1. 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.
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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
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WB= Weight of Ball B ON the pulley. WB

2. 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
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3. 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
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F = The applied force ON the beam.
FBD of Beam M
M = The applied moment on the beam.
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RB = The reaction force FROM ground point B ON the beam RB
RA = The reaction force FROM ground point A ON the beam RA

4. 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
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5. 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.
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Free body diagram of the block
Free body diagram of the pulley at B x y A B

6. Free Body Diagram of Multiple-Spring System1
The system is at rest. A 2
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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
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7. 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
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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
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