3. An undamped vibrating system is governed by mi + kr = Fo+ F₁sin(wit) + F₂cos(wat). (1) Assume m= 2 kg and spring stif

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3 An Undamped Vibrating System Is Governed By Mi Kr Fo F Sin Wit F Cos Wat 1 Assume M 2 Kg And Spring Stif 1 (16.45 KiB) Viewed 44 times

3. An undamped vibrating system is governed by mi + kr = Fo+ F₁sin(wit) + F₂cos(wat). (1) Assume m= 2 kg and spring stiffness k= 72 N/s. Amplitudes of the forces applied to the system are Fo= 80 N, F₁ = 30 N, and F₂ = 10 N. Driving frequencies are w₁ = 4 rad/s and w 10 rad/s. At time t=0, the mass is at r(0) = 0 and (0) = 0. Write an equation for the total response of the mass, r(t), with t being the only variable in the equation. Verify that initial conditions are satisfied.