(6) A force F is applied on bar BC at B through rod AB as shown. If the t-component of the force is F₁ = 50 lb, determine the n-, x-, and y-components of the force F. The t- axis is directed along bar BC, and the n-axis is perpendicular to the bar BC. Ans: Fn = 284 lb, Fx = -271 lb, Fy = -98.5 lb -30°4 F A 20°

(5) A force T is applied at the tip of the rod as shown. If the n- component of the force is T, = 35 lb, determine the t-, x-, and y-components of the force T. The t-axis is directed along the rod, and the n-axis is perpendicular to the rod. Ans: T₁ =-130.6 lb, Tx=-103.6 lb, Ty = -86.9 lb T n 40° O 55°

Determine values of x and y so that v · w = 0 and v · u =

The 454-N force is applied to the 80-kg block, which is stationary before the force is applied. Determine the magnitude and direction of the friction force F exerted by the horizontal surface on the block. The force is positive if to the right, negative if to the left. H₂ = 0.73 Hk = 0.56 Answer: F= i 39° N P = 454 N

A weight of mass 100 kg hangs from two wires that make angles of 54° and 48°, respectively, below the horizontal, as shown in the diagram. 100kg T2 T₂ = T2 Find the tensions (forces) in both wires: T₁ Round your answer to 2 decimal places. i+ Round your answer to 2 decimal places. j. Round your answer to 2 decimal places. i+ Round your answer to 2 decimal places. j.