One way to provide artificial gravity (i.e., a feeling of weight) on long space voyages is to separate a spacecraft into two parts at the ends of a long cable, and set them rotating about their center of mass. A craft has been separated into two parts with a mass of 79500 kg each, at the ends of a cable with their centers of mass 54 m apart, rotating around the center point of the cable with a period of 173.2 seconds. If the cable is reeled in so that the the centers of the two pieces are now only 41.58 m apart, what will be the new period?
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.
One way to provide artificial gravity (i.e., a feeling of weight) on long space voyages is to separate a spacecraft into two parts at the ends of a long cable, and set them rotating about their center of mass. A craft has been separated into two parts with a mass of 79500 kg each, at the ends of a cable with their centers of mass 54 m apart, rotating around the center point of the cable with a period of 173.2 seconds.
If the cable is reeled in so that the the centers of the two pieces are now only 41.58 m apart, what will be the new period?
the answer I have been getting has been because I have been using
Tf= (rfTi)/ri which was found by using the conservation of
What have I been doing wrong?
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