Angular SHM

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Angular SHM: Overview

This topic covers concepts such as Simple Pendulum, Angular Frequency of Simple Pendulum, Time Period and Frequency of Pendulum, Time Period for Relatively Large Angles, Time Period for Relatively Large Lengths, etc.

Important Questions on Angular SHM

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A pendulum clock be taken from the earth to a revolving artificial satellite it will:

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Time period of a pendulum in a freely falling lift is:

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Value of 'g' at the surface of moon is one sixth of that at the earth-surface then the time period of a pendulum at moon is how many times to that at earth:

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The length of a simple pendulum is increased then the time period will-

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Time period of simple pendulum inside the satellite orbiting earth is

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What will be the effect on the time period  Tof a pendulum using a copper wire, if it has been taken to a room where the temperature is higher by 30°C.

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Derivation of differentiat equation for simple pendulum :-

(i) In case of simple pendulum the restoring torque depends but time period doesn't depends is.

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Two simple pendulums of length 1 m each, with bobs having masses 1 kg and 2 kg, are hanging from the celling of an elevator. The elevator starts moving vertically downwards with acceleration g10. Assuming g=10 m s-2, approximately what are the time periods of the two pendulums?

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A simple pendulum is executing simple harmonic motion with a time period T. If the length of the pendulum is increased by 21%, the increase in the time period of the pendulum of increased length is 

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In an experiment to determine the gravitational acceleration g of a place with the help of a simple pendulum, the measured time period squared is plotted against the string length of the pendulum in the figure. What is the value of g at the place?

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If the steel bob of a simple pendulum is replaced by a wooden bob, then its time period will

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How is the time period of simple pendulum vary with its amplitude?

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What is the time period of a second pendulum?
(Write the numerical value in terms of SI unit of time).

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As shown in the above figure, a cart is accelerating in the horizontal direction with a constant acceleration of 3g and a 50 cm long simple pendulum is suspended from its roof. Now, find the time period of small oscillations of this pendulum in second about its equilibrium position taking g=π2 m s-2:

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What provides the restoring force for simple harmonic oscillations in Simple pendulum .

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Time period of a simple pendulum is T. The time taken to complete 58 oscillations starting from mean position is αBT. The value of α is _______ .

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Two pendulums begin to swing simultaneously. The first pendulum makes nine full oscillations when the other makes seven. The ratio of the lengths of the two pendulums is

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A person measures a time period of a simple pendulum inside a stationary lift and finds it to be T. If the lift starts accelerating upwards with an acceleration g3, the time period of the pendulum will be

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A vertical spring mass system has the same time period as simple pendulum undergoing small oscillations. Now, both of them are put in an elevator going downwards with an acceleration 5 m s-2. The ratio of time period of the spring mass system to the time period of the pendulum is (assume that acceleration due to gravity, g=10 m s-2),

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A simple pendulum is placed inside a lift which is moving with a uniform acceleration. If the time periods of the pendulum while the lift is moving upwards and downwards are in the ratio 1:2, then the acceleration of the lift is (acceleration due to gravity, g=10 m s-2),