Physics
Pavel took an earthen pot which was filled with water up to its brim. The earthen pot was conical in shape and kept with its apex in downward direction.
(a) If the vertical height of the earthen pot is 12 cm, where does its centre of gravity lie?
(b) Pavel poured out all the water from the pot. How will its centre of gravity shift towards the open end or towards its apex?
(c) Pavel wanted to grow a plant in the given pot. So, he filled it completely again with some soil. What will be the new position of its centre of gravity?
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Answer
(a) Centre of gravity of solid cone = cm from the base
= cm from the base
= 3 cm from the base
= 12 - 3 = 9 cm from the apex
∴ Centre of gravity lies 3 cm from the base or 9 cm from the apex.
(b) Centre of gravity of hollow cone = cm from the base
= cm from the base
= 4 cm from the base
∴ Centre of gravity shifts towards the apex.
(c) Since the mass distribution is uniform and the body behaves like a solid cone, the center of mass will remain at its original position i.e., 3 cm from the base or 9 cm from the apex.
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