Draw Free Body Diagrams for the following problems. B e sure all forces and/or m

Question

Draw Free Body Diagrams for the following problems. Be sure all forces and/or moments on the FBDs are labeled. Known values should be labeled with their magnitude and unknowns should be given a variable name. (I dont want answers! Just FBD)

2). Draw a FBD for the 590-kg uniform beam is subjected to the three external loads shown.

Chapter 3, Problem 3/006 (video solution to similar problem attached) The 30-kg homogeneous smooth sphere rests on the two inclines as shown. Determine the contact forces at A and B. 78° 27

Explanation / Answer

Problem 3/006]

Let the contact forces due A and B be RA and RB .

Since the sphere is in equilibrium, the net force on it in vertical direction is zero. Thus,

RAcos78 + RBcos27 = mg = 30 x 9.8 = 294

=> 0.2079RA + 0.891RB = 294

Also, net force on it along horizontal direction will be zero. So,

RAsin78 - RBsin27 = 0

=> RA = 0.4641RB

substitute this in the first equation to get:

0.2079[0.4641RB] + 0.891RB = 294

=> RB = 297.723 N

=> RA = 0.4641 x 297.723 = 138.173 N.

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