3. The MacKay Bridge over Halifax Harbour is designed to sway in high wind conditions to help absorb shock. If you were to measure the sway of the bridge in an 80 km/hr wind, you would find the following results: Att = Os, the sway = +45 cm (45 cm right) At t = 14s, the sway = -45 cm (45 cm left) a) What is the period of the swaying bridge? The amplitude? b) What is the equation of the sinusoidal axis? c) Construct a table of values and graph demonstrating one full cycle of motion. d) Suppose dampers were added to reduce the sway (but not period) by 50%. Construct a new table of values and graph to demonstrate one full cycle. %3D %3D
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.
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