A block of mass m is attached to a spring of elastic constant k and natural length l0 on a frictionless inclined plane of angle of inclination θ. The length of the inclined plane corresponds to L and the x-axis is measured from the lower end parallel to the inclined plane as shown in the figure.

a) Determine the equation of motion for the block of mass m.
b) Determine the equilibrium position xeq of the block of mass m.
c) Determine the solution x(t) to the equation of motion considering the following initial conditions: x(0) = L - l0 and x·(first derivative) (0) = 0.
d) Considering the following data: m=300g, g=10m/s2, k=15N/m, L=80cm, l0 =30 cm and θ = 30º, calculate the interval of motion [xmin, xmax] in which the block will oscillate, its maximum speed and maximum acceleration.

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