In the figure given below, the beam will be stable only if -

This question was previously asked in

UPPCL JE CE Offical Paper I 2014

- x = √2y
- x = 2y
- √2x = y
- 2x = y

Option 3 : √2x = y

Free

CT 1: Ratio and Proportion

2672

10 Questions
16 Marks
30 Mins

**Concept-**

For a system to be in stable condition, it should be in stable equilibrium.

So to be in stable equilibrium the moment about the support point should be zero.

∑ M_{B} = 0

\(⇒ 2W \times x \times \dfrac{x}{2} = W \times y \times \dfrac{y}{2}\)

\(⇒ x^2 = \dfrac{y^2}{2}\)

⇒ y^{2} = 2x^{2}

**⇒ y = √2 x**

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