Home
Class 12
PHYSICS
A uniform thin rod of mass 'm' and lengt...

A uniform thin rod of mass 'm' and length '3l' is released from rest from horizontal position as shown. When it passes through the vertical line AD, it gets broken at point 'C' without jerk. Find the angle (in radian) rotated by rod BC till its centre of mass passes through the horizontal line PQ frm the instant of breakage `(g = 10 m//s^(2))` (hinge is smooth)

Text Solution

Verified by Experts

The correct Answer is:
4 radians
By energy conservation,
`mg. (3l)/(2) = (1)/(2) (m (3l)^(2))/(3) omega^(2) " " omega = sqrt((g)/(l))`
If time taken by centre of mass of rod BC from breaking position to line PQ is t.
`theta = omega.t = 4` radian
Promotional Banner

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEM

    RESONANCE ENGLISH|Exercise DPP No.61|20 Videos

  • DAILY PRACTICE PROBLEM

    RESONANCE ENGLISH|Exercise DPP No.62|9 Videos

  • DAILY PRACTICE PROBLEM

    RESONANCE ENGLISH|Exercise DPP No.59|9 Videos

  • CURRENT ELECTRICITY

    RESONANCE ENGLISH|Exercise High Level Problems (HIP)|19 Videos

  • ELECTRO MAGNETIC WAVES

    RESONANCE ENGLISH|Exercise Exercise 3|27 Videos

Similar Questions

Explore conceptually related problems

A uniform rod of mass m, hinged at its upper end, is released from rest from a horizontal position. When it passes through the vertical position, the force on the hinge is

A thin rod of mass M and length L is released from rest in position shown. The path of centre of mass of rod till the rod become horizontal is [ Assume surface is smooth]

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 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 thin uniform rod mass M and length L is hinged at its upper end. And released from rest from a horizontal position. The tenstion at a point located at a distance L//3 from the hinge point, when the rod become vertical will

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 thin rod of mass m and length l is standing on a smooth horizontal suface. A slight disturbance causes the lower end to slip on the smooth surface and the rod starts falling. Find the velocity of centre of mass of the rod at the instant when it makes an angle theta with horizontal.

A uniform rod AB of mass m and length l at rest on a smooth horizontal surface . An impulse P is applied to the end B . The time taken by the rod to turn through a right angle is :

A uniform rod AB of mass m and length l at rest on a smooth horizontal surface . An impulse P is applied to the end B . The time taken by the rod to turn through a right angle is :

Four identical uniform thin rods, each of mass m and length l are joined to a common point O as shown in the figure. Moment of inertia of the system about an axis passing through O and lying in the plane of rods is