When a 0.2 kg mass is hung from a spring, the spring elongates a distance of 0.25 meters from its equilibrium position. The spring is then place sideways on a frictionless table attached to a 0.8 kg mass. It is set into simple harmonic motion at a time 1 = 0sec. The 0.8 kg mass has a speed of 0.327 m/s to the right and is located at a position 0.725 meters. Determine the spring constant (k) of the spring Determine the frequency of oscillation when the spring is attached to the 0.8 kg mass Determine the amplitude of oscillation (A) when the spring is attached to the 0.8 kg mass Determine the phase constant when the position as a function of time is expressed in standard form
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
When a 0.2 kg mass is hung from a spring, the spring elongates a distance of 0.25 meters from its equilibrium position. The spring is then place sideways on a frictionless table attached to a 0.8 kg mass. It is set into
Determine the spring constant (k) of the spring
Determine the frequency of oscillation when the spring is attached to the 0.8 kg mass
Determine the amplitude of oscillation (A) when the spring is attached to the 0.8 kg mass
Determine the phase constant when the position as a function of time is expressed in standard form
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