A marbľe M is constrained to move in the horizontal plane along a wire whose shape is as illustrated. At point A, the marble is traveling at a constant speed 5 m/s, and the radius of curvature at that location is PA "A = 2 m. When the marble reaches point B, it has a speed of vg = %3D 3 m/s and a total acceleration of ||a|| = 10 m/s². The tangential component of the marble's acceleration at R

(b) The disc in Figure 3.2 has diameter 1 m and is rolling on the level ground with angular velocity 4 rad/s. Bar AB has length 1 m and is attached to the disc at A, while B slides on the ground. Determine the angular velocity of bar AB and the velocity of point B. 4 rad/s 1 m 1 m Figure 3.2

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

A ball with a mass of 55.0 g is thrown as shown. (this is a view from the side) There are only two forces acting on it: gravity and air resistance. The air resistance is in the opposite direction of the velocity and has a magnitude of 0.110 N. Find the acceleration vector of the ball. NOTE 1: Don't forget to draw a free body diagram V = 15.0m S 0 = 30.0°