Centre of Mass 1 Question 7

7. 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

(2015 Main)

(a) $\frac{3 h}{4}$

(b) $\frac{h^{2}}{4 R}$

(c) $\frac{5 h}{8}$

(d) $\frac{3 h^{2}}{8 R}$

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Answer:

Correct Answer: 7. (a)

Solution:

  1. Centre of mass of uniform solid cone of height $h$ is at a height of $\frac{h}{4}$ from base. Therefore from vertex it’s $\frac{3 h}{4}$.


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