Question

Two sphere of mass 2kg and 3kg have there centre 50cm apart find the centre. Find the centre of mass of this system.

Pls solve this question.
pls solve of you know the answer... ​

Answer 1

Given:

Two sphere of mass 2kg and 3kg have there centre 50cm apart find the centre.

To find:

Centre of mass of system ?

Calculation:

Let's assume that the spheres have been placed in coordinate system as follows:

• 2 kg at origin (0,0)
• 3 kg at (50,0)

Now, let centre of mass be $\bar{x}$:

$\bar{x} = \dfrac{ \sum(m_{i} x_{i} )}{ \sum( m_{i}) }$

$\implies \bar{x} = \dfrac{ (2 \times 0) + (3 \times 50)}{ 2 + 3 }$

$\implies \bar{x} = \dfrac{150}{ 5 }$

$\implies \bar{x} = 30 \: cm$

So, centre of mass is at coordinates (30,0) , i.e. 30 cm from 2 kg and (50-30) = 20 cm from 3 kg.