A body of mass 5.0 kg moves in simple harmonic motion according to the equation x = 0.040 sin30t + $\pi$/6) where the units are SI. The maximum speed of this body is approximately
A) 0.013 m/s
B) 0.40 m/s
C) 0.60 m/s
D) 1.2 m/s
E) 30 m/s

Question

A body of mass 5.0 kg moves in simple harmonic motion according to the equation x = 0.040 sin30t +  $\pi$/6) where the units are SI. The maximum speed of this body is approximately
A) 0.013 m/s
B) 0.40 m/s
C) 0.60 m/s
D) 1.2 m/s
E) 30 m/s

Quizplus · Accepted Answer

The maximum speed in simple harmonic motion is given by vmax = Aω, where A is the amplitude and ω is the angular frequency. Here, A = 0.040 m and ω = 30 rad/s. Thus, vmax = 0.040 * 30 = 1.2 m/s.

A Body of Mass 5 π\piπ /6) Where the Units Are SI

A Body of Mass 5 $\pi$ /6) Where the Units Are SI