Consider an mass-spring system oscillating with a mass 0.13kg , spring constant 32.00 N/ m , and amplitude 31.00cm . Determine the following quantities (don't forget to put your calculator in RADIANS mode for trig equations of motion!): Period (provide at least 3 decimal points): ____s Frequency (provide at least 3 decimal points): ___Hz Angular frequency (provide at least 3 decimal points): ____rad/ s Distance (magnitude only, no minus sign!) from equilibrium at t=0.40s : ___cm Speed (magnitude only, no minus sign!) at x=2.40cm from equilibrium:_____ m /s Acceleration (magnitude only, no minus sign!) at x=1.70cm from equilibrium: _____m /s^2
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.
Consider an mass-spring system oscillating with a mass 0.13kg , spring constant 32.00 N/ m , and amplitude 31.00cm . Determine the following quantities (don't forget to put your calculator in RADIANS mode for trig equations of motion!):
Period (provide at least 3 decimal points): ____s
Frequency (provide at least 3 decimal points): ___Hz
Angular frequency (provide at least 3 decimal points): ____rad/ s
Distance (magnitude only, no minus sign!) from equilibrium at t=0.40s : ___cm
Speed (magnitude only, no minus sign!) at x=2.40cm from equilibrium:_____ m /s
Acceleration (magnitude only, no minus sign!) at x=1.70cm from equilibrium: _____m /s^2
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