The total mechanical energy in a system consisting of a block attached to a spring is 14.0 J. The mass of the block is 0.75kg. The motion is frictionless and horizontal. The force constant of the spring is 110.0 N/m. a) What is the maximum amplitude of vibration of the spring (maximum compression or extension) from the equilibrium? b) What would be the maximum speed of the block? c) What is the speed of the mass when it is 10.0cm from equilibrium?
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.
The total mechanical energy in a system consisting of
a block attached to a spring is 14.0 J. The mass of the block is 0.75kg.
The motion is frictionless and horizontal. The force constant of the
spring is 110.0 N/m.
a) What is the maximum amplitude of vibration of the spring (maximum
compression or extension) from the equilibrium?
b) What would be the maximum speed of the block?
c) What is the speed of the mass when it is 10.0cm from equilibrium?
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