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.

Determine the reaction forces at A and B. Follow sign convention.

Two farmers are pushing on a gate with forces F_{A} and F_{B} applied at locations A and B respectively. The gate has a hinge at C and you may neglect the thickness of the gate. Assume that the gate is in static equilibrium. The force F_{A} is applied at an angle of alpha = 30 degrees and the force F_{B} is applied at an angle of beta = 35 degrees . The distance between B and the hinge at Cis D BC =2 m , and the distance between A and the hinge at C is D AC =3 m . Suppose that |F_{A}| = 400N     Two farmers are pushing on a gate with forces F_{A} and F_{B} applied at locations A and B respectively. The gate has a hinge at C and you may neglect the thickness of the gate. Assume that the gate is in static equilibrium. The force F_{A} is applied at an angle of alpha = 30 degrees and the force F_{B} is applied at an angle of beta = 35 degrees . The distance between B and the hinge at Cis D BC =2 m , and the distance between A and the hinge at C is D AC =3 m . Suppose that |F_{A}| = 400N a)…

A force of Fi = (180 i -250j + 190k) lb is applied to the pipe assembly at point B. A force of F2 -250j + 250k) lb is applied to the pipe assembly at point D. The pipe assembly is supported by a fixed support at point A. (180 ? F1 В d3 C d1 d2 y F2 Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value di 1 ft d2 2 ft dz 3.5 ft a. Determine the normal force at point C, Nc. Express as a Cartesian Vector. b. Determine the normal force at point C, Vc. Express as a Cartesian Vector. c. Determine the Torsional Moment at point C, Tc. Express as a Cartesian Vector. d. Determine the Bending Moment at point C, Bc. Express as a Cartesian Vector.