A 26 kg block on a horizontal surface is attached to a 752 N/m spring. The block is exhibiting SHM and has a total energy of 7752 J. The surface is frictionless. Determine the amplitude and the max speed. Part 3: Finding v A simple harmonic oscillator (SHO) with a mass of 22 kg has a total energy of 6243 J. Determine how fast the SHO moving when its potential energy is 10 times its kinetic energy. Express your answer using appropriate mks units. v= Part 4: Finding x A Vmax= Determine the position of a SHO (a block-spring system) when its total energy is 8 times its potential energy. Express your answer in terms of the amplitude [Example: if you determined x = 0.86 x A, you would enter 0.86 into the box below.]. position=Ax[ Enter a number.
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.
![Part 2: Block on a horizontal surface
A 26 kg block on a horizontal surface is attached to a 752 N/m spring. The block is exhibiting SHM and has a total energy of 7752 J. The surface frictionless. Determine the amplitude and the max speed.
Part 3: Finding v
A simple harmonic oscillator (SHO) with a mass of 22 kg has a total energy of 6243 J. Determine how fast the SHO is moving when its potential energy is 10 times its kinetic energy. Express your answer using
appropriate mks units.
V=
A =
Vmax=
Part 4: Finding x
Determine the position of a SHO (a block-spring system) when its total energy is 8 times its potential energy. Express your answer in terms of the amplitude [Example: if you determined x = 0.86 x A, you would
enter 0.86 into the box below.].
position = A x
x
Enter a number.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb02a115-6c25-4160-8b34-cae01e1dd2a2%2Fe6bcb12c-06dd-4e59-b4d5-ad6fba74a18b%2F9jzigx5_processed.jpeg&w=3840&q=75)
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