Using the figure #1 and figure 2 (all the figures will be sent by email), it is required to check the slab behaviour for the roof floor in the sport club under throwing the lifting and the movement of using the sports equipment, in order to accomplish that, a simulation was performed for the slab and the vibrations (displacements) with time were found to have the following relationship: y1 = 0.08 sin (2532 +3.45t) cm In your report, you are expected to: I. Define the maximum amplitude, frequency and phase angle of the displacement function. 2. You are expected to apply compound angle identities in order to separate the displacement function into function in terms of sine and cosine. It is considered that the movement of the water in the Olympiad swimming pool will create a vibration in the same direction of yl of the following equation: y2 = {sin(8.78t – 0.0475) cm 3. You are expected to model the combination between the two sine waves and find the displacement at time 2 using both analytical and graphical methods.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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I need help in task 3 , i provided the previous tasks if needed

Using the figure #1 and figure 2 (all the figures will be sent by email), it is required to check the slab behaviour
for the roof floor in the sport club under throwing the lifting and the movement of using the sports equipment,
in order to accomplish that, a simulation was performed for the slab and the vibrations (displacements) with
time were found to have the following relationship:
y1 = 0.08 sin (2532 +3.45t) cm
In your report, you are expected to:
I. Define the maximum amplitude, frequency and phase angle of the displacement function.
2. You are expected to apply compound angle identities in order to separate the displacement function into
function in terms of sine and cosine.
It is considered that the movement of the water in the Olympiad swimming pool will create a vibration in the
same direction of yl of the following equation:
y2 = {sin(8.78t – 0.0475) cm
3. You are expected to model the combination between the two sine waves and find the displacement at time
2 using both analytical and graphical methods.
Transcribed Image Text:Using the figure #1 and figure 2 (all the figures will be sent by email), it is required to check the slab behaviour for the roof floor in the sport club under throwing the lifting and the movement of using the sports equipment, in order to accomplish that, a simulation was performed for the slab and the vibrations (displacements) with time were found to have the following relationship: y1 = 0.08 sin (2532 +3.45t) cm In your report, you are expected to: I. Define the maximum amplitude, frequency and phase angle of the displacement function. 2. You are expected to apply compound angle identities in order to separate the displacement function into function in terms of sine and cosine. It is considered that the movement of the water in the Olympiad swimming pool will create a vibration in the same direction of yl of the following equation: y2 = {sin(8.78t – 0.0475) cm 3. You are expected to model the combination between the two sine waves and find the displacement at time 2 using both analytical and graphical methods.
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