You have a two-wheel trailer that you pull behind your ATV. Two children with a combined mass of 70.2 kg hop on board for a ride through the woods and the springs (one for each wheel) each compress by 5.77 cm. When you pull the trailer over a tree root in the trail, it oscillates with a period of 1.29 s. Determine the following. (a) force constant of the springs  N/m (b) mass of the trailer  kg (c) frequency of the oscillation  Hz (d) time it takes for the trailer to bounce up and down 10 times  s

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A: Given:Mass,m=66.2 kgCompress,x=5.77 ×10-2  mTime ,t=1.94 secThe springs are parallel to each other…

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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.