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What type of motion is observed in a rigid body which is pivoted at the centreof mass?

Question

What type of motion is observed in a rigid body which is pivoted at the centre of mass?

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Solution

The type of motion observed in a rigid body that is pivoted at the center of mass is rotational motion.

Here are the steps to understand why:

  1. A rigid body is an object with a shape that does not change, meaning the distance between any two given points in the object remains constant.

  2. When a force is applied to a rigid body, it can cause the body to move. The type of motion depends on where the force is applied and where the body is pivoted.

  3. If the body is pivoted at the center of mass, the force will cause the body to rotate around this pivot point. This is because the center of mass is the point where the body balances, and it is the point about which the torque due to gravity is zero.

  4. This type of motion is called rotational motion. In rotational motion, all points in the body move in circles around the axis of rotation (which, in this case, is the pivot point at the center of mass).

  5. The speed of the rotation depends on the magnitude of the force and the distribution of mass in the body. The further away the mass is from the pivot point, the slower it will rotate, and vice versa.

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