A pendulum is executing simple harmonic motion and its maximum kinetic energy is . If the length of the pendulum is doubled and it performs simple harmonic motion with the same amplitude as in the first case, its maximum kinetic energy is .
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as
So,
A pendulum is undergoing S.H.M. The velocity of the bob in the mean position is v. If now its amplitude is doubled, keeping the length same, its velocity in the mean position will be
(since )
A simple pendulum is made of a body which is a hollow sphere containing mercury suspended by means of a wire. If a little mercury is drained off, the period of pendulum will
remain unchanged
increase
decrease
become erratic
When some mercury is drained off, the centre of gravity of the bob moves down and so length of the pendulum increases, which result increase in time period.
The length of a seconds pendulum at a height from earth surface will be:
(Given: Radius of earth and acceleration due to gravity at the surface of earth ]
Choose the correct statement
Time period of a simple pendulum depends on amplitude.
Time shown by a spring watch varies with acceleration due to gravity .
In a simple pendulum time period varies linearly with the length of the pendulum.
The graph between length of the pendulum and time period is a parabola.
Which of the following will change the time period as they are taken to moon?
A simple pendulum
A torsional pendulum
A physical pendulum
A spring-mass system
For an oscillating simple pendulum, the tension in the string is
maximum at extreme position
maximum at mean position
constant throughout the motion
cannot be predicted
At the mean position, and
So, the value of tension is greatest.
Time period of a simple pendulum is inside a lift when the lift is stationary. If the lift moves upwards with an acceleration , the time period of pendulum will be :
In stationary lift,
In upward moving lift,
(Here, acceleration of lift)
Two pendulums of lengths and start to swing together. The number of vibrations after which they will again start swinging together is
4
3
5
2
Two oscillating simple pendulums with time periods and are in phase at a given time. They are again in phase after an elapse of time
Time
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