A) \[{{45}^{o}}\]
B) \[{{60}^{o}}\]
C) \[{{30}^{o}}\]
D) \[{{15}^{o}}\]
Correct Answer: C
Solution :
To avoid dependence »on friction, the rods are banked at the turn so that the outer part of the road is some what lifted compared to the inner part. Applying Newton's second law along the radius and the first law in the vertical direction. \[N\sin \theta =\frac{m{{v}^{2}}}{r}\] and \[N\cos \theta =mg\] From these two equations, we get \[\tan \theta =\frac{{{v}^{2}}}{rg}\] Given, \[v=32\,m{{s}^{-1}},r=180\,m,g=9.8\,m/{{s}^{2}}\] Hence \[\tan \theta =\frac{{{(32)}^{2}}}{180\times 9.8}\] or \[\theta ={{30}^{o}}\]You need to login to perform this action.
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