Question

The spheres of masses 2 kg and 4 kg are situated at the opposite ends of wooden bars of length 9 m. Where does the centre of mass of the system will ______.

Options

• 6 m from 2 kg sphere

• 2 m from 4 kg sphere

• 3 m from 2 kg sphere

• 6 m from 4 kg sphere

Answer 1

The spheres of masses 2 kg and 4 kg are situated at the opposite ends of wooden bars of length 9 m. Where does the centre of mass of the system will 6 m from the 2 kg sphere.

Explanation:

Let 2 kg mass be placed at x = 0, therefore 4 kg mass will be situated at x = 9.

Therefore, x_COM = `(m_1x_1 + m_2x_2)/(m_1 + m_2) = (0 + 4 xx 9)/(2 + 4) = 36/6` = 6 m

Thus, the centre of mass will be situated at 6 m from 2 kg mass.