If suppose they are not coplanar then resultant of any two cannot cancel the third one and so equilibrium cannot be maintained. Same way as the forces are not concurrent then the same balancing of the resultant by the third one will not be possible.
Simply because three forces that are not coplanar or not concurrent can't be in equilibrium.
If they're not coplanar, then there's always a net component of force that's not balanced out
by some other one.
And if they're not concurrent, then there must be a net torque on the object.
The first condition of equilibrium can be applied on concurrent forces that are equal in magnitude, since these produce translational equilibrium. But if the forces are equal in magnitude but are non concurrent then even first condition of equilibrium is satisfied but torque is produced which does not maintain rotational equilibrium. Hence for complete equilibrium that is, both translational and rotational , both the conditions should be satisfied.
the sum of all forces acting on an object should be equal to zero the sum of all forces acting on an object should be equal to zero
As you probably know, Lami's Theorem only applies to objects in equilibrium, with 3 coplanar (in the same plane) concurrent (intersecting at the same point) forces acting on it. It works because you add vectors together from tip to tail and also taking direction into account, and because the net force of an object in equilibrium is zero.Let's look at an object for which Lami's Theorem works.Now, let's add all these forces together, tip to tail.The force vectors have to do this (form a closed shape) because the object is in equilibrium, and this makes the net force zero. When the net force is zero, the forces should cancel each other out entirely, meaning that adding the vectors will result in zero.(If we added the force vectors of an object NOT in equilibrium, we would obtain a shape that:· is not a proper closed shape, i.e. you add the vectors and they form 1. a wonky line, or 2. a weird triangle thingy where you haven't used the entirety of a vector for the shape.1.2.· is some other shape.This would indicate a net force being present.)Let's take our added-up forces shape and add some details to it. (By the way, this shape is called a forces triangle.)All I did was lengthen the force lines in the direction of the vector.Now:I just used the original diagram, and found out which angles are between which vectors, and inserted them here into the diagram.Then, the inside angles must look like:Now, what's the sine rule again?For sides a,b,and c and included angles A,B and C:Let's do it for our forces triangle!but we know that sin (180-α/β/θ)=sin (α/β/θ), soAnd that's Lami's Theorem!
The pivot and ring should be concentric for equilibrium to be established.
Delayed
the equilibrium will be shifted backward so that the dissociation of NaHSO4 will decrease (less H+)
Enumerated Powers are directly granted, Reserved Powers areput aside and Concurrent Powers and in the 'middle'; but all of them should be answere some time by the government...
Disadvantage of concurrent control: Since concurrent control uses a series of checks throughout the process/project chain, clarity about the standards required at each control point is essential. This requires a thorough and detailed understanding of the specific tasks involved and their relationship to the desired end product/project outcomes.
Concurrent majority in democratic theory describes the idea that, as opposed to needing majorities to pass laws in society, one should seek majorities from key interest groups in society (e.g.) minorities, other levels of government, et al.).
Temperature affects the conversion value in a CSTR in two ways: 1) it should increase the rate of conversion 2) it should shift the equilibrium of the reaction note that in shifting the equilibrium, it shifts the equilibrium of ALL reactions including side reactions which can be suppressed or promoted If the reaction is nearing equilibrium prior to exiting the reactor, the second effect can be very significant. Increasing the rate of conversion could allow faster throughput in the reactor with the same conversion - unless the effect on equilibrium shift is significant
Different principles apply in the construction of bridges. The main principle is that force is equal to mass times acceleration where all the forces need to balance out. Another principle used is stress, where the materials maximum stress capacity should not be exceeded.
It is the output of an economy that equates aggregate supply with aggregate demand.