In studies of harmonic systems and of circular motion, radians are always used instead of degrees in derivations. This is ________________.
an arbitrary choice or preference. |
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necessary and related to the arc length equation. |
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because there is not a one-to-one mapping of theta to sin(theta) when using degrees. |
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because we like Greece more than Babylon. |
4 points
QUESTION 12
Which of the following is not unique to simple harmonic systems and could apply to any harmonic system?
Motion is described by sinusoidal functions. |
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The amplitude has no effect on the period of the motion. |
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Subject to a linear restoring force alone. |
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Has a well-defined period of motion. |
4 points
QUESTION 13
The mass of a pendulum without friction forces affects its motion.
A little bit. |
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Not at all. |
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Dramatically. |
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Only when mass is large compared to string length. |
4 points
QUESTION 14
While viewing two phase portraits, one is a perfect circle and the other is an ellipse. There is
more energy in the first system. |
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nothing fundamentally different about the two systems. |
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more damping in system one. |
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energy being added to the first system. |
4 points
QUESTION 15
Centripetal force is
always directed inward toward the path's center. |
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always directed outward opposite the path's center. |
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directed either inward or outward along the radial direction. |
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dependent on the details of any given problem. |
The answers are given below.
12. Answer: Subject to a linear restoring force alone
Explanation: Besides linear restoring force other forces also act in simple harmonic motion.
13. Answer: Not at all.
Explanation:The mass of a pendulum without friction forces does not affect its motion.
14. Answer: nothing fundamentally different about the two systems.
Explanation:While viewing two phase portraits, one is a perfect circle and the other is an ellipse. There is nothing fundamentally different about the two systems, because in both system the object is subjected to a central force. The only difference is in the eccentricity of their path.
15. Answer: always directed outward opposite the path's center.
Explanation: Centripetal force is always directed outward opposite the path's center.
Thank You.
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