A) \[\cot \,\alpha =3\]
B) \[\tan \,\alpha =3\]
C) \[\sec \,\alpha =3\]
D) \[\cos ec\,\alpha =3\]
Correct Answer: A
Solution :
To avoid slipping, \[{{f}_{r}}=mg\,\sin \,\,\alpha \] at maximum \[\alpha \]\[\mu N=mg\,\,\sin \,\,\alpha \] \[\Rightarrow \] \[\mu mg\,\,\cos \,\,\alpha =mg\,\,\sin \,\,\alpha \] \[\therefore \] \[\mu =\tan \,\alpha \] \[\Rightarrow \] \[\tan \,\alpha =\frac{1}{3}\] \[\left( as\,\mu =\frac{1}{3} \right)\] \[\therefore \] \[\cot \,\,\alpha =3\]You need to login to perform this action.
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