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.
Promotional Banner

Topper's Solved these Questions

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    NCERT GUJARATI|Exercise EXERCISES|31 Videos

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

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

  • PHYSICAL WORLD

    NCERT GUJARATI|Exercise EXERCISES|8 Videos

  • THERMAL PROPERTIME OF MATTER

    NCERT GUJARATI|Exercise EXERCISES|31 Videos

Similar Questions

Explore conceptually related problems

Define centre of mass.

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.

Find the centre of mass of uniform thin sheet as shown in figure.

Find the centre of mass of a uniform : (a) half-disc, (b) quarter-disc.

Find the centre of mass of uniform thin sheet as shown in figure.

Find the centre of mass of three particles at the vertices of an equilateral triangle. The masses of the particles are 100g, 150g, and 200g respectively. Each side of the equilateral triangle is 0.5m long.

The centre of mass of a ring of uniform mass distribution lies ………….

To find the centre of mass of rigid body why it is not possible to know Sigmam_(i)vec(r_(i)) for all the particles?

The particles of mass m_(1),m_(2) and m_(3) are placed on the vertices of an equilateral triangle of sides .a.. Find the centre of mass of this system with respect to the position of particle of mass m_(1) .