A uniform meter scale of weight W is kept in equilibrium when supported at the 60-cm mark and a mass m nbsp-of weight w is suspended at nbsp-90-cm mark as shown in the figure- nbsp-Which of the following is true- W lt- w-W nbsp- gt- w-Data insufficient-W - nbsp-w-

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Comparison of Uniform Circular Motion and Uniform Linear Motion

A uniform met...

Question

A uniform meter scale of weight $W$ is kept in equilibrium when supported at the $60 c m$ mark and a mass m of weight w is suspended at $90 c m$ mark as shown in the figure. Which of the following is true?

$W$ = w

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$W$ < w

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$W$ > w

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Data insufficient

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Solution

The correct option is C
$W$ > w

Weight (let $W$ ) of the meter scale will be acting at its mid-point, i.e., at $50 c m$ mark.

Therefore, by the principle of moments: $W \times (60 - 50) c m = w \times (90 - 60) c m$ or $10 W = 30 w$
or $W = 3 w$

Therefore, weight $W$ of the scale is greater than the weight $w$ of the suspended mass m.

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A uniform meter scale of weight W is kept in equilibrium when supported at the 60 cm mark and a mass m of weight w is suspended at 90 cm mark as shown in the figure. Which of the following is true?

The correct option is C W > w Weight (let W) of the meter scale will be acting at its mid-point, i.e., at 50 cm mark. Therefore, by the principle of moments: W×(60−50)cm=w×(90−60)cmor 10 W=30w or W=3w Therefore, weight W of the scale is greater than the weight w of the suspended mass m.

A uniform meter scale of weight $W$ is kept in equilibrium when supported at the $60 c m$ mark and a mass m of weight w is suspended at $90 c m$ mark as shown in the figure. Which of the following is true?