Bug B is crawling radially outward on the spoke of a wheel at a constant speed of 4 cm/s relative to the spoke of the wheel. The center of the wheel (Point C) is also moving to the left at 160 cm/s and accelerating at 120 cm/s². As a result, its angular speed is 8 =4 rad/s and its angular acceleration is 6 = 3 rad/s². At that same time the bug is 30 cm from the center of the wheel and is directly above the center of the wheel. a. What is the velocity vector of the bug relative to the ground at that particular time? b. What is the acceleration vector of the bug relative to the ground at that particular time?

The rod AB of the mechanism of the image rotates counterclockwise at an angular velocity of 5 rad / s and an angular acceleration of 0 rad / s ^ 2. The position of the pin A moving in the groove at the moment of the picture is xA = 1.3 m and yA = 0.9 m a) What is the relative speed of pin A to rod AB? b) What is the magnitude of the angular velocity ωAC of the rod AC at the moment of the image

If the rod AB rotates counterclockwise with angular velocity, ω AB =8rad / s Calculate the velocities of the blocks C and D at the moment shown in the figure below.

3. The crank, connecting rod and cross head of a stationary steam engine are shown diagrammatically in fig. The 22.5 cm crank arm BC is rotating at a constant rate of 150 rpm. The length of the connecting rod AB is 80 cm. Find the velocity and acceleration of the cross-head A when 0=45º. The cross-head moves on a horizontal line through C.