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

A uniform rod of mass `m` and length `l` can rotate in a vertical plane abota smooth horizontal axis hinged at point `H`. Find the force exerted by the hinge just after rod is released from rest, from initial horizontal position?

Text Solution

Verified by Experts

Free body diagram of the rod

In the previous problem
`a=(3g)/(2l)`
Hence `a_(CM)=a_(t)=(alphal)/2=(3g)/4`
From the free body diagram in the vertical direction
`mg-N_(1)=ma_(CM)=m((3g)/4)`
`implies N_(1)=(mg)/4`
In horizontal direction
`F_(ext)=ma(CM)impliesN_(2)=0`
(`:'a_(CM)` in horizontal `=0` as `omega=0` just after release)
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS ENGLISH|Exercise Subjective|13 Videos

  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS ENGLISH|Exercise Single Correct|97 Videos

  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 2.3|15 Videos

  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS ENGLISH|Exercise INTEGER_TYPE|2 Videos

  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS ENGLISH|Exercise Interger|2 Videos

Similar Questions

Explore conceptually related problems

A uniform rod of mass m and length l can rotate in a vertical plane about a smooth horizontal axis point H . a. Find angular acceleration alpha of the rod. just after it is released from initial horizontal position from rest'? b. Calculate the acceleration (tangential and radial) , point A at this moment.

A uniform rod of mass m and length l can rotate in vertical plane about a smooth horizontal axis hinged at point H . Find angular acceleration alpha of the rod just after it is released from initial position making an angle of 37^@ with horizontal from rest?

A uniform rod of mass m and length L is free to rotate in the vertical plane about a horizontal axis passing through its end. The rod initially in horizontal position is released. The initial angular acceleration of the rod is:

A uniform rod AB of mass 3m and length 4l, which is free to turn in a vertical plane about a smooth horizontal axis through A, is released from rest when horizontal. When the rod first becomes vertical, a point C of the rod, where AC=3l strikes a fixed peg. Find the linear impulse exerted by the peg on the rod if (a). The rod is brought to rest by the peg. (b). The rod rebounds and next comes to instantaneous rest inclined to the downward vertical at an angle (pi)/(3) radian.

A thin uniform rod of mass M and length L is free to rotate in vertical plane about a horizontal axis passing through one of its ends. The rod is released from horizontal position shown in the figure. Calculate the shear stress developed at the centre of the rod immediately after it is released. Cross sectional area of the rod is A. [For calculation of moment of inertia you can treat it to very thin]

ABC is a triangular framwork of three uniform rods each of mass m and length 2l . It is free to rotate in its own plane about a smooth horizontal axis through A which is perpendicular to ABC. If it is released from rest when AB is horizontal and C is above AB. Find the maximum velocity of C in the subsequent motion.

A uniform rod of mass m and length l is fixed from Point A , which is at a distance l//4 from one end as shown in the figure. The rod is free to rotate in a vertical plane. The rod is released from the horizontal position. What is the reaction at the hinge, when kinetic energy of the rod is maximum?

A uniform rod of mass m and length l rotates in a horizontal plane with an angular velocity omega about a vertical axis passing through one end. The tension in the rod at a distance x from the axis is

A uniform rod of mass 20 Kg and length 1.6 m is piovted at its end and swings freely in the vertical plane. Angular acceleration of the rod just after the rod is relased from rest in the horizontal position is

A thin homogeneous rod of mass m and length l is free to rotate in vertical plane about a horizontal axle pivoted at one end of the rod. A small ballof mass m and charge q is attached to the opposite end of this rod. The whole system is positioned in a horizontal electric field of magnitude E=(mg)/(2q) . The rod is released from, shown position from rest. What is the angular acceleration of the rod at the instant of releasing the rod?

Home
Profile