12–135. When t= 0, the train has a speed of 8 m/s, which is increasing at 0.5 m/s². Determine the magnitude of the acceleration of the engine when it reaches point A, at t=20 s. Here the radius of curvature of the tracks is pa = 400 m. v, = 8 m/s

Vc=4.05 m/s.         Determine the direction angle of the velocity of point C at this instant measured counterclockwise from the postive x axis. (Express answer in degrees to three significant figures)

ft When the crate is at point A of the slope, it has a speed of 15 which increasing at a rate of 3 The 82 slope is defined by the function y = 0.03125 · x². y y = f(x) A di Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value di 14 ft Using normal and tangential components, a. Determine the radius of curvature of the slope at point A, p. b. Determine the magnitude of the normal acceleration of the crate at point A, an. c. Determine the magnitude of the acceleration of the crate at point A, a

The belt is travelling to the right at some speed v, while the pipe is rolling without slipping at o = 4 - 1.5 m rad/s as shown. If the center of the pipe G appears to an observer on the ground to move at 2 m/s to the left, determine the velocity of the Belt В belt v.