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

Suppose lamina `DeltaLMN` be subdivided it into narrow strips each parallel to the base MN.
By symmetry each strip has its centre of mass at its midpoint. Joining the midpoint of all strips we get the median LP. The centre of mass of the triangle as a whole lie on the median LP. Similarly it lies on the medians, MQ and NR. Hence, the centre of mass lies on the point of concurrence of the medians, means on the centroid G of the triangle.
Promotional Banner

Topper's Solved these Questions

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    KUMAR PRAKASHAN|Exercise SECTION-B NUMERICALS FROM TEXTUAL EXERCISE|21 Videos

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    KUMAR PRAKASHAN|Exercise SECTION-B ADDITIONAL EXERCISE|12 Videos

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    KUMAR PRAKASHAN|Exercise SECTION-A (TRY YOURSELF (VSQs))|94 Videos

  • QUESTIONS ASKED IN JEE - 2020

    KUMAR PRAKASHAN|Exercise Question|16 Videos

  • THERMAL PROPERTIES OF MATTER

    KUMAR PRAKASHAN|Exercise Question Paper (Section - D) (Answer following in brief :) Each carry 4 marks|1 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 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 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) .

KUMAR PRAKASHAN-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-SECTION-B NUMERICALS
  1. Find the centre of mass of three particles at the vertices of an equil...

    Text Solution

    |

  2. Find the centre of mass of a triangular lamina.

    Text Solution

    |

  3. Find the centre of mass of a uniform L-shaped lamina (a thin flat plat...

    Text Solution

    |

  4. Find the scalar and vector products of two vectors. a = (3hati – 4hatj...

    Text Solution

    |

  5. Find the torque of a force 7hati + 3hatj – 5hatk about the origin. Th...

    Text Solution

    |

  6. Show that the angular momentum about any point of a single particle mo...

    Text Solution

    |

  7. Show that moment of a couple does not depend on the point about which ...

    Text Solution

    |

  8. A metal bar 70 cm long and 4.00 kg in mass supported on two knife-edge...

    Text Solution

    |

  9. A 3m long ladder weighing 20 kg leans on a frictionless wall. Its feet...

    Text Solution

    |

  10. What is the moment of inertia of a disc about one of its diameter?

    Text Solution

    |

  11. What is the moment of inertia of a rod of mass M, length l about an ax...

    Text Solution

    |

  12. What is the moment of inertia of a ring about a tangent to the circle ...

    Text Solution

    |

  13. Obtain equation omega=omega(0)+alphat from first principle.

    Text Solution

    |

  14. The angular speed of a motor wheel is increased from 1200 rpm to 3120 ...

    Text Solution

    |

  15. A cord of negligible mass is wound round the rim of a fly wheel of mas...

    Text Solution

    |

  16. Three bodies, a ring, a solid cylinder and a solid sphere roll down th...

    Text Solution

    |

  17. In DeltaABC, mass of 100g, located on point A, mass of 200 g located o...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. If veca=2hati-hatj-5hatk and vecb=hati+hatj+2hatk, then find scalar an...

    Text Solution

    |