By means of the control unit M, the pendulum OA is given an oscillatory motion about the vertical given by θ = θ₀sin √g/l t, where θ₀ is the maximum angular displacement in radians, g is the acceleration of gravity, l is the pendulum length, and t is the time in seconds measured from an instant when OA is vertical. Determine and plot the magnitude α of the acceleration of A as a function of time and as a function of θ over the first quarter cycle of motion. Determine the minimum and maximum values of a and the corresponding values of t and θ. Use the values θ₀ = π/3 radians, l = 0.8 m, and g = 9.81 m/s².

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M A Problem 2/256