A spring, with a spring constant of 150 N m-1, is hung vertically from a ceiling. A 5 kg mass is attached to the base of the spring and the spring is allowed to oscillate freely. For this question, ignore the effects of air resistance and friction and assume that the spring’s mass is negligible.
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.
answer the following question "What is the extension of the spring when the velocity of the mass is a maximum? " using the following formula Kinetic energy in a vertical spring system
kx = mg
Where:
k = Spring constant (Nm–1)
x = Change in length of the spring (m)
m = Mass (kg)
g = Gravitational field strength (9.8 Nkg–1 on the surface of Earth):
information: A spring, with a spring constant of 150 N m-1, is hung vertically from a ceiling. A 5 kg mass is attached to the base of the spring and the spring is allowed to oscillate freely. For this question, ignore the effects of air resistance and friction and assume that the spring’s mass is negligible.
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