Home
Class 12
PHYSICS
A simple pendulum is suspended verticall...

A simple pendulum is suspended vertically to the ceiling of compartment in a stationary train. If the 'train' is constantly accelerated by acceleration 'a' the angle `theta` which string makes with vertical is :

A

zero

B

`tan^(-1)""(a)/(g)`

C

`sin^(-1)""(a)/(g)`

D

`cos^(-1)""(a)/(gg)`

Text Solution

Verified by Experts

The correct Answer is:
B
Let T be the tension in the string. Tension T can be resolved into two components, `T cos theta` and `T sin theta` as shown in

`T sin theta=ma`
`T cos theta=mg`
`:." "tan theta=a//gimpliestheta=tan^(-1)(a//g)`
Thus correct choice is (b).
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    MODERN PUBLICATION|Exercise MCQ (LEVEL-II)|62 Videos

  • OSCILLATIONS

    MODERN PUBLICATION|Exercise MCQ (LEVEL-III) Questions From AIEEE/JEE Examination|10 Videos

  • MOCK TEST-3

    MODERN PUBLICATION|Exercise MCQs|49 Videos

  • PROPERTIES OF MATTER

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|17 Videos

Similar Questions

Explore conceptually related problems

A simple pendulum is suspended from the ceiling of a lift . When the lift is at rest its time period is T. With what acceleration should the lift be accelerated upwards in order to reduce its period to T//2 ? (g is acceleration due to gravity ).

A plumb line is hanging from the ceiling of a train. If the train moves along the horizontal track with a uniform acceleration, the plumb line gets inclined to the vertical at an angle:

A smooth inclined plane of angle of inclination 30^(@) is placed on the floor of a compartment of a train moving with a constant acceleration a. When a block is placed on the inclined plane, it does not slide down or up the plane. The acceleration a must be