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A dynomometer D (a force meter ) is atta...

A dynomometer D (a force meter ) is attached to two masses M = 10 kg and m = 1 kg . Force F = 2 kg f and f = 1 kgf are applied to the masses . What will applied to the masses . What will the dynamometer show if :
(a) F is applied to M and f ot m
(b) F is applied to m and f to M
(c) if M = m = 5 kg .

A

`7//4`

B

`12//22`

C

`4//7`

D

`22//12`

Text Solution

Verified by Experts

The correct Answer is:
C
When F is applied to 'M'

F - kx = Ma kx - f = ma `(F - kx)/(kx - f) = (Ma)/(ma) = (M)/(m)`
Reading of dynamo meter `(kx)_(i) = (mF + Mf)/(M + m)`
after interchanging ther force `(kx)_(f) = (mf + mF)/(M + m)`
`((kx)_(i)))/((kx)_(f)) = (mF + Mf)/(mf + MF) = (2 + 10)/(1 + 20) = (12)/(21) = (4)/(7)`
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