A spring that has stiffness constant 224N/m rests at its equilibrium length of 14cm, with one end hanging from a ceiling. You gently hang a block of mass 2.1 kg onto the end of the spring, the spring stretches beyond its equilibrium length, and you gently bring the spring to rest at its new equilibrium position. a) Determine the magnitude of the displacement of the spring. b) Determine the elastic potential energy stored in the spring.
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 spring that has stiffness constant 224N/m rests at its equilibrium length of 14cm, with one end hanging from a ceiling. You gently hang a block of mass 2.1 kg onto the end of the spring, the spring stretches beyond its equilibrium length, and you gently bring the spring to rest at its new equilibrium position.
a) Determine the magnitude of the displacement of the spring.
b) Determine the elastic potential energy stored in the spring.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
