A block weighing 10.0 N is attached to the lower end of a vertical spring (k =200.0 N/m), the other end of which is attached to a ceiling.The block oscillates vertically and has a kinetic energy of 2.00 J as it passes through the point at which the spring is unstretched. (a) What is the period of the oscillation? (b) Use the law of conservation of energy to determine the maximum distance the block moves both above and below the point at which the spring is unstretched. (These are not necessarily the same.) (c) What is the amplitude of the oscillation? (d) What is the maximum kinetic energy of the block as it oscillates?
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 block weighing 10.0 N is attached to the lower end of a
vertical spring (k =200.0 N/m), the other end of which is attached
to a ceiling.The block oscillates vertically and has a kinetic energy
of 2.00 J as it passes through the point at which the spring is
unstretched. (a) What is the period of the oscillation? (b) Use the
law of conservation of energy to determine the maximum distance
the block moves both above and below the point at which the
spring is unstretched. (These are not necessarily the same.)
(c) What is the amplitude of the oscillation? (d) What is the maximum
kinetic energy of the block as it oscillates?
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