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Standard VI

Mathematics

Word Problems

A metal rod o...

Question

A metal rod of uniform thickness and of length $1 m$ is suspended at its $25 c m$ division with the help of a string. The rod remains horizontally straight when a block of mass $2 k g$ is suspended to the rod at its $10 c m$ division from same end. The mass of the rod is:

0.4 k g

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0.8 k g

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1.2 k g

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1.6 k g

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Solution

The correct option is C $1.2 k g$
Torques balance each other
$\Rightarrow m g (25) = 2 g (15)$
15cm is a distance of the suspended mass from point of suspension
$\Rightarrow 25 m = 30$
$m = \frac{30}{25} = 1.2 k g$

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A metal rod of uniform thickness and of length 1m is suspended at its 25cm division with the help of a string. The rod remains horizontally straight when a block of mass 2kg is suspended to the rod at its 10cm division from same end. The mass of the rod is:

The correct option is C 1.2 kgTorques balance each other⇒mg(25)=2g(15)15cm is a distance of the suspended mass from point of suspension⇒25m=30m=3025=1.2kg

A metal rod of uniform thickness and of length $1 m$ is suspended at its $25 c m$ division with the help of a string. The rod remains horizontally straight when a block of mass $2 k g$ is suspended to the rod at its $10 c m$ division from same end. The mass of the rod is:

The correct option is C $1.2 k g$
Torques balance each other
$\Rightarrow m g (25) = 2 g (15)$
15cm is a distance of the suspended mass from point of suspension
$\Rightarrow 25 m = 30$
$m = \frac{30}{25} = 1.2 k g$