Question

A uniform meter scale balances horizontally on a knife edge placed at 55 cm mark. When a mass of 25 g is supported from one end, then the mass of the scale is ______.

Options

• 200 g

• 225 g

• 350 g

• 275 g

Answer 1

 uniform meter scale balances horizontally on a knife edge placed at 55 cm mark. When a mass of 25 g is supported from one end, then the mass of the scale is 225 g.

Explanation:

As the metre scale is balanced at 55 cm mark, i.e., long arm is balanced by arm BC and 25 g is suspended at one end. i.e.. at 100 cm mark.

Anticlockwise moment = Clockwise moment

W × (55 - 50) = 25 (100 - 55)

W × 5 = 25 × 45

W = \[\frac{25\times45}{5}\] = 225 g