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A circular plate of diameter 'a' is kept...

A circular plate of diameter `'a'` is kept in contact with a square plate of side a as shown. The density of the material and the thickness are same everywhere. The centre of mass of composite system will be

A

Inside the circular plate

B

Inside the square plate

C

At the point of contact

D

Outside the system

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Knowledge Check

  • A circular plate of diameter a is kept in contact with a square plate of edge a as shown. The density of the material and the thickness are same everywhere. The centre of mass of the composite system will be

    A
    inside the circular plate
    B
    inside the square plate
    C
    at the point of contact
    D
    outside the system
  • How many circular plates of diameter d be taken out of a square plate of side 2d with minimum loss of material?

    A
    8
    B
    6
    C
    5
    D
    2
  • An arrow sign is made by cutting and rejoining a quarter part of a square plate of side 'L' as shown. The distance OC, where C is the centre of mass of the arrow, is

    A
    `(L)/(3)`
    B
    `(L)/(4)`
    C
    `(3L)/(8)`
    D
    None of these
  • AAKASH INSTITUTE-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-Assignment (Section - A) Objective Type Questions (One option is correct)
    1. A circular plate of diameter 'a' is kept in contact with a square plat...

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    2. A man of mass m is suspended in air by holding the rope of a ballon of...

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    3. From a uniform square plate, one-fourth part is removed as shown. The ...

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    5. A particle of mass m is thrown horizontally from the top of a tower an...

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    6. A child is standing at one end of a long trolley moving with a speed v...

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    7. A man of mass m moves on a plank of mass M with a constant velocity u...

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    8. Two blocks of masses 5kg and 2kg are connected by a spring of negligib...

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    9. A body falling vertically downwards under gravity breaks in two parts ...

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    10. A body at rest breaks into two pieces of equal masses. The parts will ...

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    11. Let I(A) and I(B) be moments of inertia of a body about two axes A and...

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    12. The moment of inertia of a cylinder of mass 1000gm and radius 20cm abo...

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    13. The angular momentum changes from 4 unit to 10 unit in 2 seconds. The ...

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    14. A constant torque of 400Nm turns a wheel of moment of inertia 100kg m^...

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    15. The masses of two uniform discs are in the ratio 2 : 1 and their radii...

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    16. If the torque acting on a system is zero then, which of the followin q...

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    18. A rigid body of moment of inertia l has an angular acceleration alpha....

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    19. A flywheel rotates about a fixed axis and slows down from 300 r.p.m to...

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    20. A body starting from rest gains an angular speed of 540 r.p.m in 6 sec...

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