푁퐵푎푛푑 푁퐶 under each pair of wheels B and C. Compare with the normal forces for the conditions Mower with attached grass bag is 50-kg with mass centre at G. The man pushes the lawn mower at a steady speed with a force P that is parallel to the incline. The 20-kg homogeneous smooth sphere rests on the two inclines as shown. The cross product is your friend.If you found this video helpful, please consid. The beam AB is a standard 0-m I-beam with mass of 95-kg per meter of length. This engineering statics tutorial goes over how to solve 3D statics problems. 2ĭetermine the magnitude T of the tension in the supporting cable and the magnitude of the force on the pin at Aįor the jib crane shown. Reaction at A, and the angle 휃 made by the beam with the horizontal in the elevate position. The cable at C it is desired to elevate end B to a position 3 m above end A. The uniform 100-kg I-beam is supported initially by its end rollers on the horizontal surface at A and B. Magnitude of the total force on the bearing for pulley C. Pulley is free to rotate about its bearing and the weights of all parts are small compared with the load. W EXAMPLE OF A FREE BODY DIAGRAM Two-o r -Three-Force Members These are two major equilibrium situations often encountered Forces can be applied at only two points of the member Requirement for equilibrium -forces must be of equal magnitude and opposite in direction -forces must share same line of action (collinear) NOT 2-FORCE MEMBERS 2-Force Members Note: The shape of the member does not affect this requirement STATICAL DETERMINACY If a body has more supports than needed -statically indeterminate -more unknown than equations of equilibrium Can solve, however -need physical properties of the body -covered in the mechanics of materialsĬalculate the tension 푇 in the cable which supports the 1000 푁 load with the pulley arrangement shown. Weight -Moments -Supports reactions -Springs 퐹 = 푘푠 푤ℎ푒푟푒 푠 =(푙 − 푙 0 ) Weight and Centre of Gravity Remains at a fixed distance from one another both before and after applying a load Note: -Material properties do not need to be considered will be covered in mechanics of materials -the only thing need to consider is external forces Free Body Diagramĭraw all forces acting upon the rigid body Recall what we learnt in Particle equilibrium:Ī combination of a large number of particles that Their free body diagrams What is a Rigid Body? Solve 2-D equilibrium problems for rigid bodiesĭefine two- and three-force members and draw EQUILIBRIUM OF RIGID BODIES Free Body Diagrams of Rigid Bodies 2-D Equilibrium of Rigid Bodies & Two- and Three-force Members OJECTIVES
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