Question 51: Centre of Mass and Rotational Motion

Question

A rod of length 5 L is bent right angle keeping one side length as 2 L .
The position of the centre of mass of the system :
(Consider $\mathrm{L}=10 \mathrm{~cm}$)
![](https://app-content.cdn.examgoal.net/fly/@width/image/jaoe38c1m9fpa0mh/ad0930d5-08bd-4ee0-a525-83a736d43740/f68d6990-186d-11f0-b1df-d17b9d131225/file-jaoe38c1m9fpa0mi.png?format=png)

Accepted Answer

$\begin{aligned}
& \mathrm{x}_{\mathrm{com}}=\frac{2 \mathrm{~m}(10)+3 \mathrm{~m}(0)}{5 \mathrm{~m}}=4 \mathrm{~cm} \
& \mathrm{y}_{\mathrm{com}}=\frac{2 \mathrm{~m}(0)+3 \mathrm{~m}(15)}{5 \mathrm{~m}}=9 \mathrm{~cm} \
& \overrightarrow{\mathrm{r}}_{\mathrm{com}}=4 \hat{\mathrm{i}}+9 \hat{\mathrm{j}}
\end{aligned}$
![](https://app-content.cdn.examgoal.net/fly/@width/image/jaoe38c1m9l61tfd/b1d6aef7-cb4b-422e-b181-c12006142166/78f64290-1b6f-11f0-bbff-0f04539847fe/file-jaoe38c1m9l61tfe.png?format=png)

Answer

$4 \hat{i}+9 \hat{j}$

Answer

$2 \hat{i}+3 \hat{j}$

Answer

$5 \hat{i}+8 \hat{j}$

Answer

$3 \hat{i}+7 \hat{j}$

Centre of Mass and Rotational Motion

A rod of length 5 L is bent right angle keeping one side length as 2 L . The position of the centre of mass of the system : (Consider \mathrm{L}=10 \mathrm{~cm})

Choose the correct answer: