Please select one of the choices and answer both questions. 1) The maximum accel

Question

Please select one of the choices and answer both questions.
1) The maximum acceleration of a body in simple harmonic motion occurs when the body a. Is at maximum amplitude b. Is at its equilibrium point c. Is at its maximum velocity d. Has a net force of zero acting on it 2) An underdamped oscillation a. Gles through one cycle and stops b. Continues to oscillate with each cycle having the same amplitude c. Continues to oscillate with increasing amplitude until the system fails d. Continues to oscillate with decreasing amplitude, eventually stopping Please select one of the choices and answer both questions.
1) The maximum acceleration of a body in simple harmonic motion occurs when the body a. Is at maximum amplitude b. Is at its equilibrium point c. Is at its maximum velocity d. Has a net force of zero acting on it Please select one of the choices and answer both questions.
1) The maximum acceleration of a body in simple harmonic motion occurs when the body a. Is at maximum amplitude b. Is at its equilibrium point c. Is at its maximum velocity d. Has a net force of zero acting on it Please select one of the choices and answer both questions.
1) The maximum acceleration of a body in simple harmonic motion occurs when the body a. Is at maximum amplitude b. Is at its equilibrium point c. Is at its maximum velocity d. Has a net force of zero acting on it 2) An underdamped oscillation a. Gles through one cycle and stops b. Continues to oscillate with each cycle having the same amplitude c. Continues to oscillate with increasing amplitude until the system fails d. Continues to oscillate with decreasing amplitude, eventually stopping

Explanation / Answer

1) Option A . The maximum acceleration occurs where the argument of cosine is -1 or 1. Thus the maximum acceleration is ±^2A which occurs at the ends of the oscillations, as this is where the direction changes.

2) Option D. Continues to oscillate with decreasing amplitude, eventually stopping The system oscillates (at reduced frequency compared to the undamped case) with the amplitude gradually decreasing to zero

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