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2. “The centre of gravity of a body may not be necessarily on the body”. Justify.

Question

  1. “The centre of gravity of a body may not be necessarily on the body”. Justify.
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Solution

The statement "The centre of gravity of a body may not be necessarily on the body" is indeed correct. Here's why:

  1. The center of gravity is the point where the weight of an object is evenly dispersed and all sides are in balance. It's the average location of the weight of an object.

  2. For a uniform solid object, the center of gravity is at the geometric center. For instance, the center of gravity of a solid cube or sphere is at its geometric center.

  3. However, for irregularly shaped or non-uniform density objects, the center of gravity may not be on the object itself. A classic example is a donut or a ring. The center of gravity is at the geometric center, which is an empty space not occupied by the material of the object.

  4. Similarly, for a hollow object, the center of gravity is in the space enclosed by the object, not in the material of the object itself.

  5. Also, in a system of objects, like a solar system or a molecular structure, the center of gravity may not be on any of the objects themselves, but somewhere in the space between them.

So, the center of gravity is not necessarily on the body itself, it depends on the shape and density distribution of the object.

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13. Which one of the following accurately describes the force of gravity? A. The gravity acceleration is in the same direction as the force of gravity, and thus away from the center of the earth. B. The force of gravity is slightly lower at the bottom of a mountain than it is at the top. C. The gravity acceleration has no effect on a body moving in directly the opposite direction of the force of gravity. D. The gravity acceleration is in the same direction as the force of gravity, and thus toward the center of the earth.

Give an example each for a body, where the centreof mass lies inside the body and outside the body.

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