Determination of components of the forces in equilibrium: 1-In the first part of the experiment, assume the equilibrium is achieved with the following three forces given in the following figure. Note that the first force is horizontal, the second force is vertical and the third force makes an angle with the positive horizontal axis. Three different measurements for the forces and the angle is given in the following table. Using the equilibrium state, find the components of the forces for each measurement. 4 F, Makara 1 F₁ (N) 0.153 0.398 0.302 14 F₂ (N) 0.225 0.449 0.614 Makara 2 2-In the second part of the experiment, the equilibrium can be realized when the forces are generated by several masses as F = mg. Three different measurements of the angle and the masses are given in the following table for the forces, which are oriented as shown in the left. Using the equilibrium state, find the components of the forces for each measurement. 0 (Derece) 46 27 60 0 46° 27° 60° 30.768 m₁ (g) m₂ (g) m3 (g) 15.628 22.908 16.214 40.569 45.760 19.908 62.596 54.643 Makara 3 F₁ (N) 0.159 0.195 0.536 3-In the third part of the experiment, the equilibrium can be realized when the forces are generated by. several masses as F = mg. In this case, the first force makes an angle with the negative horizontal axis as well as the third force as shown in the following figure. Three different measurements of the angles and the masses are given in the following table. Using the equilibrium state, find the components of the forces for each measurement.

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Chemical and Phase Equilibrium

Phase diagrams or equilibrium phase diagrams are the graphical representations that show the phase transformations of the constituting elements with respect to the pressure, temperature, and compositions. The diagrams show the conditions that limit the different phases, namely solid, liquid, and gas. The diagram can also be utilized to verify the relations between the state variables. Most of the phase diagrams are temperature-pressure phase diagrams, with the variable parameter as the composition. Usually other variables such as solubility and pressure parameters are not indicated in the phase diagram. For a one-component system (unary phase diagram), the phase diagram is generally a function of temperature and pressure as the state variables, or temperature and volume. However, for a binary system (two-phase) having two components, the phase diagram is a function of temperature and composition as the state variables only. Coexisting of the different phases of the constituting elements is indicated in the phase diagram. A ternary phase diagram can be characterized by consisting of three phases in equilibrium.