A complete description of simple harmonic motion must take into account several physical quantities and various mathematical relations among them. This information is needed to solve oscillation problems of this type. Assume that the oscillating mass described in Part A is attached to a spring. What would the spring constant k of this spring be? Express your answer in newtons per meter to two significant figures. > View Available Hint(s) The position of a 40 g oscillating mass is given by x(t) = (2.0 cm) cos(10t), where t is in seconds. ? k = N/m Submit Part C What is the total energy E of the mass described in the previous parts? Express your answer in joules to two significant figures. > View Available Hint(s)
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.
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