First slide

Location of centre on mass for multiple point masses

Question

If the density of material of a square plate and a circular plate shown in is same, the centre of mass of the composite system will be

Moderate

A

Inside the square plate
B

Inside the circular plate
C

At the point of contact
D

Outside the system

Solution

Mass of square plate $M_{1} = l^{2} σ$
Mass of circular disc $M_{2} = (π \frac{l^{2}}{4}) σ$
$α_{cm} = \frac{M_{1} \times 0 + \frac{{πl}^{2} σl}{4}}{l^{2} σ [1 + \frac{π}{4}]} \Rightarrow x_{cm} = \frac{πl}{4 \frac{(π + 4)}{4}} = \frac{πl}{π + 4}$
$x_{cm} < \frac{l}{2}, i . e ., C . O . M . lies in the square$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App