consisting of a mass of 90 g oscillating at the end of the spring. They set the timer at zero when the mass is located at its maximum displacement. They also measure a maximum displacement (from the equilibrium position) of 11.43 cm and determine the total time for 10 oscillations to be 9.67 s. When the stopwatch reads 3.71 s, what is i) the position: x(t) = ii) the velocity: v(t) = iii) the acceleration: a(t) = Repeat the two sets of
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.
Some students are performing a lab consisting of a mass of 90 g oscillating at the end of the spring. They set the timer at zero when the mass is located at its maximum displacement. They also measure a maximum displacement (from the equilibrium position) of 11.43 cm and determine the total time for 10 oscillations to be 9.67 s.
When the stopwatch reads 3.71 s, what is
i) the position: x(t) =
ii) the velocity: v(t) =
iii) the acceleration: a(t) =
Repeat the two sets of questions for i), ii), iii), if the students set the stopwatch at zero when the speed is a
maximum, which corresponds to the time when the mass is exactly at the equilibrium position.
i) x(t) =
ii) v(t) =
iii) a(t) =
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