Consider a block with mass mm attached to a spring with spring constant kk, and the other end of the spring is held stationary. The block is displaced a distance AA from the equilibrium position. When the block is released from rest it undergoes simple harmonic motion, and its time-dependent position given by x(t)=Acos(ωt) Enter an expression for the time-dependent elastic potential energy of the spring-block position using only the symbols in the palette. Enter an expression for the time-dependent velocity of the block using only the symbols in the palette
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.
Consider a block with mass mm attached to a spring with spring constant kk, and the other end of the spring is held stationary. The block is displaced a distance AA from the equilibrium position. When the block is released from rest it undergoes
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
