A student suspends a chain consisting of three links, each of mass m = 0.210 kg, from a light rope as shown in (Figure 1). The rope is attached to the top link of the chain, which does not swing. She pulls upward on the rope, so that the rope applies an upward force of 9.50 N to the chain. (I) Draw a free-body diagram for the entire chain, considered as an object, and one for each of the three links. (II) Use the diagrams of part (I) and Newton's laws to find (i) the acceleration of the chain, (a) the force exerted by the top link on the middle link, and (b) the force exerted by the middle link on the bottom link. Treat the rope as massless. (III)There are four objects of interest in this problem: the chain as a whole and the three individual links. For each of these four objects, identify the external forces acting on them. Besides the force of gravity, you should include only forces exerted by other objects that touch the object in question. Throughout this problem, assume the positive y-axis points upwards. (Drag the appropriate forces to their respective bins.)
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.
A student suspends a chain consisting of three links, each of mass m = 0.210 kg, from a light rope as shown in (Figure 1). The rope is attached to the top link of the chain, which does not swing. She pulls upward on the rope, so that the rope applies an upward force of 9.50 N to the chain.
(I) Draw a free-body diagram for the entire chain, considered as an object, and one for each of the three links.
(II) Use the diagrams of part (I) and Newton's laws to find (i) the acceleration of the chain, (a) the force exerted by the top link on the middle link, and (b) the force exerted by the middle link on the bottom link. Treat the rope as massless.
(III)There are four objects of interest in this problem: the chain as a whole and the three individual links. For each of these four objects, identify the external forces acting on them. Besides the force of gravity, you should include only forces exerted by other objects that touch the object in question. Throughout this problem, assume the positive y-axis points upwards. (Drag the appropriate forces to their respective bins.)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
