A rope of homogeneous material, of length L= 20.0 m and mass M= 2.0 kg is stretched in the horizontal direction under a tension of 35.0 N. One end of the rope is oscillated transversely, with an amplitude of 0.03 cm and frequency of 15.0 oscillations per second. The initial transverse position of this end at t=0 is yi= 0.015 m, considering the y axis oriented upwards. Which function describes the transverse displacement of a point at a distance x from the oscillating end, after being hit by the wave but before the wave reaches the other end, as shown in the figure? Choose the correct alternative (option are in the image):
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 rope of homogeneous material, of length L= 20.0 m and mass M= 2.0 kg is stretched in the horizontal direction under a tension of 35.0 N. One end of the rope is oscillated transversely, with an amplitude of 0.03 cm and frequency of 15.0 oscillations per second. The initial transverse position of this end at t=0 is yi= 0.015 m, considering the y axis oriented upwards. Which function describes the transverse displacement of a point at a distance x from the oscillating end, after being hit by the wave but before the wave reaches the other end, as shown in the figure?
Choose the correct alternative (option are in the image):
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