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Question

A car is moving on a circular horizontal track of radius 10 m with a constant speed of 10 ms1. The angle made by the road with track is (Take g=10 m/s2)

A
zero
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B
30
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C
45
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D
60
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Solution

The correct option is C 45

By the free body diagram and writing the force equation we get,

Ncosθ=mg ...(i)
Nsinθ=mv2r ...(ii)
Now by dividing both the above equations, we get,
θ=tan1(v2rg)
where, v = speed and r = radius
tanθ=(10)210×g=1
θ=45

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