A spring, hanging from the ceiling stretches 0.2 m when a0.3 kg mass is gently suspended from it. The spring is then removed from the ceiling and placed in a horizontal direction with the same 0.3 kg mass resting on a frictionless surface. The mass is pulled such that the spring is stretched 0.15m from the equilibrium point and released from rest. Using 10 for gravity: Determine (a) The spring stiffness constant, (b) the amplitude of the horizontal oscillation in meters, (c) the magnitude of the maximum velocity in meters per second, (d) the magnitude of the velocity when then mass is 0.05m from the equilibrium in meters per second, (e) the magnitude of the maximum acceleration of the mass in meters per second squared.
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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