2-25. The chisel exerts a force of 20 lb on the wood dowel rod which is turning in a lathe. Resolve this force into components acting (a) along the n and taxes and (b) along the x and y axes. be used to designate she etio of the 2-29. If F= 3 kN and = 45°, determine the magni- dignolavinom i obavioral tude of the resultant force of the two tugboats and its mob gonballo world www.commodis press Pass Carte vecnouston 1035oy naies direction measured clockwise from the positive x axis. 2-30. If the resultant force of the two tugboats is required to be directed towards the positive x axis, and F, is to be a minimum, determine the magnitude of F, and FB and the noits angle 0. V 20 lb 45° 60° 30° FB Prob. 2-25 2-26. The beam is to be hoisted using two chains. Determine the magnitudes of forces FA and FB acting on each chain in order to develop a resultant force of 600 N directed along the positive y axis. Set 0 = 45°. 2-27. The beam is to be hoisted using two chains. If the resultant force is to be 600 N directed along the positive y axis, determine the magnitudes of forces FA and F, acting on each chain and the angle 0 of F, so that the magnitude of FB is a minimum. FA acts at 30° from the y axis, as shown. 30° 60° mtol #insnogmos aos seuss 8 FA *2-28. If the resultant force of the two tugboats is 3 kN, directed along the positive x axis, determine the required magnitude of force F and its direction 0. And y comp omponendi Probs. 2-26/27 C 10+ bne ovads jers baim ni qood of natoqmi al 11 brachnoifatanmovino beau ed of ai nouston sido sr) odgrond 29tugi ni egoitatasaray daudT saoqiuq aidi nol beau ton ons nie v) sontblod gniau vd bolangizob on 21- 2510 TO 10 alitw o zloduyg silati FA 2 KN Probs. 2-28/29/30 2-31. Three chains act on the bracket such that they create a resultant force having a magnitude of 500 lb. If two of the chains are subjected to known forces, as shown, determine the angle of the third chain measured clockwise from the positive x axis, so that the magnitude of force F in this chain is a minimum. All forces lie in the x-y plane. What is the magnitude of F? Hint: First find the resultant of the two known forces. Force F acts in this direction. 30° 200 lb Prob. 2-31 300 lb 30° 2 F
Plane Trusses
It is defined as, two or more elements like beams or any two or more force members, which when assembled together, behaves like a complete structure or as a single structure. They generally consist of two force member which means any component structure where the force is applied only at two points. The point of contact of joints of truss are known as nodes. They are generally made up of triangular patterns. Nodes are the points where all the external forces and the reactionary forces due to them act and shows whether the force is tensile or compressive. There are various characteristics of trusses and are characterized as Simple truss, planar truss or the Space Frame truss.
Equilibrium Equations
If a body is said to be at rest or moving with a uniform velocity, the body is in equilibrium condition. This means that all the forces are balanced in the body. It can be understood with the help of Newton's first law of motion which states that the resultant force on a system is null, where the system remains to be at rest or moves at uniform motion. It is when the rate of the forward reaction is equal to the rate of the backward reaction.
Force Systems
When a body comes in interaction with other bodies, they exert various forces on each other. Any system is under the influence of some kind of force. For example, laptop kept on table exerts force on the table and table exerts equal force on it, hence the system is in balance or equilibrium. When two or more materials interact then more than one force act at a time, hence it is called as force systems.
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