Assume the mass has a velocity of 35 m/s in downhill direction when it reaches spring. Assume there is no friction for this problem. Develop an EXCEL file that plots the distance travelled in X direction versus velocity of mass in X direction until the mass stops. (Distance X should be on
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.
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The following diagram applies to problem 3.
H
m
K
3. Assume the mass has a velocity of 35 m/s in downhill direction when it reaches spring. Assume
there is no friction for this problem. Develop an EXCEL file that plots the distance travelled in X
direction versus velocity of mass in X direction until the mass stops. (Distance X should be on
horizontal axis and velocity should be on vertical axis). The following data set applies.
m= 50 kg
K= 100 N/meter
The following 3 problems (problems 4 through 6) do not involve use of EXCEL. They should be solved by
pencil and paper and a calculator and all work must be shown in detail.
4. For the condition of problem 1, calculate mass velocity in D direction after 20 meters.
5. For the condition of problem 2, calculate mass velocity in D direction after 20 meters of travel in
D direction.
6. For the condition of problem 3, calculate mass velocity in X direction at the moment the spring
has deflected 4 meters.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F78883faa-bef2-420e-8973-97c3dd66b89d%2F03ecbe69-34d1-4899-839a-1e378b0aeb70%2Flfzto1_processed.png&w=3840&q=75)
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