1.

Distance of the centre of mass of a solid uniform cone from its vertex is z_0 . If the radius of its base is R and its height is h then z_0is equal to:

Answer»

`b^(2)/(4R)`
`(3B)/(4)`
`(5h)/8`
`(3H^(2))/(8R)`

Solution :Mass of elementary disc,
`DM = pir^(2)` dze

`r/R = z/h rArr r =(Rz)/h`
`Z_(0) =(int zdm)/(int dm) =(int_(0)^(h) pi r^(2) dzez)/(1/3 pi R^(2) he) = 3/4 h`


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