2))/(3)]

Knowledge Check

  • A rod PQ of mass M and length L is hinged at end P. The rod is kept horizontal by a massless string tied to point Q as shown in figure. When string is cut, the intial angular acceleration of the rod is

    A
    `(3g)/(2L)`
    B
    `(g)/(L)`
    C
    `(2g)/(L)`
    D
    `(2g)/(3L)`

  • A rod is supported horizontally by means of two strings of equal length as shown in figure. If one of the string is cut. Then tension in other string at the same instant will.

    A
    remains unaffected
    B
    increase
    C
    decrease
    D
    become equal to weight of the rod.

    • Similar Questions

    Explore conceptually related problems

    A uniform rod AB of mass 2 kg is hinged at one end A . The rod is kept in the horizontal position by a massless string tied to point B . Find the reaction of the hinge (in N ) on end A of the rod at the instant when string is cut. (g = 10 m//s^(2))

    A uniform rod of mass m and length l is held horizontally by two vertical strings of negligible mass, as shown in the figure. (a). Immediately after the right string is cut, what is the linear acceleration of the end of the rod? (b). Of the middle of the rod? (c). Determine the tension in the left string immediately after the right string is cut.

    A uniform thin rod has mass m and length l. One end of the rod lies over rough horizontal surface and the other end is connected to a light vertical string as shown in the figure. When string is cut, there is no slipping between rod and surface.Calculate the friction force (in N) on the rod immediately after the string is cut .(Given mg=(16)/(sqrt(3))N )

    A unifrom rod AB of length L and mass M is held horizontally with the help of one light string and a hinge as shown. If string at B is burnt suddenly, find out the initial angular acceleration of the rod and the intial reaction force at the hinge.

    A rod of mass 'm and length L is attached to a L shaped plank at 'A'. rod can move freely about A. A string is tied between rod and plank as shown in figure. Whole system is moving with a constant acceleration g in x-direction If string is cut at any instant then the angular acceleration of rod (with respect to the plank) at that instant is

    A rod of mass 'm and length L is attached to a L shaped plank at 'A'. rod can move freely about A. A string is tied between rod and plank as shown in figure. Whole system is moving with a constant acceleration g in x-direction Force exerted by hinge on the rod is

    Home
    Profile