(a) Centre of gravity (C.G.) of a body is the | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The Centre of Gravity $(C.G.)$ is defined as the point where the total gravitational force (weight) of the body acts.$(b)$ The Centre of Mass $(C.

Vedclass · Accepted Answer

$(a)$ and $(b)$

Vedclass · Answer

(B) The Centre of Gravity $(C.G.)$ is defined as the point where the total gravitational force (weight) of the body acts.$(b)$ The Centre of Mass $(C.M.)$ and $C.G.$ coincide if the gravitational field is uniform. If the Earth has an infinitely large radius,the gravitational field is uniform,so $(b)$ is correct.$(c)$ For a spherically symmetric body,the mass can be considered concentrated at the $C.G.$ for external gravitational field calculations. However,this is not true for all arbitrary bodies. In the context of standard physics problems,$(a)$ and $(b)$ are the most fundamentally correct statements regarding definitions.$(d)$ The radius of gyration $k$ is defined by $I = mk^2$,where $I$ is the moment of inertia. It is not simply the perpendicular distance from the $C.G.$ to the axis.

Similar Questions

Two objects of masses $200 \text{ g}$ and $500 \text{ g}$ possess velocities $10 \hat{i} \text{ m/s}$ and $(3 \hat{i} + 5 \hat{j}) \text{ m/s}$ respectively. The velocity of their centre of mass in $\text{m/s}$ is:

The distance between the carbon atom and the oxygen atom in a carbon monoxide molecule is $1.1 \ \mathring{A}$. Given,mass of carbon atom is $12 \ a.m.u.$ and mass of oxygen atom is $16 \ a.m.u.$,calculate the position of the center of mass of the carbon monoxide molecule.

For a body,the center of volume is defined as $\frac{\int \vec{r} \, dV}{\int dV}$ over the complete body,where $dV$ is a small volume element of the body and $\vec{r}$ is the position vector of that small volume from the origin. Which of the following statements is correct?

Find the centre of mass of a triangular lamina.

Where will the centre of mass be located when combining two masses $m$ and $M$ $(M > m)$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module