A 0.600 kg block is attached to the top of a vertical spring (with spring constant 78.4 N/m) and then pushed down. After it is released from rest, the block momentarily stops at the point that the spring is neither stretched nor compressed. What was the compression of the spring just before the block was released? O 0.150 m O 6.67 m O 0.387 m O 0.0750 m O 2,58 m
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.
Given values:
Mass of the block,
Spring constant,
Hook's law states that force exerted on a spring to extend or compress it, is directly proportional to the deformation in length of the spring.
Hook's law is given by,
Deforming force, ...(1)
Where is spring constant and is deformation in length.
The weight of a body is the product mass and acceleration due to gravity .
Weight, ...(2)
Where is mass of the object and is acceleration due to gravity.
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