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The following mass-and-spring system has stiffness matrix K. For the mks values, find the two natural frequencies of the system and describe its two natural modes of oscillation. k₁ k₂ wwwwwwwwww2wwwwww K= 2₁ K₂ m₁ = 1, m₂ = 5; k₁ = 1, K₂ = 5, K3 = 5 - (K₁ +K₂) K₂ K₂ - (K₂ + kg) Let @ <₂ be the two natural frequencies. @₁ = 1 0₂ = √7 (Type exact answers, using radicals as needed.) Describe the mode of oscillation for @₁. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The two masses oscillate in the same direction with equal amplitudes. OB. The two masses oscillate in the same direction, where the amplitude of m, is times the amplitude of m₂. OC. The two masses move linearly, staying a fixed distance apart. OD. The two masses oscillate in opposite directions, where the amplitude of m₁ is O E. The two masses oscillate in opposite directions with equal amplitudes. Describe the mode of oscillation for 2. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. times the amplitude of m₂. times the amplitude of m₂. OA. The two masses oscillate in the same direction, where the amplitude of m, is B. The two masses oscillate in opposite directions, where the amplitude of m₁ is 5 times the amplitude of m₂. OC. The two masses oscillate in opposite directions with equal amplitudes. O D. The two masses move linearly, staying a fixed distance apart. O E. The two masses oscillate in the same direction with equal amplitudes.