Given vs(t) = [5cos 1000t + 4cos2000t + 3cos 4000t] V is the input of the system below. A 10V DC signal is added to vs(t) using a summing circuit and this DC offset signal is the input to a multiplier that multiplies the signal and a high frequency sinusoidal signal cos(100,000t) V. Plot the power spectrum of vout(t) in dBW.

An engine, weighing 3000 n, is supported on a pedestal mount. it has been observed that the engine induces vibration into the surrounding area through its pedestal at the maximum operating speed. determine the stiffness of the dynamic vibration absorber spring in (n/m) that will reduce the vibration when mounted on the pedestal. the magnitude of the exciting force is 250 n, and the amplitude of motion of the auxiliary mass is to be limited to 2 mm note: in this question type-in right numbers, no decimals, no fractions, no unit. approximate to right number if needed