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Question

(i) Centre of gravity (C.G.) of a body is the point at which the weight of the body acts
(ii) Centre of mass coincides with the centre of gravity if the earth is assumed to have infinitely large radius
(iii) To evaluate the gravitational field intensity due to any body at an external point, the entire mass of the body can be considered to be concentrated at its C.G.
(iv) The radius of gyration of any body rotating about an axis is the length of the perpendicular dropped from the C.G. of the body to the axis
Which one of the following pairs of statements is correct ?

  1. (iv) and (i)
  2. (i) and (ii)
  3. (ii) and (iii)
  4. (iii) and (iv)

A
(i) and (ii)
B
(iii) and (iv)
C
(iv) and (i)
D
(ii) and (iii)
Solution
Verified by Toppr

Centre of gravity (C.G.) of a body is the point at which the weight of the body acts
The radius of gyration of any body rotating about an axis is the length of the perpendicular dropped from the C.G. of the body to the axis

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Similar Questions
Q1
(i) Centre of gravity (C.G.) of a body is the point at which the weight of the body acts
(ii) Centre of mass coincides with the centre of gravity if the earth is assumed to have infinitely large radius
(iii) To evaluate the gravitational field intensity due to any body at an external point, the entire mass of the body can be considered to be concentrated at its C.G.
(iv) The radius of gyration of any body rotating about an axis is the length of the perpendicular dropped from the C.G. of the body to the axis
Which one of the following pairs of statements is correct ?

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Q2
Which of the following statements are correct?
a) Centre of mass of a body always coincides with the centre of gravity of the body.
b) Centre of mass of a body is the point at which the total gravitational torque on the body is zero.
c) A couple on a body produce both translational and rotation motion in a body.
d) Mechanical advantage greater than one means that small effort can be used to lift a large load.
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Q3
Which of the following statements are correct?
1. Centre of mass of a body always coincides wiith the centre of gravity of the body.
2. Centre of gravity of a body is the point where total gravitational torque on the body is zero.
3. A couple on a body produces both translational and rotational motion in a body.
4. Mechanical advantage greater than one means that a small effort can be used to lift a large load.
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Q4
Centre of gravity is the point at which all the weight of the body can be assumed to act.
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Q5
Assertion :The mass of a body cannot be considered to be concentrated at the centre of mass of the body for the purpose of computing its moment of inertia. Reason: Then the moment of inertia of every body about an axis passing through its centre of mass would be zero.
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