Home
Class 11
PHYSICS
A pendulum suspended from the ceiling of...

A pendulum suspended from the ceiling of an elevator at rest has a time period of oscillation equal to `T_(1)`. When the elevator moves up with an acceleration a, the time period becomes `T_(2)` and when the elevator moves down with an acceleration a, its time period becomes `T_(3)`, then find the expression for `T_(1)` in terms of `T_(2)` and `T_(3)`.

Text Solution

AI Generated Solution

To solve the problem, we need to derive the expression for the time period of a pendulum suspended in an elevator that is either accelerating upward or downward. We will denote the time periods as follows: - \( T_1 \): Time period when the elevator is at rest. - \( T_2 \): Time period when the elevator is moving upward with acceleration \( a \). - \( T_3 \): Time period when the elevator is moving downward with acceleration \( a \). ### Step-by-Step Solution: ...
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    MODERN PUBLICATION|Exercise Revision Exercises (Very Short Answer Questions)|37 Videos

  • OSCILLATIONS

    MODERN PUBLICATION|Exercise Revision Exercises (Additional Question )|3 Videos

  • OSCILLATIONS

    MODERN PUBLICATION|Exercise NCERT Exemplar Problems Subjective Question ( short Answer Type Questions )|6 Videos

  • MOTION IN A STRAIGHT LINE

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|16 Videos

  • PHYSICAL WORLD

    MODERN PUBLICATION|Exercise Revision exercises (Long answer questions)|6 Videos

Similar Questions

Explore conceptually related problems

A pendulum suspended from the roof of an elevator at rest has a time period T_(1) , when the elevatore moves up with an acceleration a its time period becomes T_(2) , when the elevator moves down with an acceleration a , its time period becomes T_(3) , then

A simple pendulum of length 1 m is freely suspended from the ceiling of an elevator. The time period of small oscillations as the elevator moves up with an acceleration of 2m//s^2 is (use g=10 m//s^2 )

A simple pendulum, suspended from the coiling of a lift, has a period of oscillation T, when the lift is at rest. If the lift starts moving upwards with an acceleration a =3g, then the new period will be

A simple pendulum suspended from the ceiling of a trans has a time period T when the train is at rest. If the train is accelerating uniformly at a then its time period

A pendulum bob is hanging from the roof of an elevator with the help of a light string. When the elevator moves up with uniform acceleration 'a' the tension in the string is T_(1) . When the elevator moves down with the same acceleration, the tension in the string is T_(2) . If the elevator were stationary, the tension in the string would be

A simple pendulum of length l is suspended throught the ceiling of an elevator. Find the time period of small oscilations if the elevator a. is going up with an acceleration a_0 . b. is going down with an acceleration a_0 and c. is moving with a uniform velocity.

A simple pendulum hanging from the ceiling of a stationary lift has a time period T 1 . When the lift moves downward with constant velocity, the time period is T, then