A 4.00 kg mass is connected to a spring with a spring constant of 9.00 N/m. The velocity is given by the expression v(t) = (12.8 cm/s) cos(ω t + π/4). What is the maximum velocity of the mass?
Question
A 4.00 kg mass is connected to a spring with a spring constant of 9.00 N/m. The velocity is given by the expression v(t) = (12.8 cm/s) cos(ω t + π/4). What is the maximum velocity of the mass?
Solution
The maximum velocity of the mass is given by the amplitude of the cosine function in the expression for v(t). In this case, the amplitude is 12.8 cm/s. Therefore, the maximum velocity of the mass is 12.8 cm/s.
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