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Decide whether the following statement is true or false. If the distance d of an object from its rest position at time t is given by a sinusoidal graph, the motion of the object is simple harmonic motion. Choose the correct answer below. O A. True, because every motion given by a sinusoidal graph is always simple harmonic motion. O B. True, because the theorem of simple harmonic motion states that an object that moves on a coordinate axis so that the distance d from its rest position at time t is d = a cos (mt) or d%= a sin (ot), where a and o> 0. O C. False, because the theorem of simple harmonic motion does not state that an object that moves on a coordinate axis so that the distance d from its rest position at time t is d=a cos (ot) or d=a sin (ot) where a and o> 0. O D. False, because the motion given by a sinusoidal graph is always damped motion.

Decide whether the following statement is true or false. If the distance d of an object from its rest position at time t is given by a sinusoidal graph, the motion of the object is simple harmonic motion. Choose the correct answer below. O A. True, because every motion given by a sinusoidal graph is always simple harmonic motion. O B. True, because the theorem of simple harmonic motion states that an object that moves on a coordinate axis so that the distance d from its rest position at time t is d = a cos (mt) or d%= a sin (ot), where a and o> 0. O C. False, because the theorem of simple harmonic motion does not state that an object that moves on a coordinate axis so that the distance d from its rest position at time t is d=a cos (ot) or d=a sin (ot) where a and o> 0. O D. False, because the motion given by a sinusoidal graph is always damped motion.

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Decide whether the following statement is true or false. If the distance d of an object from its rest position at time t is given by a sinusoidal graph, the motion of the object is simple harmonic motion. Choose the correct answer below. O A. True, because every motion given by a sinusoidal graph is always simple harmonic motion. O B. True, because the theorem of simple harmonic motion states that an object that moves on a coordinate axis so that the distance d from its rest position at time t is d=a cos (ot) or d= a sin (ot), where a and o> 0. O C. False, because the theorem of simple harmonic motion does not state that an object that moves on a coordinate axis so that the distance d from its rest position at time t is d= a cos (ot) or d=a sin (ot) where a and o> 0. O D. False, because the motion given by a sinusoidal graph is always damped motion.
Transcribed Image Text:Decide whether the following statement is true or false. If the distance d of an object from its rest position at time t is given by a sinusoidal graph, the motion of the object is simple harmonic motion. Choose the correct answer below. O A. True, because every motion given by a sinusoidal graph is always simple harmonic motion. O B. True, because the theorem of simple harmonic motion states that an object that moves on a coordinate axis so that the distance d from its rest position at time t is d=a cos (ot) or d= a sin (ot), where a and o> 0. O C. False, because the theorem of simple harmonic motion does not state that an object that moves on a coordinate axis so that the distance d from its rest position at time t is d= a cos (ot) or d=a sin (ot) where a and o> 0. O D. False, because the motion given by a sinusoidal graph is always damped motion.
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