A) \[\cot \alpha =3\]
B) \[\sec \alpha =3\]
C) \[\cos ec\,\alpha =3\]
D) \[\cos \,\alpha =3\]
Correct Answer: A
Solution :
The insect crawls up the bowl upto a certain height h only till the component of its weight along the bowl is balanced by limiting frictional force. For limiting condition at point A \[R=mg\cos \alpha \] ...(i) \[{{F}_{1}}=ma\sin \alpha \] ...(ii) Dividing eq.(ii) by (i) \[\tan \alpha =\frac{1}{\cot \alpha }=\frac{{{F}_{1}}}{R}=\mu \left[ As\,{{F}_{1}}=\mu R \right]\] \[\Rightarrow \]\[\tan \alpha =\mu =\frac{1}{3}\left[ \because \mu =\frac{1}{3}(\text{Given}) \right]\] \[\therefore \]\[\cot \alpha =3\]You need to login to perform this action.
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