-8203-A defective balance has equal arms- A body weighs w1 nbsp-when placed in one pan and w2 when placed in the other pan- the weight of the pan is-

Dear Student, Let W nbsp; nbsp;be the weight of the pan nbsp; Let the Weight of the Body be Wb Now Balancing moment of Torque across the pivot( giv ...

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Standard XII

Physics

Relative Velocity

#8203;A defec...

Question

A defective balance has equal arms. A body weighs w₁when placed in one pan and w₂ when placed in the other pan. the weight of the pan is?

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Solution

Dear Student,

Let W be the weight of the pan
Let the Weight of the Body be W_b

Now Balancing moment of Torque across the pivot( given both arms are equal= L )

Left hand moment= right hand moment

(W+W_b)L=W₁L or W+W_b=W₁....(i)
similarly W₂=W+W_b...........(ii)

substracting (ii) from (i)

W-W₂+W_b=W₁-W-W_b
2W=W₁+W₂-2W_b

W=((W₁+W₂)/2)-W_b ...(Ans)

Regards.

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​A defective balance has equal arms. A body weighs w1 when placed in one pan and w2 when placed in the other pan. the weight of the pan is?

A defective balance has equal arms. A body weighs w₁when placed in one pan and w₂ when placed in the other pan. the weight of the pan is?