6 A weight Quis suspended from B of a cord ABC the ends of which are are pulled by equal weights P. overhanging small pull in A and c which are on the same level, neglecting the ratio of pull AB determine the stag BD if Lis 12M and p is 20N and Q is 10N
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Answer:
The Free body diagram of the system is shown.
For block A: T−mg=ma
T−2g=2a
We get T=2a+2g
For block B + C system : mg+mg−T=(m+m)a
2g+2g−T=(2+2)a
⟹4g−T=4a
Or 4g−2a−2g=4a
Or 2g=6a
This gives a=g/3
For block C: mg−T
=ma
2g−T
=2a
Or 2g−T
=
3
2g
Thus we get T
=4g/3=
3
4×10
=13N
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