Home
Class 11
PHYSICS
Find the centre of mass of a triangular ...

Find the centre of mass of a triangular lamina.

Text Solution

Verified by Experts

The lamina `(∆LMN)` may be subdivided into narrow strips each parallel to the base (MN) as shown in Fig. 7.10

By symmetry each strip has its centre of mass at its midpoint. If we join the midpoint of all the strips we get the median LP. The centre of mass of the triangle as a whole therefore, has to lie on the median LP. Similarly, we can argue that it lies on the median MQ and NR. This means the centre of mass lies on the point of concurrence of the medians, i.e. on the centroid G of the triangle.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    NCERT TELUGU|Exercise EXERCISES|29 Videos

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    NCERT TELUGU|Exercise EXERCISES (TRUE OR FALSE)|5 Videos

  • OSCILLATIONS

    NCERT TELUGU|Exercise Additional Exercises|6 Videos

  • THERMAL PROPERTIME OF MATTER

    NCERT TELUGU|Exercise EXERCISES|30 Videos

Similar Questions

Explore conceptually related problems

A uniform lamina ABCDE is made from a square ABDE and an equilaterial triangle BCD. Find the centre of mass of the lamina.

Find the centre of mass of the system:

Knowledge Check

  • (A) : The centre of mass of uniform triangular lamina is centroid. (R ): Centroid is centre of symmetry of mass of the triangular lamina.

    A
    Both 'A' and 'R' and true and 'R' is the correct explantation of 'A'
    B
    Both 'A' and 'R' and true and 'R' is not the correct explantation of 'A'
    C
    A' is true and 'R' is false
    D
    A' is false and 'R' is true

  • Statements : (a) Ration of the distance of the centre of mass of a two particle system are in the inverse ratio of their masses : (b) The location of the centre of mass is independent of the reference frame used locate it

    A
    Only a is true
    B
    Only b is true
    C
    Both a and b are true
    D
    Both a and b are false

    • Similar Questions

    Explore conceptually related problems

    No. of faces of a triangular pyramid

    Find the centre of mass of a uniform L-shaped lamina (a thin flat plate) with dimensions as shown. The mass of the lamina is 3 kg.

    A triangular, square and circular plate of same thickness and made up of different materials are arranged as shown in figure. Where does the centre of mass of the arrangement lie? (the ratio of their respective densities are 3(8 + pi) : 6 :1

    Find the position of centre of mass of carbon monoxide (CO) relative to carbon atom if the distance between the centre of the carbon and oxygen atoms is 1.130 xx 10^(-10) .

    Find out the location of centre of mass of a uniform rod.

    Under what conditions do the centre of mass and centre of gravity of a body coincide.

    Home
    Profile