Home
Class 12
PHYSICS
A plumb bob is suspended by a light rod ...

A plumb bob is suspended by a light rod inside a car moving in a circular horizontal track of radius `(6sqrt3)/5` m . The angle made by the rod with the vertical is found out to be` 60^@`. Then, the car moves with a constant speed of ___ m/s.`(g = 10 m//s^2)`

Text Solution

Verified by Experts

The correct Answer is:
6

T sin `theta` = `(mv^2)/R`
T cos `theta` = mg
`therefore tan theta = (v^2)/(Rg) `
`therefore v^2 = tan theta xx R x g`
`therefore v^2 = tan 60 ^@ xx (6sqrt3)/5 xx 10`
`therefore v^2 = sqrt3 xx( 6sqrt3)/5 xx 10`
`therefore v^2 = 36`
`therefore` v = 6 m/s
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 68

    NTA MOCK TESTS|Exercise PHYSICS|30 Videos

  • NTA TPC JEE MAIN TEST 70

    NTA MOCK TESTS|Exercise PHYSICS|30 Videos

Similar Questions

Explore conceptually related problems

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. What will be the angle made by the rod with the vertical? (g = 10 ms^(-2) )

A bus is moving in a circular horizontal track of radius 10 m with a constant speed 10 m//s . A plumb bob is suspended from the roof of length 1.0m. The angle made by the rod with the track is (take g=10 m//s^2 )

Knowledge Check

  • A simple pendulum with a bob of mass m is suspended from the roof of a car moving with a horizontal accelertion a. The angle made by the string with verical is

    A
    `tan^(-1)((a)/(g))`
    B
    `tan^(-1)(1-(a)/(g))`
    C
    `cos^(-1)((a)/(g))`
    D
    `sin^(-1)((a)/(g))`

  • A car is moving on a circular track of radius 0.1 km with a speed 60 km/h, angle of banking would be

    A
    `tan^(-1)(1//18)`
    B
    `tan^(-1)(5//18)`
    C
    `cos^(-1)(5//18)`
    D
    `tan^(-1)(18//5)`

  • 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. The angle made by the rod with the vertical is (g = 10 m//s^(2))

    A
    zero
    B
    `30^(@)`
    C
    `45^(@)`
    D
    `60^(@)`

    • Similar Questions

    Explore conceptually related problems

    A simple pendulum with a bob of mass m is suspended from the roof of a car moving with a horizontal acceleration a.

    A simple pendulum with a bob of mass m is suspended from the roof of a car moving with horizontal acceleration a

    A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10ms^(-1) . A plumb bob is suspended from the roof of the car by a string of length 1m. The angle made by the string with vertical is (g = 10ms^(-2))

    A seconds pendulum is suspended from rof of a vehicle that is moving along a circular track of radius (10)/(sqrt(3))m with speed 10m//s . Its period of oscillation will be (g = 10m//s^(2))

    A car is moving in a circular horizonta track of radius 10m with a constant speed of 10 m/s. A pendulum bob is suspended from the roof of the cat by a light rigid rod of length 1.00m. The angle made by the rod with track is

    Home
    Profile