A 2.30 kg cube rests upon a frictionless, horizontal floor. The cube is attached to a horizontal spring (of force constant k = 430 N/m) whose other end is anchored to a nearby wall. The cube is pulled until it lies a distance xi = 4.70 cm from its equilibrium position (x = 0). The cube is then released and undergoes simple harmonic motion. A horizontal spring labeled k extends along the x-axis. It has a block labeled m attached to its right end and a wall attached to its left end. A dotted line shows the position the block would be at the x = 0 position. The block is shown to the right of this, at the x = xi position. (a)Calculate how much work must be done (in J) to stretch the spring from equilibrium (x = 0 )to the pre-release position (xi). J (b)With what speed (in m/s) does the cube pass through the equilibrium position once it has been released from xi?
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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