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 L = 10 cm)

(1) \(2 \hat i + 3 \hat j\)

(2) \(3 \hat i + 7 \hat j\)

(3) \(5 \hat i + 8 \hat j\)

(4) \(4\hat i + 9 \hat j\)

Answer 1

Correct option is : (4) \(4\hat i + 9 \hat j\)

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

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

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