Suppose a spring-mass system has 18Nm 1 −
k = and m = 0.71kg. The system is
oscillating with an amplitude of 54 mm. (i) Determine the angular frequency of
oscillation. (ii) Obtain an expression for the velocity v of the block as a function of
displacement, x and calculate v at x = 34 mm. (iii) Obtain an expression for the mass’s
distance | x | from the equilibrium position as a function of the velocity v and calculate | x |
when v = 0.18 ms−1. (iv) Calculate the energy of the spring-mass system.

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