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It is found that a uniform wooden lath 100 cm long and of mass 95 g can be balanced on a knife edge when a 5 g mass is hung 10 cm from one end. How far is the knife edge from the centre of the lath?

Answer :

Final answer:

The distance of the knife edge from the center of the lath is approximately 0.5263cm.

Explanation:

To find the distance of the knife edge from the center of the lath, we can use the principle of rotational equilibrium. The torque exerted by the 5g mass hanging at a distance of 10cm from the knife edge is equal to the torque exerted by the lath itself. The torque can be calculated using the formula:

Torque = Force x Distance

Using the given values, we can calculate the distance of the knife edge from the center of the lath:

Torque of the 5g mass = Torque of the lath

(5g x 10cm) = (95g x d)

d = (5g x 10cm) / 95g

d = 0.5263cm

Therefore, the knife edge is approximately 0.5263cm from the center of the lath.

Learn more about Torque here:

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