A 20-centimeter pendulum moves according to the equation ? = 0.27 cos(6t), where ? is the angular displacement from the vertical in radians and t is the time in seconds. Determine the maximum angular displacement ?max and the rate of change of ? when t = 5 seconds. (Round your answers to three decimal places.) ?max =   ?'(5) =

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A 20-centimeter pendulum moves according to the equation ? = 0.27 cos(6t), where ? is the angular displacement from the vertical in radians and t is the time in seconds. Determine the maximum angular displacement ?max and the rate of change of ? when t = 5 seconds. (Round your answers to three decimal places.)

?max =  
?'(5) =  

 

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Introduction:

We are given simple harmonic motion shown by pendulum. We are given equation of angular displacement from mean position which is vertical position. We find find the maximum angular displacement. We then find the rate of change of angular displacement for given time.

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