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how do I solve this? . 1. Two masses, ma=1kg and my = 2kg are connected by two different springs with spring constants ka =

how do I solve this?

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1. Two masses, ma=1kg and my = 2kg are connected by two different springs with spring constants ka = 3N/m and kb = 2N/m as in the Figure. Suppose at t = 0, ma is displaced a distance Ta = 1cm from Pa and ma is displaced a distance b - 2cm from Po and both masses are released from rest. Assume no friction or external forces. a) (10 points) Find the equations of motion, Ta(t) and ro(t) b) (20 points) Find the eigenvalues, also called the normal mode frequencies c) (10 points) Identify the solution of these equations given the initial conditions. O Pb

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