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Question
A uniform square plate has a small piece Q of an irregular shape removed and glued to the centre of the plate leaving a hole behind figure. The CM of the plate is now in the following quadrant of x-y plane ______.
Options
I
II
III
IV
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Solution
A uniform square plate has a small piece Q of an irregular shape removed and glued to the centre of the plate leaving a hole behind figure. The CM of the plate is now in the following quadrant of x-y plane III.
Explanation:
Consider the adjacent diagram, there is a line shown in the figure drawn along the diagonal. First, the centre of mass of the system was on the dotted line and was shitted towards Q from the centre (Ist quadrant).
When the mass is removed, it will be on the same line but shifted away from the centre and below (IIIrd quadrant). The position of CM is shown by X in the diagram.
