mass is attached to a 35 Newton/meter spring that is anchored to a wall. When the mass is displaced it undergoes simple harmonic motion. a) determine the period, Mass, amplitude, max velocity, and angular frequency of a solution b) sketch the corresponding position and acceleration graphs and put the appropriate numerical values on all axes
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.
A mass is attached to a 35 Newton/meter spring that is anchored to a wall. When the mass is displaced it undergoes
a) determine the period, Mass, amplitude, max velocity, and angular frequency of a solution
b) sketch the corresponding position and acceleration graphs and put the appropriate numerical values on all axes
c) what would happen to the quantities of amplitude was doubled? What physically causes the period to remain the same?
d) determine the position, velocity, and acceleration of the mass at .30 seconds. Explain what the particles doing at that time
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