A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 ms−1. A plumb bob is suspended from the roof of the car by a light rigid rod. The angle made by the rod with the vertical is
Zero
300
450
600
A
450
B
600
C
Zero
D
300
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Solution
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Hence from the figure,
We know that,
Tsinθ=mv2r [centripetal] ⟶(i)
Tcosθ=mg⟶(ii) (force)
from (i) and (ii))
TsinθTcosθ=mv2r×1mg
tanθ=v2rg
Given that, radius =10 m
velocity =10 m/s
g=10m/s2
tanθ=10210×10=1⇒θ=450
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