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State whether the following statement ar...

State whether the following statement are true or false?
(i) The position of the centre of gravity of a body remains unchanged even when the body is deformed
(ii) The centre of gravity of a freely suspended body always lies vertically below the point of suspension.

Text Solution

AI Generated Solution

To determine whether the given statements are true or false, we will analyze each statement step by step. ### Step 1: Analyze the first statement **Statement (i):** The position of the centre of gravity of a body remains unchanged even when the body is deformed. 1. **Understanding the Centre of Gravity:** The centre of gravity (CG) of a body is the point where the total weight of the body can be considered to act. It depends on the distribution of mass within the body. 2. **Effect of Deformation:** When a body is deformed, its shape changes. This change in shape affects how the mass is distributed within the body. 3. **Conclusion for Statement (i):** Since the position of the CG is influenced by the shape and distribution of mass, if the shape changes due to deformation, the position of the CG will also change. Therefore, this statement is **False**. ...
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