A block of mass 0.467 kg is hung from a vertical spring and allowed to reach equilibrium at rest. As a result, the spring is stretched by 0.623 m. Find the spring constant. The block is then pulled down an additional 0.372 m0.372 m and released from rest. Assuming no damping, what is its period of oscillation? The block is then pulled down an additional 0.372 m0.372 m and released from rest. Assuming no damping, what is its period of oscillation?
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 of mass 0.467 kg is hung from a vertical spring and allowed to reach equilibrium at rest. As a result, the spring is stretched by 0.623 m. Find the spring constant.
The block is then pulled down an additional 0.372 m0.372 m and released from rest. Assuming no damping, what is its period of oscillation?
The block is then pulled down an additional 0.372 m0.372 m and released from rest. Assuming no damping, what is its period of oscillation?
 alt="A block of mass 0.467 kg is hung from a vertical spring
N/m
and allowed to reach equilibrium at rest. As a result, the
spring is stretched by 0.623 m. Find the spring constant.
The block is then pulled down an additional 0.372 m and
released from rest. Assuming no damping, what is its
period of oscillation?
How high above the point of release does the block reach as
it oscillates?
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