Alex has developed a new interplanetary grandfather clock for a Mars colony with an adjustable length pendulum. For it to keep perfect 24-hour time, The pendulum length is set so the period is 2.000 s here on Earth. (gEarth = 9.81 m/2) a) What is the pendulum's length on Earth? b) The clock will first be set up on the Luna, the Earth's moon. To keep the same 24- hour-a-day time in Luna's gravity (gLuna = 1.635 m/s?), what is the pendulum length? c) Mars rotates every 24 hours, 37 minutes, and 22 seconds while Earth takes 23 hours, 56 minutes, and 4 seconds to rotate once. What is the ratio, in seconds, of a Mars day to an Earth day?
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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