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Why the motion of a simple pendulum is not strictly simple harmonic?

Why the motion of a simple pendulum is not strictly simple harmonic?

It is not strictly simple harmonic because we make the assumption that Sinθ =θ which is nearly valid only if θ is very small.

Is the motion of a simple pendulum strictly simple harmonic?

It is not strictly simple harmonic because we make the assumption that Sinθ =θ, which is nearly valid only if θ is very small.

What is the difference between simple harmonic motion and simple pendulum?

A good example of the difference between harmonic motion and simple harmonic motion is the simple pendulum. The simple pendulum undergoes harmonic motion, however for small angles of oscillation it does approximately undergo simple harmonic motion. Harmonic motion would just be any motion that is periodic.

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Under what conditions the motion of pendulum is simple harmonic?

It begins to oscillate about its mean position. Therefore, the motion is periodic and oscillatory. Now, if we displace the pendulum by a very small angle Θ, then it performs the simple harmonic motion. Consider a simple pendulum having mass ‘m’, length L and displaced by a small angle Θ with the vertical.

Why does a pendulum swing through a small angle?

A pendulum swinging through a large angle is being pulled down by gravity for a longer part of its swing than a pendulum swinging through a small angle, so it speeds up more, covering the larger distance of its big swing in the same amount of time as the pendulum swinging through a small angle covers its shorter …

Why amplitude of simple pendulum is kept small?

If it is a pendulum, amplitude must be small because the “time period does not depend on amplitude” rule applies to pendulums only if it is exhibiting simple harmonic motion. So, when amplitude is kept small (allowing use of the sinθ=θ approximation), time period is independent of amplitude.

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Can a simple pendulum experiment be done inside a satellite?

No, the simple pendulum experiment cannot be conducted inside a satellite as the acceleration due to gravity is zero in space and the time period becomes infinity.

On what factor does the angular frequency of a simple harmonic motion depends upon?

Answer: The angular frequency depends only on the force constant and the mass, and not the amplitude.

What are the differences between simple harmonic motion and damped harmonic motion?

While in a simple undriven harmonic oscillator the only force acting on the mass is the restoring force, in a damped harmonic oscillator there is in addition a frictional force which is always in a direction to oppose the motion.

What are the conditions for simple pendulum?

Small Angle Approximation and Simple Harmonic Motion With the assumption of small angles, the frequency and period of the pendulum are independent of the initial angular displacement amplitude. All simple pendulums should have the same period regardless of their initial angle (and regardless of their masses).