Asked by Idali
A 2.0 kg mass is attached to the end of horizontal spring (k = 50 N/m) and set into simple harmonic motion with an amplitude of 0.10 m. What is the maximum speed of the mass?
(Assume there is no friction.)
A. 0.25 m/s
B. 0.5 m/s
C. 1.0 m/s
D. 2.5 m/s
E. 5.0 m/s
(Assume there is no friction.)
A. 0.25 m/s
B. 0.5 m/s
C. 1.0 m/s
D. 2.5 m/s
E. 5.0 m/s
Answers
Answered by
Steve
Since the period T = 2π√(m/k)
y = 0.1 sin(√(k/m) t) = 0.1 sin(5t)
the speed
v = 0.5 cos(5t) which has a maximum value of 0.5
y = 0.1 sin(√(k/m) t) = 0.1 sin(5t)
the speed
v = 0.5 cos(5t) which has a maximum value of 0.5
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