1. a) Use Hooke's law to calculate the mass hanging from a spring at equilibrium if the spring constant has a value of 22 N/m and the stretch distance is 0.089 m. b) Calculate the period of vibration be if the mass is pulled an additional 0.02m and released from rest. c) Calculate the frequency of these vibrations. d) Calculate the amount of mass that would need to be (+) or removed (-) to change the frequency to 1.20 Hz. Please only answer b, c, d
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.
1.
a) Use Hooke's law to calculate the mass hanging from a spring at equilibrium if the spring constant has a value of 22 N/m and the stretch distance is 0.089 m.
b) Calculate the period of vibration be if the mass is pulled an additional 0.02m and released from rest.
c) Calculate the frequency of these vibrations.
d) Calculate the amount of mass that would need to be (+) or removed (-) to change the frequency to 1.20 Hz.
Please only answer b, c, d
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