A cantilever type gate hinged at Q is shown in the figure.

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A cantilever type gate hinged at Q is shown in the figure. P and R are the centers of gravity of the cantilever part and the counterweight respectively. The mass of the cantilever part is 75 kg. The mass of the counterweight, for static balance, is

1. 75 kg
2. 150 kg
3. 225 kg
4. 300 kg

Correct Option: D

For balancing the moments about the hinge Q,
75 × 2 = m_R × 0.5
⇒ m_R = 300 kg