Home
Class 11
PHYSICS
A uniform wire of length l is bent into ...

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 :-

A

`l//2`

B

`(lsqrt3)/(4)`

C

`(lsqrt3)/(8)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
`bar(x) = (l)/(4)cos30^(@) = (sqrt3l)/(8)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-II|43 Videos

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-III|42 Videos

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-V B|19 Videos

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise EXERCISE-IV ASSERTION & REASON|11 Videos

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN|Exercise Exercise 5 B (Integer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

A uniform wire of length L is bent in the form of a circle.The shift in its centre of mass is

The distance of the centre of mass of T-shaped uniform plate from O is :

Knowledge Check

  • A thin uniform rod of length L is bent at its mid point as shown in the figure. The distance of the centre of mass from the point O is

    A
    `L/2 sin (theta/2)`
    B
    `L/2 cos(theta/2)`
    C
    `L/4 sin (theta/2)`
    D
    `L/4 cos (theta/2)`

  • A uniform rod o length one meter is bent at its midpoint to make 90^@ . The distance of centre of mass from the centre of rod is (in cm )

    A
    `20.2`
    B
    `13.4`
    C
    `15`
    D
    `17.6`

  • Two identical thin uniform rods of length L each are joined to form T shape as shown in the figure. The distance of centre of mass from D is

    A
    `0`
    B
    `L//4`
    C
    `3L//4`
    D
    `L`

    • Similar Questions

    Explore conceptually related problems

    A thin uniform wire of mass m and length l is bent into to shape of a semicircle. The moment of inertia of that wire about an axis passing through its free ends is

    A uniform wire of length l and mass M is bent in the shape of a semicircle of radius r as shown in figure. Calculate moment of intertia about the axis XX'

    A uniform metre rod is bent into L shape with the bent arms at 90^@ to each other. The distance of the centre of mass from the bent point is

    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 uniform wire is bent into the form of a rectangle of length L and width W . The coordinates of its centre of mass from a corner are

    Home
    Profile