Home
Class 12
PHYSICS
A uniform rod of mass m and length l rot...

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

Text Solution

Verified by Experts

The correct Answer is:
5
`F_(A)=(2m)/3 omega^(2)xx(2l)/3, F_(C), m/2 omega^(2)xx (3l)/4`
`implies (F_(A))/(F_(C))=32/27`
`impliesn=5`
Promotional Banner

Similar Questions

Explore conceptually related problems

A uniform rod of length l is being rotated in a horizontal plane with a constant angular speed about an axis passing through one of its ends. If the tension generated in the rod due to rotation is T(x) at a distance x from the axis. Then which of the following graphs depicts it most closely?

A uniform rod of mass m and length l_(0) is rotating with a constant angular speed omega about a vertical axis passing through its point of suspension. Find the moment of inertia of the rod about the axis of rotation if it make an angle theta to the vertical (axis of rotation).

A thin uniform copper rod of length l and mass m rotates uniformly with an angular velocity omega in a horizontal plane about a vertical axis passing through one of its ends. Determine the tension in the rod as a function of the distance r from the rotation axis. Find the elongation of the rod.

A uniform rod mass m and length l is provided at one end and is rotated with constant angular velocity omega in a horizontal plane. Tension in the rod at a distance (√3l/2) from pivoted end is (Assume gravity free space)

A rod AB of length l is pivoted at an end A and freely rotated in a horizontal plane at an angular speed omega about a vertical axis passing through A. If coefficient of linear expansion of material of rod is alpha , find the percentage change in its angular velocity if temperature of system is incresed by DeltaT

A rigid rod of mass m and lengths l, is being rotated in horizontal plane about a vertical axis, passing through one end A. If T_(A), T_(B) and T_(C) are the tensions in rod at point A, mid point B and point C of rod repsectively, then

A thin uniform copper rod length l and mass m rotates unifomly with an angular velocity omega about a vertical axis passing through one of its ends as shown in the figure. Young's modulus of copper is Y. Breaking stress is sigma_(max) , cross sectional area of rod is A and density of rod is uniform. Based on above information, answer the following questions The maximum angular velocity with which the rod can rotate so that is won't break, is

A uniform rod of mass m and length L lies radialy on a disc rotating with angular speed omega in a horizontal plane about vertical axis passing thorugh centre of disc. The rod does not slip on the disc and the centre of the rod is at a distance 2L from the centre of the disc. them the kinetic energy of the rod is

A rod is rotating with angular velocity omega about axis AB. Find costheta .

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: