Question

How to find centre of mass when body is in motion?? (I want full explanation) Report allowed​

Answer 1

Whenever we talk about motion of an object, we usually talk about velocity with which the object is moving or the acceleration with which the object is moving. As we know the centre of mass is denoted by x and y.

X= mi xi /M

Y = mi yi /M

X = Σ mixi

Y = Σ miyi

The position vector of the centre of mass can be written as

Σ miriM

⇒ m1 r1 + m2 r2 +………. +mnrn

Differntiating on both the sides,

M drdt = M1 dr1dt + M2 dr2dt + Mn drndt

Change of displacement of time is the velocity.

mv = m1 v1 + m2v2 +……….. mnvn

where v1 is the velocity of the particle and v = drdt is the velocity of centre of mass.

V = Σ miviM

This is an expression for velocity of centre of mass.

Answer 2

$\huge\bf{Answer:-}$

Yes

Explanation:

Refer the attachment.