In the given diagram a uniform meter scale PQ is balanced horizontally across a knife edge. calculate a) the mass of the scale b) force on the knife edge c) state the direction in which the force of the knife acts
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→ 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 .
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(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.
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(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.
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