Home
Class 11
PHYSICS
Distance of the centre of mass of a soli...

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_0` is equal to:

A

`(5h)/(8)`

B

`(3h^2)/(8R)`

C

`(h^2)/(4R)`

D

`(3h)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
(d) `Y_(cm) = (int ydm)/(intdm)`
`=(int_0^h pir^2dy rhoxxy)/((1)/(3))piR^2h rho = (3h)/(4)`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise MCQs with one correct answer|1 Videos

  • MOTION

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise JEE Main And Advanced|63 Videos

  • SIMPLE HARMONIC MOTION

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise JEE Main And Advanced|69 Videos

Similar Questions

Explore conceptually related problems

The radius of base of a cone is r and height is h. Find its volume.

The radius of a circular cone is R and its height is H. The volume of cone is :

The distance of the centre of mass of a hemispherical shell of radius R from its centre is

The centre of mass of a solid cone along the line form the center of the base to the vertex is at

Find the volume of a cone, if the radius of its base is 1.5 cm and its perpendicular height is 5 cm.

The total surface area of a cone is 704 cm^(2) and the radius of its base is 7 cm . Find its slant height .

Find the curved surface area of a cone,if its slant height is 60cm and the radius of its base is 21cm.

Find the distance of centre of mass of a uniform cone of height 'h' and base radius R, from the vertex on the line of symmetry .