Why do we take small amplitude of simple pendulum?

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.

Why do we take a small oscillations while measuring time period?

Explanation: allows a short response time. However, small oscillations lead to the identification of irrelevant minima and maxima.

Why must the pendulum swing through a small angle?

Why does the pendulum swing through a small angle? – Quora. A pendulum will swing through whatever angle it has enough energy / momentum to reach. The small angle assumption make it easier to calculate and demonstrate the exchange of energy from potential to/from kinetic.

Why do we use heavy bob which is small in size?

Reason for use This maximizes the moment of inertia, and minimises the length of pendulum required for a given period. Shorter pendulums allow the clock case to be made smaller, and also minimize the pendulum’s air resistance.

Is period independent of amplitude for the simple pendulum?

The period of a pendulum does not depend on the mass of the ball, but only on the length of the string. With the assumption of small angles, the frequency and period of the pendulum are independent of the initial angular displacement amplitude.

Does the time period depends on the amplitude of the pendulum?

The period depends on the length of the pendulum and also to a slight degree on the amplitude, the width of the pendulum’s swing.

What are small and rapid oscillations called?

Rapid and small oscillations are called vibrations.

How is time period of a simple pendulum effected with change in value of G?

Thus, T=2π√Lg T = 2 π L g for the period of a simple pendulum. The only things that affect the period of a simple pendulum are its length and the acceleration due to gravity.

Why time period of simple pendulum is independent of mass?

The period of oscillation of a simple pendulum does not depend on the mass of the bob. Since the mass factors into both the cause of changing motion and the resistance to changing motion, it cancels out. For a mass-spring system, the mass still affects the inertia, but it does not cause the force.