A rod of length 5L is bent right angle keeping one side length as 2L. The position of the centre of mass of the system: (Consider L = 10 cm) [2025]

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Solution

Q.
A rod of length 5L is bent right angle keeping one side length as 2L. The position of the centre of mass of the system: (Consider L = 10 cm) [2025]

1 $2 \hat{i} + 3 \hat{j}$

2 $3 \hat{i} + 7 \hat{j}$

3 $5 \hat{i} + 8 \hat{j}$

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

Ans.
(4)

$x_{com} = \frac{2 m (10) + 3 m (0)}{5 m} = 4 cm$

$y_{com} = \frac{2 m (0) + 3 m (15)}{5 m} = 9 cm$

${\vec{r}}_{com} = (4 \hat{i} + 9 \hat{j}) cm$

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