A mass of 0.5kg is suspended from a spring of negligible mass, as shown figure 5(a) A student pulls the mass down a distance of 60mm and holds it in the position shown in figure 5(b). The tension in the spring is now 7N. A) By considering the vertical forces acting on the mass, calculate the force applied by the student to hold the mass in this position. B) The releases the mass, which performs Simple Harmonic Motion. I) State the relationship between the unbalanced force acting on the mass and the displacement of the mass. Ii) Calculate the acceleration of the mass immediately after its release. Iii) State the initial amplitude of the oscillations.
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.
A mass of 0.5kg is suspended from a spring of negligible mass, as shown figure 5(a)
A student pulls the mass down a distance of 60mm and holds it in the position shown in figure 5(b). The tension in the spring is now 7N.
A) By considering the vertical forces acting on the mass, calculate the force applied by the student to hold the mass in this position.
B) The releases the mass, which performs
I) State the relationship between the unbalanced force acting on the mass and the displacement of the mass.
Ii) Calculate the acceleration of the mass immediately after its release.
Iii) State the initial amplitude of the oscillations.
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