Questions

What is the effect of amplitude on frequency for simple harmonic motion?

What is the effect of amplitude on frequency for simple harmonic motion?

You could also describe these conclusions in terms of the period of simple harmonic motion. A heavier mass oscillates with a longer period and a stiffer spring oscillates with a shorter period. Frequency and period are not affected by the amplitude.

Why is it important to keep the amplitude small for a physical 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.

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What is the relation between the added mass and frequency of oscillations of the spring mass system?

The natural resonant frequency of the oscillator can be changed by changing either the spring constant or the oscillating mass. Using a stiffer spring would increase the frequency of the oscillating system. Adding mass to the system would decrease its resonant frequency.

What happens to frequency when amplitude is tripled?

What happens to the frequency of a wave when the amplitude is tripled? The wavelength and amplitude both increase.

What is the relation between period and amplitude of the oscillation?

The maximum x-position (A) is called the amplitude of the motion. The block begins to oscillate in SHM between x=+A and x=−A, where A is the amplitude of the motion and T is the period of the oscillation. The period is the time for one oscillation.

What is the relationship between amplitude and period of a pendulum?

The greater the amplitude, or angle, the farther the pendulum falls; and therefore, the longer the period.)

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Does mass affect amplitude?

The amplitude of a spring-block system should depend on the block’s mass looking at the conservation of energy equation for SHM. Mass is directly proportional to amplitude.

What determines amplitude of oscillation?

Amplitude is the magnitude of change in the oscillating variable with each oscillation within an oscillating system. For example, sound waves in air are oscillations in atmospheric pressure and their amplitudes are proportional to the change in pressure during one oscillation.

What is the relationship between amplitude and angular frequency in SHM?

In many cases this condition is satisfied if the displacement from equilibrium is small. The angular frequency, frequency, and period in SHM do not depend on the amplitude, but only on the mass mand force con- stantk.

How does amplitude affect period and frequency in simple harmonic motion?

In simple harmonic motion the period and frequency do not depend on the amplitude A. For given values of m and k, the time of one complete oscillation is the same whether the amplitude is large or small. Equation (14.3) shows why we should expect this.

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What is the relationship between amplitude and energy?

Amplitude refers to the distance of the maximum vertical displacement of the wave from its mean position. Larger the amplitude, the higher the energy. In sound, amplitude refers to the magnitude of compression and expansion experienced by the medium the sound wave is travelling through.

What is the relation between amplitude and frequency for a sine wave?

The relation between Amplitude and Frequency for a sine wave is mathematically written as- A is the amplitude of the wave. y (t) is the sine wave as a function of time. t is time. f is the frequency of the wave.