Home
Class 11
PHYSICS
A uniform rod of length L and density rh...

A uniform rod of length L and density `rho` is being pulled along a smooth floor with a horizontal acceleration `alpha` (see Fig.) The magnitude of the stress at the transverse cross-section through the mid-point of the rod is……..

Text Solution

Verified by Experts

Let `A` be area of cross section of the rod.
Mass `mxx"volume"xx"density =(L/2A)rho`
`T=-ma=(L/2Arhoa)`
Therefore stress `T/A=1/2rhoaL`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS|Exercise SCQ_TYPE|6 Videos

  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS|Exercise LC_TYPE|3 Videos

  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS|Exercise Integer|6 Videos

  • NEWTON'S LAWS OF MOTION 2

    CENGAGE PHYSICS|Exercise Integer type|1 Videos

  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS|Exercise Integer|11 Videos

Similar Questions

Explore conceptually related problems

A uniform rod of length L and mass M is pulled horizontally on a smooth surface with a force F . Determine the elongation of rod if Young's modulus of the material is Y .

A uniform rod of length 2a is held with one end resulting on a smooth horizontal table makin an angle alpha with the vertical. When the rod is released,

Knowledge Check

  • A uniform rope of length 'L and linear density 'mu' is on a smooth horizontal table with a length 'I' lying on the table. The wrok done in pulling the hanging part on to the table is

    A
    `(mu g(L-l)^(2))/(2)`
    B
    `(mu g(L-l)^(2))/(2l^(2))`
    C
    `(mu g(L-l)^(2))/(2L^(2))`
    D
    `(mu g L)/(2(L-l))`

    • Similar Questions

    Explore conceptually related problems

    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)]

    A uniform rod of mass M and length L, area of cross section A is placed on a smooth horizontal surface. Forces acting on the rod are shown in the digram Ratio of elastic potential energy stored in section PQ and section QR of the rod is

    A uniform rod of length L and mass M has been placed on a rough horizontal surface. The horizontal force F applied on the rod is such that the rod is just in the state of rest. If the coefficient of friction varies according to the relation mu =Kx where K is a +ve constant. Then the tension at mid point of rod is?

    A uniform rod of mass M and length L, area of cross section A is placed on a smooth horizontal surface. Forces acting on the rod are shown in the digram Total elastic potential energy stored in the rod is :

    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 AB of mass m and length l is at rest on a smooth horizontal surface. An impulse J is applied to the end B perpendicular to the rod in horizontal direction. Speed of the point A of the rod after giving impulse is:

    A uniform rod of mass M and length L, area of cross section A is placed on a smooth horizontal surface. Forces acting on the rod are shown in the digram Ratio of elongation in section PQ of rod and section QR of rod is

    Home
    Profile