Final answer:
The force F1 expressed as a cartesian vector in pounds is approximately 0.674 lb, 0.899 lb.
Step-by-step explanation:
To express the force F1 as a cartesian vector in pounds, you must first convert the units from Newtons to pounds. Given the force F₁ in Newtons is (3 N)Î + (4 N)Í, we convert these values using the conversion factor 1 N ≈ 0.224809 lb.
Step 1: Convert the x-component from Newtons to pounds:
3 N * 0.224809 lb/N ≈ 0.674 lb (to three significant figures).
Step 2: Convert the y-component from Newtons to pounds:
4 N * 0.224809 lb/N ≈ 0.899 lb (to three significant figures).
Hence, the force F₁ expressed as a cartesian vector in pounds is approximately 0.674 lb, 0.899 lb.