Below is the depicted graph of the velocity of a block that is connected to a spring with an unspecified mass and a force constant of 80 N/m, undergoing oscillation. The time axis is wrongly marked for 1.6 sec. It should be 1.8 sec. Determine the period, frequency, and angular frequency of oscillation? Calculate the maximum displacement of the mass from equilibrium in centimeters? Just so you know: It does not correspond to the amplitude of the velocity graph. What is the peak acceleration of the mass and identify the moments when it transpires?
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.
Below is the depicted graph of the velocity of a block that is connected to a spring with an unspecified mass and a force constant of 80 N/m, undergoing oscillation. The time axis is wrongly marked for 1.6 sec. It should be 1.8 sec.
Determine the period, frequency, and angular frequency of oscillation?
Calculate the maximum displacement of the mass from equilibrium in centimeters? Just so you know: It does not correspond to the amplitude of the velocity graph.
What is the peak acceleration of the mass and identify the moments when it transpires?
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