Free Body Diagram of Cable-Pulley System The system is held in equilibrium at angle Θ by the tension, T. A cable connects pulley A to the ceiling at point C. Ignore the weight of the pulley and the cable. *Click to see solutions 30º A Θ T B FBD of pulley A x y TAC TAC= The tension FROM the supporting cable (at 30º) ON the pulley. 30º A T= The tension holding the system in equilibrium (at angle Θ) ON the pulley. T Θ *Click for next example WB= Weight of Ball B ON the pulley. WB

Free Body Diagram of Suspended Man The man is sliding across the rope on a bar and being pulled by the tension T. Ignore any frictional effects. *Treat the man and bar as one object FBD of Man R1 R1 = Reaction force FROM rope ON man x y T1 T1 T1 = Tension FROM rope ON man W W = Weight of man *Click for next example *Click to see solutions

Free Body Diagram of Beam With Applied Moment and Force The beam at rest has an applied moment, M, and an applied Force, F. It is resting on two I-beams at A and B. Ignore the weight of the beam. I I B A M *Click to see solutions F F = The applied force ON the beam. FBD of Beam M M = The applied moment on the beam. *Click for next example RB = The reaction force FROM ground point B ON the beam RB RA = The reaction force FROM ground point A ON the beam RA

Free Body Diagram of Multiple Pulley-Cable System Block A is supported by the pulley system shown. The force, F, is pulling the rope downward. Ignore the weight of the pulleys. F B A a b c d e 1 2 *Click to see solutions

Free Body Diagram of Multiple Pulley-Cable System R1 = Reaction force ON block A FROM support 1. Tc Tc = Tension FROM cable ON pulley B. c e d a b R2 R2 = Reaction force ON block A FROM support 2. F F B Td Td = Tension FROM cable ON pulley B. 1 2 A W W = Weight of block A. R2 R2 = Reaction force FROM support 2 ON pulley B. *Click for next example *Click to see solutions Free body diagram of the block Free body diagram of the pulley at B x y A B

Free Body Diagram of Multiple-Spring System 1 The system is at rest. A 2 *Click to see solutions B FBD of Block A FBD of Ball B y x T1 T1 = Tension FROM spring 1 ON block A T2 T2 = Tension FROM spring 2 ON ball B A T2 T2 = Tension FROM spring 2 ON block A WA WA = Weight of block A B WB WB = Weight of block B *Click for next example

Free Body Diagram of Beam Resting on Angled Surfaces The beam is resting on two smooth surfaces. There is an applied force, F, and a tension, T, on the rope. B A 60º 30º *Click to see solutions FBD of Beam T F F = The applied force ON the beam. RB = The reaction force FROM ground point B ON the beam Original surface Original surface 30º 30º 60º 60º RA = The reaction force FROM ground point A ON the beam RB T RA W T = The tension force FROM the rope ON the beam. W = Weight of the beam *Click for next example