In this paper, we generalize some concepts of the game theory such as Nash equilibrium point, saddle point and existence theorems on hyper-structures. Based on new definitions and theorems, we obtain some important results in the game theory. A few suitable examples have been given for better ...
TEACHALEVELMATHS–MECHANICS1 EQUILIBRIUM Summary Asetofforcesactingatapointareinequilibriumwhentheresultantiszero. Wecansolveproblemsinvolvingforcesinequilibriuminthefollowingways: ➢Ifthereare3ormoreforces,wecanformtwoequationsusing X0andY0 whereXandYarethesumsofthecomponentsintwoperpendicular ...
At any point in the solid, the components of stress are indicated on the surface of an “infinitely” small cubic volume, as shown in Figure 2.3. On each surface, there will be the normal stress component, and two components of shearing stress. The sign convention for the subscript is tha...
In a chemical reaction, N2+3H2⇔2NH3, at equilibrium point Aequal volumes of N2andH2 are reacting Bequal masses of N2andH2 are reacting Cthe reaction has stopped Dthe same amount of ammonia is formed as is decomposed into N2andH2.Submit For the equilibrium N2(g)+3H2(g)⇔2NH3(g...
θ For stable equilibrium, we considerθ=0∘: τ=0.80⋅0.30⋅sin(0∘)=0.80⋅0.30⋅0=0 Step 3: Calculate Potential Energy (U) The potential energy (U) of a magnetic moment in a magnetic field is given by: U=−M⋅B⋅cos(θ) ...
In practice, it will be convenient to estimate the self-absorption values from the published data taken as a function of β–end point energy for various source conditions. The self-absorption values are very dependent on both the β–ray energy and source conditions, and are in the range ...
the cord at point P. Explain why, for the rod to be in equilibrium, the force F produced at the hinge must also pass through point P. [2] (c) The forces F and T make angles α and β respectively with the rod and AC = 2/3 AB, as shown in Fig. 2.1. ...
I don't propose to go into the maths in my case, unless someone wants to point me towards it, but I'd like to ask a question that's on my mind: I know that it is possible to write a precise differential equation for any 1 equilibrium which (after integration) will yield a result...
For a point mass, the equilibrium arises when the resultant of all the forces acting upon the particle is zero. But for a rigid body to be in equilibrium, the body should have both rotational and translational equilibrium. For this, the vector sum of all the torques as well as force ...
- Equilibrium in a chemical reaction refers to the state where the concentrations of reactants and products remain constant over time. This means that the reaction has reached a point where the forward and reverse processes occur at the same rate. 2. Dynamic Nature of Equilibrium: - The term...