The figure below shows a pendulum with length L that makes a maximum angle with the vertical. Using Newton's second law, it can be shown that the period 7 (the time for one complete swing) is given by dx T=4 Jo √1-k² sin²(x)' (2%) and where k sin and g is the acceleration due to gravity. If L = 3 m and 8 = 42°, use Simpson's rule with n = 10 to find the period (in s). (Use g = 9.8 m/s². Round your answer to five decimal places.)
The figure below shows a pendulum with length L that makes a maximum angle with the vertical. Using Newton's second law, it can be shown that the period 7 (the time for one complete swing) is given by dx T=4 Jo √1-k² sin²(x)' (2%) and where k sin and g is the acceleration due to gravity. If L = 3 m and 8 = 42°, use Simpson's rule with n = 10 to find the period (in s). (Use g = 9.8 m/s². Round your answer to five decimal places.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![The figure below shows a pendulum with length L that makes a maximum angle with the vertical.
////////////////////////
| 0
0°
0
Using Newton's second law, it can be shown that the period 7 (the time for one complete swing) is given by
T = 4₁
where k = sin
L
√
sin (10)
π/2
√
and
dx
1 - k² sin²(x)
I
g is the acceleration due to gravity. If L = 3 m and 8 = 42°, use Simpson's rule with n = 10 to find the period (in s). (Use g = 9.8 m/s². Round your
answer to five decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd6e2a554-869f-4833-a2ce-cdf3e5e9234f%2F9df42912-dfb2-4aad-9a83-61b7e7bf5178%2Feyood1o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The figure below shows a pendulum with length L that makes a maximum angle with the vertical.
////////////////////////
| 0
0°
0
Using Newton's second law, it can be shown that the period 7 (the time for one complete swing) is given by
T = 4₁
where k = sin
L
√
sin (10)
π/2
√
and
dx
1 - k² sin²(x)
I
g is the acceleration due to gravity. If L = 3 m and 8 = 42°, use Simpson's rule with n = 10 to find the period (in s). (Use g = 9.8 m/s². Round your
answer to five decimal places.)
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