(ii) A mass of 4 kg is attached to a spring and rests on a horizontal surface. The mass is then displaced horizontally 26 mm outward from the spring and then released to vibrate. If the period of harmonic motion is 0.75 s, determine. (a) (b) (c) the frequency f of the harmonic motion the force required to give the mass the displacement of 26 mm at the beginning. the time taken to move horizontally inwards for the first 12 mm after releasing.
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.
Answer the following questions a, b and c:
Step by step
Solved in 5 steps with 5 images
