Center of Mass, Momentum & Collision

JEE Main level, numerical answer, medium

54 of 130

Question 54 of 130

The centre of mass of a solid hemisphere of radius 8cm8cm is xcmxcm from the centre of the flat surface. Then value of xx is

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Answer: 3

Centre of Mass of a solid hemisphere from centre of the flat surface is given by,hcm=3R8{h}_{cm}=\dfrac{3R}{8}
It is given that R=8cmR=8cm
Therefore,
x=hcm=3R8=3×88x=3cmx={h}_{cm} =\dfrac{3R}{8} =\dfrac{3\times 8}{8} x=3cm

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