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System of Particles and Rotational Motion

Centre of mass

Two particles of masses 1 {~kg} and 2 {~kg} are located at x=0

Question

Easy

Solving time: 2 mins

Two particles of masses $1 kg$ and $2 kg$ are located at $x = 0$ and $x = 3 m .$ Find the position of their centre of mass.

Views: 5,556 students

Updated on: Dec 20, 2022

Book:

Mechanics Volume 2 (DC Pandey)

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Mia Discussed

Two particles of masses

1 kg

and

2 kg

are located at

x = 0

and

x = 3 m .

Find the position of their centre of mass.

13 mins ago

Discuss this question LIVE

13 mins ago

Text solutionVerified

Since, both the particles lie on

x

-axis, the COM will also lie on

x

-axis. Let the COM is located at

x = x

, then

r_{1} =

distance of COM from the particle of mass

1 kg = x

and

r_{2} =

distance of COM from the particle of mass

2 kg

= (3 - x)

Using

\frac{r _{1}}{r _{2}} = \frac{m _{2}}{m _{1}}

\frac{x}{3 - x} = \frac{2}{1}

x = 2 m

Thus, the COM of the two particles is located at

x = 2 m

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Question Text	Two particles of masses $1 kg$ and $2 kg$ are located at $x = 0$ and $x = 3 m .$ Find the position of their centre of mass.
Updated On	Dec 20, 2022
Topic	System of Particles and Rotational Motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 3
Upvotes	417
Avg. Video Duration	10 min

Two particles of masses $1 kg$ and $2 kg$ are located at $x = 0$ and $x = 3 m .$ Find the position of their centre of mass.

Text solutionVerified

Filo tutor solutions (3)

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Two particles of masses 1 kg and 2 kg are located at x=0 and x=3 m. Find the position of their centre of mass.

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Two particles of masses $1 kg$ and $2 kg$ are located at $x = 0$ and $x = 3 m .$ Find the position of their centre of mass.