A) \[\sqrt{2}\text{ Mg}\]
B) \[\sqrt{2}\text{ mg}\]
C) \[\sqrt{{{\left( M+m \right)}^{2}}+{{m}^{2}}}\text{ g}\]
D) \[\sqrt{{{\left( M+m \right)}^{2}}+{{M}^{2}}}\text{ g}\]
Correct Answer: D
Solution :
[d] At equilibrium \[T=Mg\] F.B.D. of pulley \[{{F}_{1}}=\left( m+M \right)g\] The resultant force on pulley is \[F=\sqrt{F_{1}^{2}+{{T}^{2}}}\] \[F=\sqrt{{{\left( m+M \right)}^{2}}+{{M}^{2}}}g\]You need to login to perform this action.
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