Home
Class 11
PHYSICS
A uniform thin rod of length l and mass ...

A uniform thin rod of length `l` and mass `m` is hinged at a distance `l//4` from one of the end and released from horizontal position as shown in Fig. The angular velocity of the rod as it passes the vertical position is

A

`2sqrt((5g)/(7l))`

B

`2sqrt((6g)/(7l))`

C

`sqrt((3g)/(7l))`

D

`2sqrt(g/l)`

Text Solution

Verified by Experts

The correct Answer is:
B
`mg(l/4)=1/2[(ml^(2))/12+m(1/4)^(2)]omega^(2)`
`omega=sqrt((24g)/(7l))=2sqrt((6g)/(7l))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS|Exercise Multiple Correct|26 Videos

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS|Exercise Linked Comprehension|71 Videos

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS|Exercise Subjective|19 Videos

  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS|Exercise Integer|11 Videos

  • SOUND WAVES AND DOPPLER EFFECT

    CENGAGE PHYSICS|Exercise Integer|16 Videos

Similar Questions

Explore conceptually related problems

A rod of length L is hinged from one end. It is brought to horizontal position and released. The angular velocity of the rod when it is in vertical position. Is

A rod of length L is hinged from one end. It is brought to a horizontal position and released. The angular velocity of the rod, when it is in vertical position, is

Knowledge Check

  • A uniform thin rod of length I and mass m is hinged at a distance (l)/(4) from one of the end and released from horizontal position as shown in diagram. What will be the angular velocity of the rod as it passes the vertical line?

    A
    `2 sqrt ((5g)/(71))`
    B
    `2 sqrt ((6g)/( 71))`
    C
    `sqrt (( 3g)/( 71))`
    D
    `2 sqrt ((2)/(1))`

  • In the above problem, if the rod is released from horizontal position, the angular velocity of the rod as it passes the vertical position is (l=length fo rod)

    A
    `sqrt((12g)/(5l))`
    B
    `sqrt((2g)/(3l))`
    C
    `sqrt((3g)/(l))`
    D
    `sqrt((3g)/(7l))`

  • One end of a uniform rod of length l and mass m is hinged at A. It is released from the rest from horizontal position AB as shown in figure. The force exerted by the rod on the hinge when it becomes verticle is

    A
    `3/2mg`
    B
    `5/2mg`
    C
    `3mg`
    D
    5mg

    • Similar Questions

    Explore conceptually related problems

    A rod is released from the horizontal position as shown. It is free to rotate about hinge. Find angular velocity of rod when it become vertical?

    A rod of length L is hinged from one end. It is brought to the horizontal position and released. The angular velocity of the rod when it is in the vertical position is sqrt(Kg//L) . Then find the value of K.

    A uniform rod of length L and mass M is free to rotate about a frictionless pivot at one end. The rod is released from rest in the horizontal position. What are the initial angular acceleration of the rod and the initial linear acceleration of the right end of the Rod ?

    One end of a uniform rod of length l and mass m is hinged at A. It is released from rest from horizontal position AB as shown in figure. The force exerted by the rod on the hinge when it becomes vertical is

    A rod of length L is hinged from one end. It is brought to a horizontal position and released. The angular velocity of the rod, When it is in verticle position is

    Home
    Profile