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Chapter 8: Q. 12 (page 550)
Rework Problem 8 under the same conditions except that, at time t = 0, the object is at its resting position and moving down.
The equation of object can be given as
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Mercury The distance from the Sun to Earth is approximately 149,600,000 kilometers (km). The distance from the Sun to Mercury is approximately 57,910,000 km. The elongation angle a is the angle formed between the line of sight from Earth to the Sun and the line of sight from Earth to Mercury. See the figure. Suppose that the elongation angle for Mercury is 15°. Use this information to find the possible distances between Earth and Mercury.
An object of mass m (in grams) attached to a coiled spring with damping factor b (in grams per second) is pulled down a distance a (in centimeters) from its rest position and then released. Assume that the positive direction of the motion is up and the period is T (in seconds) under simple harmonic motion.
(a) Develop a model that relates the distance d of the object from its rest position after t seconds.
(b) Graph the equation found in part (a) for 5 oscillations using a graphing utility.
Given values:
Mollweide’s Formula Another form of Mollweide’s Formula is
Derive it.
Area of a Segment Find the area of the segment of a circle whose radius is 5 inches, formed by a central angle of .
Solve each triangle.
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