A Mass M = 2 $\omega$ _dt),where F_d = 75

question 27

Multiple Choice

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.What is the largest amplitude response in the mass's oscillation this driving force can produce?

• A)0.76 m
• B)0.52 m
• C)1.00 m
• D)0.89 m
• E)1.23 m

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