A spring of unstretched length L and spring constant k is attached to a wall and an object of mass M resting on a frictionless surface (see figure). The object is pulled such that the spring is stretched a distance A then released. Let the +x-direction be to the right. What is the position function x (t) for the object? Take x = 0 to be the position of the object when the spring is relaxed, and make the phase angle as simple as possible. What is the velocity v, of the object at t=T, where Tis the period? Write the expression using fractions, not decimal values. What is the acceleration a, of the object at f= x (t) = 4 sin (¹) A Incorrect Ux = L Incorrect k m 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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