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

---

Definitions:

Personal Fulfillment

A sense of satisfaction and achievement derived from pursuing and realizing one’s own goals, desires, or potentials.

Self-Determination

A theory of motivation that holds individuals have innate psychological needs that are the basis for self-motivation and personality integration.

Telecommuting

Remote work, allowing employees to complete their work tasks from outside traditional office environments, often from home, using digital technologies.

Working Hours

The period of time during which an individual is expected to be performing work duties, typically defined by an employer.