Home
Class 12
PHYSICS
A piece of wire is bent in the shape of ...

A piece of wire is bent in the shape of a parabola `y=kx^(2)` (y-axis vertical) with a bead of mass m on it. The bead can slide on the wire without friction. It stays at the lowest point of the parabola when the wire is at rest. The wire is now accelerated parallel to the x-axis with a constant acceleration a. The distance of the new equilibrium position of the bead, where the bead can stay at rest with respect to the wire, from the y-axis is:

A

`(a)/(gk)`

B

`(a)/(2gk)`

C

`(2a)/(gk)`

D

`(a)/(4gk)`

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN |Exercise EXERCISE (JM)|6 Videos

  • MOTION IN A PALNE

    ALLEN |Exercise SOLVED EXAMPLE|28 Videos

  • NEWTONS LAWS OF MOTION

    ALLEN |Exercise EXERCISE-III|28 Videos

Similar Questions

Explore conceptually related problems

Fuse wire is a wire of :

A uniform wire of length l is bent into the shape of 'V' as shown. The distance of its centre of mass from the vertex A is :-

Knowledge Check

  • When a block of mass M is suspended by a long wire of length L, the length of the wire becomes (L +l) . The elastic potential energy stored in the extended wire is:

    A
    `(1)/(2) MgL`
    B
    Mgl
    C
    MgL
    D
    `(1)/(2) Mgl`

    • Similar Questions

    Explore conceptually related problems

    The set of points on the axis of the parabola y^2-4x-2y+5=0 from which all the three normals to the parabola are real , is

    A wire is hanged from the ceiling without any weight below it, would there any stress in the wire ?

    A thick uniform wire is bent into the shape of the letter " U " as shown. Which point indicates the location of the center of mass of this wire ? A is the midpoint of the line joining mid points of two parallel sides of ' U ' shaped wire.

    A heavy mass is attached to a thin wire and is whirled in a vertical circle. The wire is most likely to break

    Let V be the vertex and L be the latusrectum of the parabola x^2=2y+4x-4 . Then the equation of the parabola whose vertex is at V. Latusrectum L//2 and axis s perpendicular to the axis of the given parabola.

    A long horizontal rod has a bead which can slide along its length and initially placed at a distance L from one end A of the rod. The rod is set in angular motion about A with constant angular acceleration alpha. if the coefficient of friction between the rod and the bead is mu , and gravity is neglected, then the time after which the bead starts slipping is

    A metal wire of resistance R is cut into three equal pieces that are then connected side by side to form a new wire, the length of which is equal to one third of the original length. The resistance of this new wire is:-

    Home
    Profile