A spring with spring constant k=12.5N/m is hung vertically. A mass of 0.500 kg is then suspended from the spring. Determine the displacement of the spring's end due to the weight of the 0.500 kg object.
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 with spring constant k=12.5N/m is hung vertically. A mass of 0.500 kg is then
suspended from the spring. Determine the displacement of the spring's end due to the
weight of the 0.500 kg object.
An object with a mass of 0.400 kg is lifted by a vertical distance of 0.450m in the
gravitational field of the earth. Determine the change in the gravitational potential energy.
The spring constant k=8.75N/m is hanging vertically from a rigid support. The mass of
0.500 kg is put at the spring's end and supported by a hand at a point where the spring's
displacement is 0.250 m. Suddenly, the mass is released and allowed to fall. What is the
spring's displacement from its equilibrium at the lowest position of the mass?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe98776ff-1bff-4893-a040-a54c02ab3211%2F0521ad63-c321-42b8-80da-cca51297b983%2Fa6yz09r_processed.png&w=3840&q=75)
![When the car (a) went up the inclined plane and (b) went down the inclined plane,
determine the work done by the suspended weight.
0 = 30°
0 = 45°
Car moving up incline
Car moving down incline
Fig. 4: Work done by the suspended weight
When the car (a) went up the inclined plane and (b) went down the inclined plane,
determine the work done by gravity acting on the car.
0 = 30°
0 = 45°
Car moving up incline
Car moving down incline](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe98776ff-1bff-4893-a040-a54c02ab3211%2F0521ad63-c321-42b8-80da-cca51297b983%2Fpbc3or_processed.png&w=3840&q=75)
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