2. The slider P can be moved inward by means of the string S, while the...

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2. The slider P can be moved inward by means of the string S, while the slotted arm rotates about point O. The angular position of the arm is given by where is in radians and t is in seconds. 0 = 2t - t2 12 The slider is at r = 2 m when t = 0 and thereafter is drawn inward at the constant rate of 0.3 m/s. Determine (a) the velocity of the slider using , and e, when t = 3 s. (b) the acceleration of the slider using , and e, when t = 3 s. (c) If the slotted arm is 4 m long, sketch the approximate positions and orientations of P and the arm when t = 3 s. 0 S (Hint) First, express r as a function of time. P -x 2. The slider P can be moved inward by means of the string S, while the slotted arm rotates about point O. The angular position of the arm is given by where is in radians and t is in seconds. 0 = 2t - t2 12 The slider is at r = 2 m when t = 0 and thereafter is drawn inward at the constant rate of 0.3 m/s. Determine (a) the velocity of the slider using , and e, when t = 3 s. (b) the acceleration of the slider using , and e, when t = 3 s. (c) If the slotted arm is 4 m long, sketch the approximate positions and orientations of P and the arm when t = 3 s. 0 S (Hint) First, express r as a function of time. P -x