A very large mass-spring system has stiffness 168 N/m, mass 0.46 kg, and is oriented horizontally atop a level table. The system released with initial compression of of 7 cm and initial speed 3 m/s. The maximum stretch of the spring during motion(m) is 0.1718. The maximum speed that the mass obtains(m/s) is 3.284. Question 1a) If the friction force is on average F=0.075N, what is the change in energy per cycle? Give your answer in J. Question 1b) What is the required input power to maintain oscillation? Give your answer in watts.
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 very large mass-spring system has stiffness 168 N/m, mass 0.46 kg, and is oriented horizontally atop a level table. The system released with initial compression of of 7 cm and initial speed 3 m/s.
The maximum stretch of the spring during motion(m) is 0.1718.
The maximum speed that the mass obtains(m/s) is 3.284.
Question 1a) If the friction force is on average F=0.075N, what is the change in energy per cycle? Give your answer in J.
Question 1b) What is the required input power to maintain oscillation? Give your answer in watts.
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