solve this problem by showing the manual calculation and choose the correct answer(mechanical vibrations) Find the natural frequencies of the system for k = 300

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solve this problem by showing the manual calculation and choose the correct answer(mechanical vibrations)

Find the natural frequencies of the system for k = 300 N/m, k2 = 500 N/m, k3 = 200 N/m, m = 2 kg, and m2 = 1 kg. Base k2 k 00000 m1 00000 m2 x2(t) a. w = 5.73 rad/s and w2 = 40.47 rad/s O b. w = 32.8 rad/s and w2 = 1637.8 rad/s O c. w = 30.2853 rad/s and w = 114.3801 rad/s O d. w = 917.2 rad/s and w = 13082.8 rad/s x1(t)