A uniform bar of weight 30 N and length 4m passes over a prop and is supported in a horizontal position by a force of 10 N acting vertically upwards at the other end. Find the distance of the prop from the center of the bars.

A uniform steel beam AB of Weight  is loaded as indicated in the Figure 1 below:

Figure 1.

It is required to determine:

1. The magnitude of the reactions and , in the absence of the external force F.

1. the magnitude of the load F acting at B that makes the reaction force at A to be zero.

1. the magnitude of when F is acting at B.

Please answer

The rigid bars ABC and CD are supported by pins at A and D and by a steel rod at B. There is a roller connection between the bars at C. Compute the vertical displacement of point C caused by the 50-kN load.

Q8 (20 points): Using Lagrange's equations, obtain the equations of motion of the system which consists of a disk of mass M and radius R, to which a pendulum of mass m and length L is attached by a pin joint at D. Friction is sufficient to prevent slip of the disk while it rolls (no slip). The force F is always horizontal.