A mass of 0.790 kilograms is attached to a spring and lowered into a resting position, causing the spring to stretch 36 centimeters. The mass is then lifted back up to where the spring is just slack (unstretched) and released. a. What is the frequency of its oscillation? Include units in your answer. b. Using the release height as the reference point, where is the mass after 3.50 seconds? Include units in your answer. More information. Hints: Write an equation for the position of the mass as a function of time. For the phase constant, consider shifting the sine graph left or right a certain amoun
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 of 0.790 kilograms is attached to a spring and lowered into a resting position, causing the spring to stretch 36 centimeters. The mass is then lifted back up to where the spring is just slack (unstretched) and released.
a. What is the frequency of its oscillation? Include units in your answer.
b. Using the release height as the reference point, where is the mass after 3.50 seconds? Include units in your answer. More information. Hints: Write an equation for the position of the mass as a function of time. For the phase constant, consider shifting the sine graph left or right a certain amount.
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