A homogeneous, 4-ft-wide, 14-ft-long rectangular gate weighing 800 lb is held in place by a horizontal flexible cable as shown in the figure below. Water acts against the gate, which is hinged at point A. Friction in the hinge is negligible. Determine the tension in the cable. Assume L₁=14 ft, L₂=2.9 ft, and = 32° Water Cable Gate Hinge

Some idiot created the three-legged table shown. X = 0 X = l W Which of the which of the legs supports about half of the table's weight? O The far leg O The left leg None. Each supports close to one-third of the table's weight. O The right leg None. Each supports approximately the entire tabe's weight.

Find the weight of WB necessary to hold WC in the position shown, given:WC = 250 N, θ = 20 °, Φ = 10 °, x,y,h = 4,3,5, respectively

As shown in Figure 2.3, the total height of the liquid in the canal in Part (a) is now increased to 3R. Determine the minimum force F applied at B to prevent the gate ABC from opening (i.e. turning anticlockwise about the hinge A). Neglect the weight of the gate and friction in the hinge. F- 2R Air с B Gate R Air Liquid Hinge Figure 2.3 Р 777. gv

I've been struggling with this question for a long time and not sure how to find the correct answer.So far, my wrong answers were; 792, 128.6816, and 90.32.

A crate with dimensions l = 0.50 m and h = 0.75 m rests on a plane that is inclined by θ = 30◦ from thehorizontal. The crate is in equilibrium, but if the crate were too tall, it will fall over down the slope.Find the effective point of application of the normal force on the crate, i.e., where is the normal force actingon the crate, keeping the crate in equilibrium? Hint: choose the crate’s center of mass as the axis of rotation.