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Centre Of Mass Of Solid Hemisphere - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
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4 Questions around this concept.
Solve by difficulty
A solid hemisphere (A) and a hollow hemisphere (B) Each having mass M are placed as shown in diagram.What is the y-coordinate
of the centre of mass of system
As shown in figure
So on increasing its volume uniformly, its COM will
A hollow body as shown in figure consist of right circular portion attached to a hemisphere portion of Radius R. Determine the height H of cone if the centre of mass of the composite body considers with the centre O of the circular base (Take
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Concepts Covered - 1
Position of centre of mass for solid Hemisphere
Have a look at the figure of solid Hemisphere
Since it is symmetrical about y-axis
So we can say that its
Now we will calculate its
So Take a small elemental hollow hemisphere of mass
Now have a look on elemental hollow hemisphere of mass dm of radius r
Since our element mass is hollow hemisphere so its C.O.M is at (r/2)
Now
Where,
So
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