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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 69E
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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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