A light spring obeys Hooke's law. The spring's unstretched length is 33.0 cm. One end of the spring is attached to the top of a doorframe and a weight with mass 7.00 kg is hung from the other end. The final length of the spring is 42.0 cm. (a) Find its spring constant (in N/m). N/m (b) The weight and the spring are taken down. Two people pull in opposite directions on the ends of the spring, each with a force of 160 N. Find the length (in m) of the spring in this situation. (c) What If? What would be the length (in m) of the spring if it were now attached to the vertical portion of the doorframe and stretched horizontally by a single person exerting a force of 160 N? m
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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