A) \[\tan \phi = 2 tan\theta \]
B) \[\tan \phi = 3 tan\theta \]
C) \[\tan \phi = tan\theta \]
D) \[\tan \theta = 3tan\phi \]
Correct Answer: B
Solution :
Force required to just move up the body = \[{{\operatorname{F}}_{up}}=mg\,Sin\theta +\mu mg\,Cos\theta \] Similary \[{{\operatorname{F}}_{\operatorname{down}}}=mg\,Sin\theta -\mu mg\,Cos\theta \] \[{{\operatorname{F}}_{\operatorname{up}}}=2{{\operatorname{F}}_{\operatorname{down}}}\] \[mg\,Sin\phi +\mu mg\,Cos\phi =2\left( mg\,Sin\phi -\mu mg\,Cos\phi \right)\]\[\tan \phi =3\mu \] As we known \[\mu =\tan \theta \] \[\tan \phi =3\tan \theta \]You need to login to perform this action.
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