Engineering Mechanics

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SAMPLE PROBLEM 5 The position of a particle moving along the x-axis is described by x = t' - 108f m where t is the time in seconds. Determine the position, velocity, acceleration, and distance traveled at f = 8 s.SAMPLE PROBLEM 6 12.8 A particle moves along the curve x2 = 12y, where x and y are measured in millimeters. The x-coordinate varies with time according to x = 47- 2 mm where the time t is in seconds. Determine the magnitudes of the velocity and acceleration vectors when / = 2 s.EXERCISE 1 For the mechanism shown, determine (a) the velocity x' of slider C in terms of 0 and 0'; and (b) the acceleration x" of C in terms of 0, 0', and (". B h C O (a) x = -2be sine; (b) x = -2b(0 sine + 02 cos 0)EXERCISE 2 The plane C is being tracked by radar stations A and B. At the instant shown, the triangle ABC lies in the vertical plane, and the radar readings are 0, = 300, 0 = 220, 0, = 0.026 rad/s, and 0 = 0.032 rad/s. Determine (a) the altitude y; (b) the speed v; and (c) the climb angle a of the plane at this instant A 1000 m