Physics 1: Free Body Diagrams

A block of mass M1 on a horizontal table is connected to a hanging block of mass M2 by a string that passes over a pulley, as shown in the figure below. The acceleration of the blocks is 0.6g. Assume that friction and the mass of the string are negligible. The tension T in the string is

A block of mass M = 5kg is placed on an incline of $\theta$ = 30 degrees. There is a frictional force opposing the movement of the block with a coefficient of friction, $\mu$ = 0.2. Determine the acceleration of the block. Draw a free body diagram to help find the answer.

Determine the acceleration of the system if M = 10 kg and m = 30 kg and $\theta$ = 30 degrees. Determine the tension in the rope as well.

Block M = 5 kg and block m = 3 kg. The coefficient of static friction is 0.2. Determine the acceleration of the system and the tension in the cord. The angle of the inclined plane is 30 degrees to the horizontal. Draw a free body diagram for the 5 kg block to help find the answer.

The large block m$_1$ is 10 kg, and the smaller block m$_2$ is 5 kg. The applied force, F is 100 N. The large block m$_1$ experiences a 40 N frictional force opposing the applied force, and the smaller block m$_2$ experiences a 20 N frictional force. Find the action-reaction force between the boxes. (This question requires Newton's Third Law.)

What is the tension T in the rope if the 10-N weight is moving upward with a constant velocity?