A car is moving with a constant speed of 20 m/s in a circular horizontal track of radius 40 m. A bob is suspended from the roof of the car by a massless string. The angle made by the string with the vertical will be (Take ) [2023]

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Solution

Q.
A car is moving with a constant speed of 20 m/s in a circular horizontal track of radius 40 m. A bob is suspended from the roof of the car by a massless string. The angle made by the string with the vertical will be (Take $g = 10$ $m / s^{2}$ ) [2023]

1 $\frac{π}{6}$

2 $\frac{π}{2}$

3 $\frac{π}{4}$

4 $\frac{π}{3}$

Ans.
(3)

$\tan θ = \frac{v^{2}}{r g} = \frac{{(20)}^{2}}{40 \times 10} = 1$

$θ = 45 ° = \frac{π}{4}$

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