Answer: hopes this helps i spent a lot of time on it !!!:)lol
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Step-by-step explanation:
Answer:
Step-by-step explanation:
Given are two rectangles MNOL and IJKH
MNOL is the image and IJKH is the preimage.
OBviously similarity is preserved between these.
Hence sides will be proportional
i.e. l1/l2 = w1/w2 = Scale factor k
This can also be written as
Scale factor square = 
Scale factor = square root of ratio of rectangle areas
Find ratio as
k = Scale factor = square root of the above fraction
=
Radius: r=18 feet
Cental Angle: A=44°
Each cycle (one back and forth) lasts 12 seconds
In each cycle the pendulum swings:
L=(A/360°) 2 pi r
L=(44°/360°)(2)(3.141592654)(18 feet)
L=(0.122222222)(113.0973355 feet)
L=13.82300764 feet
Rounded to 3 decimal places:
L=13.823 feet
Each minute (60 seconds) the pendulum makes:
Number of cycles: n=(60 seconds) / (12 seconds)→n=5 cycles
Then, each minute, the pendulum swings:
T=nL=5(13.823 feet)→T=69.115 feet
Answer: Each minute, the pendulum swings 69.115 feet.
Second moment of area about an axis along any diameter in the plane of the cross section (i.e. x-x, y-y) is each equal to (1/4)pi r^4.
The second moment of area about the zz-axis (along the axis of the cylinder) is the sum of the two, namely (1/2)pi r^4.
The derivation is by integration of the following:
int int y^2 dA
over the area of the cross section, and can be found in any book on mechanics of materials.
