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Find the centre of mass of a uniform tri...

Find the centre of mass of a uniform triangula lamina.

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To find the center of mass of a uniform triangular lamina, we can follow these steps: ### Step 1: Understand the Geometry of the Triangle We start by considering a uniform triangular lamina with vertices A, B, and C. For simplicity, we can place the triangle in a coordinate system. Let’s assume: - Vertex A is at (0, 0) - Vertex B is at (b, 0) - Vertex C is at (c, h) where c is the x-coordinate of vertex C and h is the height of the triangle. ...
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Knowledge Check

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

    A
    `(1, 1)`
    B
    `((3)/(2), (1)/(2))`
    C
    `((5)/(6), (5)/(6))`
    D
    `((3)/(2), (3)/(2))`
  • PRADEEP-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-SOLVED EXAMPLES
    1. Find the centre of mass of a uniform triangula lamina.

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    2. Find the centre of mass of three particle at the vertices of an equila...

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

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    4. Find the position of centre of mass of the T-shaped plate from O, in F...

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    5. From a uniform circular disc of radius R, a circular disc of radius R/...

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    6. A circular plate of uniform thickness has a diameter fo 56cm. A circul...

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    7. Determine the coordinates of the centre of mass of a right circular so...

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    8. A uniform thin rod of length 3 L is bent at right angles at a distance...

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    9. A man of mass m(1) is standing on a platform of mass m(2) kept on a sm...

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    10. A torque of 10^(3) N-m acting on a rigid body, turns it throughr 30^(@...

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    11. A constant torque is acting on a wheel. If starting from rest, the whe...

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    12. A torque of 20 N-m is applied on a wheel initially at rest. Calculate ...

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    13. Show that angular momentum of a satellite of mass M(s) revolving aroun...

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    14. Calculate angular momentum to Neptune about the sun. Given, mass of ne...

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    15. At any instant,overset rarr(F) = (4.0 hatj)N acts on a 0.25kg object t...

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    16. A small particle of mass m is projected at an angle theta with x-axis ...

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    17. A car of mass 2500 kg is moving in a circular track of diameter 100m w...

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    18. The radius of a wheel of car is 0.4m. The car is accelerated from rest...

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    19. A flywheel rotating at a speed of 600 rpm about its axis is brough to...

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    20. Obtain the equation omega = omega(0) alpha t from first principles.

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