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Q.

A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m / s. A bob is suspended from the roof of the car by a light wire of length 1.0 m. The angle made by the wire with the vertical is

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a

π3

b

π6

c

π4

d

0o

answer is C.

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Detailed Solution

Let θ is the angle made by the wire with the vertical.  ∴  tanθ=v2rg  Here, v=10 m/s,r=10 m,g=10 m/s2 ∴  tanθ=(10 m/s)210 m10 m/s2=1 θ=tan-1(1)=π4
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A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m / s. A bob is suspended from the roof of the car by a light wire of length 1.0 m. The angle made by the wire with the vertical is