Simple Harmonic motion calculation for a mass on a spring

Thread starter Jshu
Start date Mar 23, 2020
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Calculation Harmonic Harmonic motion Mass Motion Simple harmonic motion Spring

In summary, Simple Harmonic Motion (SHM) is a periodic motion where the restoring force is proportional to the displacement from an equilibrium position. It is calculated for a mass on a spring using the equation F = -kx and can be solved using Newton's Second Law of Motion. The period of oscillation, T, can be calculated using the equation T = 2π√(m/k), where m is the mass and k is the spring constant. The amplitude, A, affects SHM by determining the maximum potential and kinetic energy of the system. SHM can be observed in real-life situations and is important in understanding mechanical systems and waves.

Mar 23, 2020

Jshu

Homework Statement: A 1.6 kg mass attached to a spring undergoes simple harmonic motion of amplitude 0.12 m and has an energy of 72 J

Relevant Equations: E=(1/2)(k)(x^2)+(1/2)(m)(v^2)
T=2pi sqrt{m/k}

Im not sure how to find k if I'm not given a force or period.

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Mar 23, 2020

TSny

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Is there some position of the mass where you know both x and v?

Mar 23, 2020

BvU

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Hi,

!

Your problem statement is severely incomplete
And PF rules require an effort on your part

Related to Simple Harmonic motion calculation for a mass on a spring

1. How do you calculate the period of a mass on a spring?

The period of a mass on a spring can be calculated by dividing the mass's spring constant by the mass's spring constant squared, multiplied by 2π.

2. What is the equation for simple harmonic motion?

The equation for simple harmonic motion is x = A sin(ωt + φ), where x is the displacement of the mass, A is the amplitude of the oscillation, ω is the angular frequency, and φ is the phase angle.

3. How does the mass affect the frequency of a mass on a spring?

The mass does not affect the frequency of a mass on a spring. The frequency is solely determined by the spring constant and the mass does not play a role in the calculation.

4. Can the spring constant be negative in simple harmonic motion?

No, the spring constant cannot be negative in simple harmonic motion. It represents the stiffness of the spring and a negative value would not make physical sense.

5. What is the relationship between the amplitude and the maximum displacement of a mass on a spring?

The amplitude is equal to the maximum displacement of the mass on a spring. This means that the mass will oscillate between the amplitude and the negative of the amplitude.