In a mechanics laboratory, a 2.5-kilogram mass is suspended from a spring. It is observed that the mass stretches the spring by 16.35 cm. The mass is then pulled 4 cm above its equilibrium position and then, it is released from rest. While the mass is in motion, an external force F(t) = 3cos(rt) is acting. Use g = 9.81 m/s?. Part II А. Determine the value of r that will produce a resonant oscillation of the mass. В. Using the value of r in (A) and the Method of Undetermined Coefficients, write the equation/solution representing the displacement of the mass at any time t, m(t). С. Verify your answer in (B) using the derived solutions for spring-mass systems described as undamped resonance.
In a mechanics laboratory, a 2.5-kilogram mass is suspended from a spring. It is observed that the mass stretches the spring by 16.35 cm. The mass is then pulled 4 cm above its equilibrium position and then, it is released from rest. While the mass is in motion, an external force F(t) = 3cos(rt) is acting. Use g = 9.81 m/s?. Part II А. Determine the value of r that will produce a resonant oscillation of the mass. В. Using the value of r in (A) and the Method of Undetermined Coefficients, write the equation/solution representing the displacement of the mass at any time t, m(t). С. Verify your answer in (B) using the derived solutions for spring-mass systems described as undamped resonance.
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