For a three-dimensional body in equilibrium, writing ΣF = 0 and ΣMA = 0 about an appropriate point A and setting the coefficients of i, j, and k in both equations equal to zero provides with __________ equations

Calculate the work required to stretch the following springs 0.5 m from their equilibrium positions. Assume Hooke's law is obeyed. a. A spring that required a force of 50 N to be stretched 0.1 m from its equilibrium position. b. A spring that required 40 J of work to be stretched 0.4 m from its equilibrium position.

Find cable AO or BO or OC force vector.

DATA: 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. F F F₂ Fay F₂ Makara 1 F₁ (N) 0.153 0.398 0.302 F₂₁ 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 m₁ (g) m₂…

Identify the corresponding three-phase invariant reactions below:

3. For a frictionless pulley and cable, tensions in the cable (T₁ and T₂) are related as a. b. T₁ > T₂ c. T₁ = T₂ d. T₁ < T₂ e. T₁ = T₂ sin 8 T₂ T₁