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Standard XII

Physics

Banking of Roads

A car is movi...

Question

A car is moving in a circular horizontal track of radius $10 m$ with a constant speed of $10 m / s$ . A plumb bob is suspended from the roof of the car by a light rigid rod of length $1 m$ . The angle made by the rod with track is

zero

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30^{o}

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45^{o}

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60^{o}

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Solution

The correct option is C $45^{o}$
T cos $θ$ = mg..........(1)
T Sin $θ$ = $\frac{m v^{2}}{r}$ .....(2)
$E q u^{n} (2) / (1)$
$t a n θ = \frac{v^{2}}{r g} = \frac{100}{100} = 1$
I used $g = 10$ and we get $θ = 45^{0}$

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A car is moving in a circular horizontal track of radius 10m with a constant speed of 10m/s. A plumb bob is suspended from the roof of the car by a light rigid rod of length 1m. The angle made by the rod with track is

The correct option is C 45oT cosθ = mg..........(1)T Sinθ = mv2r.....(2)Equn (2)/(1) tanθ=v2rg=100100=1I used g=10 and we get θ=450

A car is moving in a circular horizontal track of radius $10 m$ with a constant speed of $10 m / s$ . A plumb bob is suspended from the roof of the car by a light rigid rod of length $1 m$ . The angle made by the rod with track is

The correct option is C $45^{o}$
T cos $θ$ = mg..........(1)
T Sin $θ$ = $\frac{m v^{2}}{r}$ .....(2)
$E q u^{n} (2) / (1)$
$t a n θ = \frac{v^{2}}{r g} = \frac{100}{100} = 1$
I used $g = 10$ and we get $θ = 45^{0}$