Question

(a) State the kinematic and dynamical conditions for static equilibrium
(b) Draw a FBD each for the 5kg mass and the meeting point of T1, T2, and T3.

40° 50° T T. T 5.0 kg

(c) Write down the equations obtained from the FBDs and the conditions of static equilibrium and solve them to find T1, T2, and T3.

(d) You are informed that the wires are made of steel. Assuming that the designer used a safety factor of 10, determine the diameters of each of the wires used. Hint: you will need to use the tensile strength of steel, which you can lookup.

(d) Using the diameter obtained in part (d) and the Young’s modulus for steel, calculate the strain on the wire with tension T3.

Data: Tensile Strength of Steel: σmax = 5 × 108Pa.

Young’s Modulus of Steel: Esteel = 2 × 1011Pa.