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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.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 71E
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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.)
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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