A bungee jumper with mass 65.0 kg jumps from a high bridge. After arriving at her lowest point, she oscillates up and down, reaching her lowest point seven more times in 43.0 s. She finally comes to rest 25.0 m below the level of the bridge. Estimate the spring stiffness constant and the unstretched length of the bungee cord assuming SHM.
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 bungee jumper with mass 65.0 kg jumps from a high bridge. After arriving at her
lowest point, she oscillates up and down, reaching her lowest point seven more times in
43.0 s. She finally comes to rest 25.0 m below the level of the bridge. Estimate the
spring stiffness constant and the unstretched length of the bungee cord assuming
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
