The velocities of three particles of masses $20 \ g$,$30 \ g$ and $50 \ g$ are $10 \hat{i}$,$10 \hat{j}$ and $10 \hat{k}$,respectively. The velocity of the centre of mass of the three particles is
- A$2 \hat{i} + 3 \hat{j} + 5 \hat{k}$
- B$10(\hat{i} + \hat{j} + \hat{k})$
- C$20 \hat{i} + 30 \hat{j} + 50 \hat{k}$
- D$2 \hat{i} + 30 \hat{j} + 50 \hat{k}$
Explore More
Similar Questions
The integral $\int \vec{r} dm = 0$ for a homogeneous body is defined for which point?
Easy
View SolutionThe masses and positions (in rectangular coordinates) of four particles are as follows: $1 \ kg$ at $(a, a)$,$2 \ kg$ at $(-a, a)$,$3 \ kg$ at $(-a, -a)$,and $4 \ kg$ at $(a, -a)$. The position vector of the centre of mass of the system of four particles is:
The 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:
DifficultJEE MAIN 2015
View SolutionThe centre of mass of two thin uniform rods of the same length $L$ but made of different materials and kept as shown in the figure can be,if the meeting point is the origin of coordinates:
Difficult
View SolutionObtain an expression for the position vector of the centre of mass of a system of $n$ particles in two dimensions.
Difficult
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo