The uniform sector of Prob. 8/77 is repeated here with m = 4 kg, r = 325 mm, and β = 45°. If the sector is released from rest with θ₀ = 90°, plot the value of  for the time period 0 ≤ t ≤ 6 s. Friction in the pivot at O results in a resistive torque of magnitude M = cθ˙, where the constant c = 0.35 N∙m∙s/rad. Compare your large-angle results with those for the small-angle approximation of sin θ ≅ θ and state the value of θ when t = 1 s for both large-angle and small-angle cases.

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