For the damped oscillator system , the block has a mass of 1.50 kg and the spring constant is8.00 N/m.The damping force is given by =b(dx/dt), where b 230g/s. The block is pulled down 12.0 cm and released. (a) Calculatethe time required for the amplitude of the resulting oscillations tofall to one-third of its initial value. (b) How many oscillations aremade by the block in this time?
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.
For the damped oscillator system , the block has a mass of 1.50 kg and the spring constant is
8.00 N/m.The damping force is given by =b(dx/dt), where b 230
g/s. The block is pulled down 12.0 cm and released. (a) Calculate
the time required for the amplitude of the resulting oscillations to
fall to one-third of its initial value. (b) How many oscillations are
made by the block in this time?
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