A Mass M = 2 $\omega$ _dt),where F_d = 75 $\omega$ _d That Will Produce the Largest Amplitude Response in the Wall

A mass M = 2.54 kg is attached to a wall with a spring with spring constant k = 375 N/m.The mass slides on a frictionless floor.The spring and mass are immersed in a fluid with damping coefficient 8.25 kg/s.An external sinusoidal horizontal force F(t) = F_dcos( $\omega$ _dt) ,where F_d = 75.4 N,is applied to the mass,causing the mass to oscillate back and forth.You may neglect the mass of the spring.The driving frequency $\omega$ _d that will produce the largest amplitude response in the mass's oscillation is

A) 12.2 rad/s.
B) 1.625 rad/s.
C) 148 rad/s.
D) 24.6 rad/s.
E) 64.3 rad/s.

Correct Answer:

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