First slide

Location of centre on mass for multiple point masses

Question

In the arrangement shown, co-ordinates of L-Shaped sheet are

Easy

A

$\frac{13}{5} c m, \frac{15}{8} c m$
B

$\frac{17}{11} c m, \frac{17}{11} c m$
C

$\frac{7}{2} c m, \frac{7}{2} c m$
D

$\frac{19}{14} c m, \frac{19}{14} c m$

Solution

(4)
$\begin{array}{l} A_{1} = 4 \times 1 c m^{2} = 4 c m^{2} \\ x_{1} = \frac{1}{2} c m, y_{1} = 2 c m \\ A_{2} = 3 \times 1 c m^{2} = 3 c m^{2} \\ x_{2} = 1 + \frac{3}{2} c m = \frac{5}{2} c m, y_{2} = \frac{1}{2} c m \\ ∴ x_{C} = \frac{A_{1} x_{1} + A_{2} x_{2}}{A_{1} + A_{2}} = \frac{4 \times \frac{1}{2} + 3 \times \frac{5}{2}}{4 + 3} c m \\ x_{C} = \frac{19}{14} c m \\ y_{C} = \frac{A_{1} y_{1} + A_{2} y_{2}}{A_{1} + A_{2}} = \frac{4 \times 2 + 3 \times \frac{1}{2}}{4 + 3} c m = \frac{19}{14} c m . \end{array}$

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