The figure below shows a plot of the position as a function of time for a partic

Question

The figure below shows a plot of the position as a function of time for a particle undergoing simple harmonic motion. Identify the following points on this graph.

(a) Where is the speed largest? (Select all that apply.)

Point 1

Point 2

Point 3

Point 4

Point 5

Point 6

Point 7

(b) Where is the velocity positive with its magnitude being largest? (Select all that apply.)

Point 1

Point 2

Point 3

Point 4

Point 5

Point 6

Point 7

(c) Where is the magnitude of the acceleration largest? (Select all that apply.)

Point 1

Point 2

Point 3

Point 4

Point 5

Point 6

Point 7

(d) Where is the net force on the particle zero? (Select all that apply.)
Point 1

Point 2

Point 3

Point 4

Point 5

Point 6

Point 7

Explanation / Answer

Here the simple harmonic motion appears to be the sine curve so the velocity would be the cosine curve. The speed (magnitude of the cosine) is largest when sine is zero so for a we would have 1, 4 and 6.

Velocity would be positive with its magnitude being largest at 1 and 6.

Acceleration is negative sine so the magnitude woulld be largest at 2, 5, and 7.

Force equals mass times acceleration so the force would be smallest when the acceleration is zero which would be at 1, 4, and 6 (where sine is 0)

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.