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Distance of the centre of mass of a solid uniform cone from it

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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) $\frac{h ^{2}}{4 R}$
(b) $\frac{3 h}{4}$
(c) $\frac{5 h}{8}$
(d) $\frac{3 h ^{2}}{8 R}$

Views: 8,383 students

Updated on: Jan 7, 2023

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2015

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Jack Discussed

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)

\frac{h ^{2}}{4 R}

(b)

\frac{3 h}{4}

(c)

\frac{5 h}{8}

(d)

\frac{3 h ^{2}}{8 R}

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

E x p . (b)

We know that centre of mass of a uniform solid cone of height

h

is at height

h /4

from base, therefore
Solution Image

h - z_{0} = \frac{h}{4}

or,

z_{0} = h - \frac{h}{4} = \frac{3 h}{4}

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Question Text	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) $\frac{h ^{2}}{4 R}$ (b) $\frac{3 h}{4}$ (c) $\frac{5 h}{8}$ (d) $\frac{3 h ^{2}}{8 R}$
Updated On	Jan 7, 2023
Topic	System of Particles and Rotational Motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 6
Upvotes	617
Avg. Video Duration	8 min

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) $\frac{h ^{2}}{4 R}$
(b) $\frac{3 h}{4}$
(c) $\frac{5 h}{8}$
(d) $\frac{3 h ^{2}}{8 R}$

Text solutionVerified

Filo tutor solutions (6)

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Distance of the centre of mass of a solid uniform cone from its vertex is z0​. If the radius of its base is R and its height is h, then z0​ is equal to(a) 4Rh2​(b) 43h​(c) 85h​(d) 8R3h2​

Text solutionVerified

Filo tutor solutions (6)

Questions from JEE Mains 2015 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Practice questions from System of Particles and Rotational Motion in the same exam

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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) $\frac{h ^{2}}{4 R}$
(b) $\frac{3 h}{4}$
(c) $\frac{5 h}{8}$
(d) $\frac{3 h ^{2}}{8 R}$