A 1 kg mass is attached to a horizontal spring with stiffness 4 N/m. Initially, the spring is at rest. At time t = 0 an external force, measured in Newtons, F(t) = 3 cos(2t) is applied to the spring. The damping constant is zero. The function y(t) describes the displacement, measured in meters, of the mass from the rest position at time t measured in seconds. Choose all correct statements: a. y" + 4y = 3 cos(2t). O b._y" + 4y = 0. O c. The amplitude of the oscillations of y(t) is 3. Od. The system is at resonance.

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Chapter1: Units, Trigonometry. And Vectors
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A 1 kg mass is attached to a horizontal spring with stiffness 4 N/m. Initially, the spring
is at rest. At time t = 0 an external force, measured in Newtons, F(t) = 3 cos(2t) is
applied to the spring. The damping constant is zero. The function y(t) describes the
displacement, measured in meters, of the mass from the rest position at time t
measured in seconds.
Choose all correct statements:
a. y" + 4y = 3 cos(2t).
O b. y" + 4y = 0.
c. The amplitude of the oscillations of y(t) is 3.
d. The system is at resonance.
Transcribed Image Text:A 1 kg mass is attached to a horizontal spring with stiffness 4 N/m. Initially, the spring is at rest. At time t = 0 an external force, measured in Newtons, F(t) = 3 cos(2t) is applied to the spring. The damping constant is zero. The function y(t) describes the displacement, measured in meters, of the mass from the rest position at time t measured in seconds. Choose all correct statements: a. y" + 4y = 3 cos(2t). O b. y" + 4y = 0. c. The amplitude of the oscillations of y(t) is 3. d. The system is at resonance.
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