Problem 8: A block having a mass of m = 18.5 kg is suspended via two cables as shown in the figure. The angles shown in the figure are as follows: α = 138° and β = 290°. We will label the tension in Cable 1 as T1 and the tension in Cable 2 as T2.
20% Part (a) From the images below, choose the correct free body diagram.
20% Part (b) Write an expression for the sum of forces in the x direction in terms of T1, T2, m, α, and β. Use the specified coordinate system.
20% Part (c) Write an expression for the sum of forces in the y direction in terms of T1, T2, m, α, and β. Use the specified coordinate system.
20% Part (d) Solve for the numeric value of T1, in newtons.
20% Part (e) Solve for the numeric value of T2, in newtons.