A6. The pendulum in a grandfather clock makes 20 complete swings per minute from points A...

Transcribed Image Text:

A6. The pendulum in a grandfather clock makes 20 complete swings per minute from points A to B then back to A again. The distance between the points A and B, which are at the maximum end of the swing is 40 cm. a) Make a sketch to show two complete cycles of the pendulum starting from point A. b) Determine an equation that will predict the perpendicular distance p from the vertical line exactly between A and B as a function of time. c) What is the position of the pendulum after 40 seconds? C7. Suppose M and m represent the maximum and minimum values, respectively, of a sinusoidal (sine) function. Write formulas in terms of M and m for: (15) a) the amplitude b) the vertical translation c) the range T8. If 3sinß +2cosa = 4 and 7sinß- 3cosa = 3, determine the values for sin ẞ and (15) cos a. T9. If m= 1 sin x sin x and = (15) 1 COS X - cos x, prove that m+n³ = (mn). (15) A6. The pendulum in a grandfather clock makes 20 complete swings per minute from points A to B then back to A again. The distance between the points A and B, which are at the maximum end of the swing is 40 cm. a) Make a sketch to show two complete cycles of the pendulum starting from point A. b) Determine an equation that will predict the perpendicular distance p from the vertical line exactly between A and B as a function of time. c) What is the position of the pendulum after 40 seconds? C7. Suppose M and m represent the maximum and minimum values, respectively, of a sinusoidal (sine) function. Write formulas in terms of M and m for: (15) a) the amplitude b) the vertical translation c) the range T8. If 3sinß +2cosa = 4 and 7sinß- 3cosa = 3, determine the values for sin ẞ and (15) cos a. T9. If m= 1 sin x sin x and = (15) 1 COS X - cos x, prove that m+n³ = (mn). (15)

Answer rating: 100% (QA)

A1 a Here is a sketch showing two complete cycles of the pendulum starting from point A b To determine an equation that predicts the perpendicular distance p from the vertical line exactly between A a... View the full answer