Two particles of mass 1 kg and 3 kg have position vectors 2 î+3 ĵ+4 k̂ and -2 î+3 ĵ-4 k̂ respe

Name: Problem 9, Chapter 7: Objective NCERT at your FINGERTIPS: Physics
Uploaded: 2021-09-27T14:26:22-08:00
Duration: 1 min 37 s
Channel: Dheeraj Sharma
Description: Two particles of mass 1 kg and 3 kg have position vectors 2 î+3 ĵ+4 k̂ and -2 î+3 ĵ-4 k̂ respectively. The centre of mass has a position vector (a) î+3 ĵ-2 k̂ (b) -î-3 ĵ-2 k̂ (c) -î+3 ĵ+2 k̂ (d) -î+3 ĵ-2 k̂

step 1 In this question, we have given two particles of masses 1 kg and 3 kg and we have given their po

Question

Two particles of mass $1 \mathrm{~kg}$ and $3 \mathrm{~kg}$ have position vectors $2 \hat{i}+3 \hat{j}+4 \hat{k}$ and $-2 \hat{i}+3 \hat{j}-4 \hat{k}$ respectively. The centre of mass has a position vector (a) $\hat{i}+3 \hat{j}-2 \hat{k}$ (b) $-\hat{i}-3 \hat{j}-2 \hat{k}$ (c) $-\hat{i}+3 \hat{j}+2 \hat{k}$ (d) $-\hat{i}+3 \hat{j}-2 \hat{k}$

   Two particles of mass $1 \mathrm{~kg}$ and $3 \mathrm{~kg}$ have position vectors $2 \hat{i}+3 \hat{j}+4 \hat{k}$ and $-2 \hat{i}+3 \hat{j}-4 \hat{k}$ respectively.
The centre of mass has a position vector
(a) $\hat{i}+3 \hat{j}-2 \hat{k}$
(b) $-\hat{i}-3 \hat{j}-2 \hat{k}$
(c) $-\hat{i}+3 \hat{j}+2 \hat{k}$
(d) $-\hat{i}+3 \hat{j}-2 \hat{k}$

Objective NCERT at your FINGERTIPS: Physics

NCERT 11th Edition

Chapter 7, Problem 9

Instant Answer

Solved by Expert Dheeraj Sharma

09/27/2021

Step 1

The position vectors of these particles are $\vec{r_1} = 2 \hat{i}+3 \hat{j}+4 \hat{k}$ and $\vec{r_2} = -2 \hat{i}+3 \hat{j}-4 \hat{k}$ respectively. Show more…

Show all steps

Thanks for your feedback!

Two particles of mass $1 \mathrm{~kg}$ and $3 \mathrm{~kg}$ have position vectors $2 \hat{i}+3 \hat{j}+4 \hat{k}$ and $-2 \hat{i}+3 \hat{j}-4 \hat{k}$ respectively. The centre of mass has a position vector (a) $\hat{i}+3 \hat{j}-2 \hat{k}$ (b) $-\hat{i}-3 \hat{j}-2 \hat{k}$ (c) $-\hat{i}+3 \hat{j}+2 \hat{k}$ (d) $-\hat{i}+3 \hat{j}-2 \hat{k}$

Play audio

Feedback

Dheeraj Sharma and 63 other subject Physics 101 Mechanics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Center of Mass

The center of mass is the point at which the total mass of a system can be considered to be concentrated, especially when analyzing translational motion. It is a key concept in mechanics that simplifies the study of the motion of objects by representing the entire system as a single point with an effective mass.

Weighted Average

Calculating the center of mass involves taking a weighted average of the position vectors of all the individual masses in the system. Each mass is used as a weighting factor to ensure that larger masses have a more significant influence on the final position of the center of mass.

Position Vectors

Position vectors are used to represent the locations of particles in a coordinate system. In problems involving the center of mass, they enable a clear and precise way to account for both the magnitude and direction of the individual positions of the masses within the system.

Please give Ace some feedback