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 0 = 0.53t -0.036t2, where is in radians and t is in seconds. The slider is at r = 1.29 m when t = 0 and thereafter is drawn inward at the constant rate of 0.12 m/s. Determine the velocity v and acceleration a of the slider when t = 3.1 s. Express your answers in the x-y coordinate system. Answers: At t= 3.1 s, v = ( a = ( -0.3032 0.1123 i+ i -0.0423 i+ i -0.8705 j) m/s j) m/s²

Determine the magnitude of the velocity and acceleration of the ball when t = 1.4 s

The hydraulic cylinder gives pin A a constant velocity v = 3.1 m/s along its axis for an interval of motion and, in turn, causes the slotted arm to rotate about O. Determine the values of r, r, and for the instant when 0 = 27°. (Hint: Recognize that all acceleration components are zero when the velocity is constant.) Answers: r = 7 = ÿ = i i 37 310 mm- m/s m/s² rad/s²

The figure shows a rigid link AB of length 2 m which rotates anticlockwise about a fixed point at A at a rate of 2 rad/s, but which is decelerating in its rotation at 1 rad/s². At the instance of time shown in the diagram, with the link AB at 60 degrees to the horizontal, what is the y-component of the absolute acceleration of point B? (The positive sense of the x and y directions are given by the axes in the diagram). O O O O O w = 2 rad/s a = -1 rad/s² 7.93 m/s2 Don't Know -7.93 m/s² 5.93 m/s2 -5.93 m/s² B 60⁰