Solving for Tangential (Angular) Acceleration (Engineering Dynamics)

For the apparatus shown (see attachment), if block A has an acceleration of 1ft/second[squared] upward, the angular acceleration in rad/second[squared] of the pulley B is what? a. 2.0 b. 1.0 c. 4.0 d. 0.25 *Please see attachment for proper citation of acceleration and for diagram.

Dynamics (Angular Velocity, Angular Acceleration)

2 practice quiz problems which I need help on. Please give explaination of each problem as well as answer: 1) Member AB rotates about pin A at a constant 10 rad/s. What is the acceleration of point C at the instant shown? a) 13.4m/s^2 b) 7.51m/s^2 c) 17.2 m/s^2 d) 11.5 m/s^2 e) 9.63 m/s^2 2) Wheel A rotates counterclockwise at an angular velocity and acceleration of 3 rad/s and 1.5 rad/s2, respectively. What is the angular acceleration of bar BC? a) .267 rad/s^2 (clockwise) b) .500 rad/s^2 (clockwise) c) .167 rad/s^2 (clockwise) d) .423 rad/s^2 (clockwise) e) .333 rad/s^2 (clockwise) *Please see attachment for diagrams and figures!

Cart tipping problem

I am to solve a tipping problem of a 4-wheeled cart, weighing 36 kg, and being pushed to move in a range of between 1 and 6 m/sec. When the cart is moving at constant velocity within this range, the front two wheels suddenly encounter a permanent barrier and are stopped instantaneuosly. The cart is to be redesigned for no or minimal tipping-up of the back wheels over this operting range, see drawing. How do you decribe the dynamics of the cart? I realize I can sum the moments about the front axle of the cart, with position vectors times the cart's weight from the center of mass, and the normal forces acting on the cart wheels. What I don't understand is how to express the cart's momentum ... click for more

Motion involving friction

I am looking for the solution of this problem. Also, I would like to know which answer is correct out of the four that I provide.

Moment of Inertia, Translational Mmotion

These problems have to do with moment of inertia, and translational motion. See attachment for complete questions and diagrams. 1. A four-wheel truck that has a mass of 5,000 kg accelerates forward. The coefficient of friction for the front and back wheels is 0.2 and 0.4, respectively. What is the acceleration of the truck? Assume that the friction force on both the front and rear wheels are at a maximum and both are about to slip. a. 3.75 m/s2 b. 3.98 m/s2 c. 3.49 m/s2 d. 3.27 m/s2 e. 3.01 m/s2 ________________________________________ 2. Each of the 2 blocks A and B weigh 32.2 lb. A small strip is nailed onto the top surface of B to prevent A from sliding whil... click for more