At time t = 0, the 1.8-lb particle P is given an initial velocity v₀ = 1 ft/sec at the position θ = 0 and subsequently slides along the circular path of radius r = 1.5 ft. Because of the viscous fluid and the effect of gravitational acceleration, the tangential acceleration is a_t = g cosθ − k/m v, where the constant k = 0.2 lb-sec/ft is a drag parameter. Determine and plot both θ and θ˙ as functions of the time t over the range 0 ≤ t ≤ 5 sec. Determine the maximum values of θ and θ˙ and the corresponding values of t. Also determine the first time at which θ = 90°.

Transcribed Image Text:

Ox r. P Problem 2/252