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Practice: Spring and mass system

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Wize University Physics Textbook (Master) > Periodic Motion: Oscillations

Basic Concepts of Oscillation

4 Activities

A block of unknown mass mmis attached to a horizontal spring which has a spring constant k=4.8 Nmk=4.8\ \frac{N}{m}. It is then set oscillating on a frictionless surface with an amplitude A=12 cmA=12\ cm. The position and velocity of the block at t=0t=0are measured to be +6.0 cm+6.0\ cmand +30 cms+30\ \frac{cm}{s}, respectively.

The motion can be modeled as an equation in the form x(t)=Acos⁡(ωt+φ)x\left(t\right)=A\cos\left(\omega t+\varphi\right).
What is the phase constant?
More Basic Concepts of Oscillation Questions:
Simple harmonic motion: Pendulum
In two separate experiments a pendulum and a mass-spring are moved from the Earth to the moon surface where gravitational acceleration is 16\frac{1}{6}of the Earth.
a) How does the amplitude of oscillations change for each system?
b) How does the frequency of oscillations change for each system?
The displacement function of a simple harmonic motion over time is shown below. Write the equation of the motion.
Simple Harmonic Motion: Pendulum
You have landed on an unknown planet. You have a simple pendulum with a length of 25.0 cm25.0\ cm. You measure the frequency of oscillation of the pendulum to be 0.5 Hz0.5\ Hz.
a) What is the gravitational acceleration on this planet? (in m/s^2)
b) What would be the period of the oscillation if you used this pendulum on Earth? (in seconds)
A mass is on a spring. The spring is stretched and then released so that the mass bounces back and forth. There are no other forces in the system. At what point is the block moving the fastest?