Physics, asked by Genius0908, 8 months ago

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QUESTION :- In the given Fig. 1.27, a uniform half metre scale PQ is balanced horizontally across a knife edge.
Calculate:

(a) mass of the scale
(b) force on the knife edge
(c) the direction in which the force on the knife edge acts.

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Answers

Answered by mercygamersyt
1

Answer:

The uniform scale means that the mass is at 25 cm from P ..

Let W be the wt. of the scale,By principal of moments,

→ For the balance, the moment of forces on both sides of knife edge will be equal.

So,

→ mg * (25-15) = 15 * (50-15)

→ mg * 10 = 15 * 35

→ mg = (15*35)/10

→ mg = 52.5gm . (Ans a) = Mass of The scale .

___________________________

(b) Force on The knife Edge :-

→ Force on The knife edge is Total mass * Total Gravity .

So,

→ Force = ( 0.0525kg + 0.035kg) * 10N/kg = 0.875 N

or,

→ Force = Total mass = (52.5gm + 35gm) = 87.5gm.

____________________________

(C) The direction in which The force on the Knife edge Acts :-

→ The force acts normal to the surface.. opposite to the direction of the force due to the weight of the body.

So,

→ The Force on the knife edge acts in downward Direction.

Hope it helps you. Thank you.

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