A 30.0-g goldfinch lands on a slenderbranch, where it oscillates up and down with simple harmonicmotion of amplitude 0.0335 m and period 1.65 s. (a) What is themaximum acceleration of the finch? Express your answer as a fraction of the acceleration of gravity, g. (b) What is the maximumspeed of the goldfinch? (c) At the time when the goldfinch experiences its maximum acceleration, is its speed a maximum or aminimum? Explain.
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 30.0-g goldfinch lands on a slender
branch, where it oscillates up and down with simple harmonic
motion of amplitude 0.0335 m and period 1.65 s. (a) What is the
maximum acceleration of the finch? Express your answer as a fraction of the acceleration of gravity, g. (b) What is the maximum
speed of the goldfinch? (c) At the time when the goldfinch experiences its maximum acceleration, is its speed a maximum or a
minimum? Explain.
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