A spring stretches 23.5 cm when a mass of 1.25 kg is attached to it in its rest position. Then, a mass of 1.75 kg is added to the first mass and the springs is released from its un-stretched position and allowed to oscillate. What is the spring constant? What is the maximum displacement of the two masses when in equilibrium?
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.
I am stuck on this problem, I have answered 2 of them which is the frequency that the masses oscillate (53.2N/m) and the masses reach their maximum displacement (8.46 J)
A spring stretches 23.5 cm when a mass of 1.25 kg is attached to it in its rest position. Then, a mass of 1.75 kg is added to the first mass and the springs is released from its un-stretched position and allowed to oscillate.
- What is the spring constant?
- What is the maximum displacement of the two masses when in equilibrium?
![A spring stretches 23.5 cm when a mass of 1.25 kg is attached to it in its rest position. Then, a mass of 1.75 kg is added to the first
mass and the springs is released from its un-stretched position and allowed to oscillate.
See the Support Video on Waves Lab Help if unsure of calculations.
Prompts
What is the spring constant of the spring?
What is the frequency that the masses oscillate?
What is the maximum displacement of the two masses when
in equilibrium ? [The bold word is your clue on how to solve
this!]
What is the energy stored in the spring when the masses
reach their maximum displacement?
Submitted Answers
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53.2 N/m
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8.46 J](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0fc96c1e-1901-4ed3-a948-7a25c6a6847d%2F3ae2fb56-9eb7-45e6-8daa-de9832c6988f%2Fxfpdvz_processed.png&w=3840&q=75)
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