A jack-in-the-box toy consists of a clown mounted to a spring inside of a box. When the box open the clown pops out and oscillates. Suppose the clown only oscillates vertically and the clown has a mass of .44 kg. The spring it is mounted on has a force constant of .84 N/m. (a) What is the maximum velocity of the clown if the amplitude of the oscillation is 3.00 cm? Number m/s (b) How many joules of kinetic energy does the clown have its maximum velocity? Number J
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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spring inside of a box. When the box open the clown
pops out and oscillates. Suppose the clown only
oscillates vertically and the clown has a mass of .44 kg.
The spring it is mounted on has a force constant of .84
N/m.
(a) What is the maximum velocity of the clown if the
amplitude of the oscillation is 3.00 cm?
Number m/s
(b) How many joules of kinetic energy does the clown
have its maximum velocity?
Number J"
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