4)Assuming that the Earth is a solid sphere of uniform density, with mass M_Earth = 5.97219 x 10^24 kg and radius = 6,371.0 km, and assuming you could walk around the equator on land, you would exert a torque on the earth slowing down its rotation if you walked in the right direction. Assuming you exert an external force on the ground of 50 N to keep yourself walking at a constant pace, how long would you have to walk to bring the earth to zero angular speed? (Also assume the earth's initial angular speed is exactly 1 rev/ 24 hours)
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.
4)Assuming that the Earth is a solid sphere of uniform density, with mass
M_Earth = 5.97219 x 10^24 kg and radius = 6,371.0 km, and assuming you could
walk around the equator on land, you would exert a torque on the earth slowing
down its rotation if you walked in the right direction. Assuming you exert an
external force on the ground of 50 N to keep yourself walking at a constant pace,
how long would you have to walk to bring the earth to zero angular speed? (Also
assume the earth's initial angular speed is exactly 1 rev/ 24 hours)
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