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C.O.M OF HOLLOW HEMISPHERE | SOLID HEMIS...

C.O.M OF HOLLOW HEMISPHERE | SOLID HEMISPHERE | SOLID CONE

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Two solid hemispheres of radii R and (R )/(2) with centers O and O' respectively as shown in figure. The density of bigger hemisphere is rho and that of smaller hemisphere is 2rho . Taking center of bigger hemisphere is at origin and the distance between centres of two hemisphere OO' is (R)/(10) find co - ordinates of center of mass of the system.

A right circular cone of radius R and height 2 R is placed on a hemisphere of radius R . Locate c.m. of the combined mass from O .

A solid hemisphere and a hemisphereical shell are joined as shown. Both of them has mass m//2 individually. Find out moment of inertia about axis I_(1),I_(2) .

A metallic hemisphere is melted and recast in the shape of a cone with the same base radius R as that of the hemisphere.If H is the height of the cone,then write the value of H/R .