1. A steel ball mass 0.35kg is free to move on a horizontal spring, with spring constant 475 N m1, is firmly anchored at one A and is connected to the ball at the other end. The ball is initially at rest at ta neutral point which corresponds to the natural length of the spring. If the ball i displaced 50 mm to the right, and then released to set it in SHM, calculate the following: a) The angular velocity as defined by the general SHM expression. b) The period and frequency of oscillation. c) The acceleration at the point of release.
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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