Figure 5.2 shows a spring undergoing simple har- monic motion. The points y Ao and y Ao are the endpoints of the spring's motion. Let y 0 be the equilibrium position with the mass attached to the spring. (a) At what point is the magnitude of the velocity the largest? (b) At which points is its velocity zero? (c) At which points is the magnitude of the acceleration the largest? (d) At which point is its acceleration zero? Explain your answers thoroughly. y = A。 0 y=0 Figure 5.2: Spring undergoing simple harmonic motion 35
Figure 5.2 shows a spring undergoing simple har- monic motion. The points y Ao and y Ao are the endpoints of the spring's motion. Let y 0 be the equilibrium position with the mass attached to the spring. (a) At what point is the magnitude of the velocity the largest? (b) At which points is its velocity zero? (c) At which points is the magnitude of the acceleration the largest? (d) At which point is its acceleration zero? Explain your answers thoroughly. y = A。 0 y=0 Figure 5.2: Spring undergoing simple harmonic motion 35
Figure 5.2 shows a spring undergoing simple har- monic motion. The points y Ao and y Ao are the endpoints of the spring's motion. Let y 0 be the equilibrium position with the mass attached to the spring. (a) At what point is the magnitude of the velocity the largest? (b) At which points is its velocity zero? (c) At which points is the magnitude of the acceleration the largest? (d) At which point is its acceleration zero? Explain your answers thoroughly. y = A。 0 y=0 Figure 5.2: Spring undergoing simple harmonic motion 35
Figure 5.2 shows a spring undergoing simple harmonic motion. The points y=A0 and y=-A0 are the endpoints of the spring’s motion. Let y=0 be the equilibrium position with the mass attached to the spring. (a) At what point is the magnitude of the velocity the largest? (b) At which points is its velocity zero? (c) At which points is the magnitude of the acceleration the largest? (d) At which point is it’s acceleration zero?
Transcribed Image Text:Figure 5.2 shows a spring undergoing simple har-
monic motion. The points y Ao and y Ao
are the endpoints of the spring's motion. Let y 0 be
the equilibrium position with the mass attached to the
spring. (a) At what point is the magnitude of the
velocity the largest? (b) At which points is its velocity
zero? (c) At which points is the magnitude of the
acceleration the largest? (d) At which point is its
acceleration zero? Explain your answers thoroughly.
y = A。
0
y=0
Figure 5.2: Spring undergoing
simple harmonic motion
35
Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.
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