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Time Period Independent of Amplitude

53.A pendulum...

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53.A pendulum inside on elevator has time period T1 when the elevator is at rest ,T2 when the elevator us accelerated up with a uniform acceleration a and T3 when the elevator accelerated down with same acceleration then the relation between the time periods is

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Q. A pendulum suspended from the roof of an elevator at rest has a time period

T_{1}

. When the elevator 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}

Q. A pendulum suspended from the roof of an elevator at rest has a time period

T_{1}

, when the elevator 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_{1}

Q. A pendulum bob is hanging from the roof of an elevator with the help of a light string. When the elevator moves up with a 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 was stationary, the tension in the string would be

Q. A simple pendulum of length l is suspended through the ceiling of an elevator. Find the time period of small oscillations if the elevator (a) is going up with and acceleration a₀ (b) is going down with an acceleration a₀ and (c) is moving with a uniform velocity.

Q. A man in a lift ascending with an upward acceleration throws a ball vertically upwards and catches it after

t_{1}

second. Later when the lift is descending with the same acceleration, the man throws the ball up again with same velocity and catches it after

t_{2}

second.
A) The acceleration of the elevator is

g \frac{(t_{2} - t_{1})}{(t_{1} + t_{2})}

B) The velocity of projection of the ball relative to elevator is

\frac{t_{2} t_{1} g}{t_{1} + t_{2}}

.
We can conclude that:

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Time Period Independent of Amplitude

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