Statics

Use this for “Forces of 200 N at 15°, 300 N at 90° and 100 N at 225° act at a point. Find the resultant.”

Use this for “Find the moment of F = 30i + 40j N, acting at (2, 1) m, about the origin.”

Use this for “A 6 m beam on a pin and a roller carries 12 kN 2 m from the pin. Find both reactions.”

Use this for “A Pratt truss has four 3 m panels, 4 m deep, with 10 kN at each lower inner joint. Cut the second panel: find the top chord and diagonal forces.”

Use this for “You squeeze pliers with 50 N, 120 mm from the pin, and the jaws grip 30 mm from it. Find the jaw force and the pin force.”

Use this for “Which members of this truss carry no force under this load?”

Use this for “A 200 × 100 mm plate has a 40 mm hole centered 150 mm from its left edge. Where is the centroid?”

Use this for “A load falls from 6 kN/m to 0 over 4.5 m. Find its resultant and where it acts.”

Use this for “Find the centroid of the area under y = x² from x = 0 to x = 3.”

Use this for “A 2 × 4 cm rectangle turns about an axis 5 cm from its centroid. Find the volume of the ring.”

Use this for “Find I about the centroid of a T with a 100 × 20 mm flange on an 80 × 20 mm web.”

Use this for “Find J for a tube 60 mm outside and 40 mm inside.”

Use this for “Find the radius of gyration of a 20 × 100 mm bar about its strong axis.”

Use this for “A 300 N crate 0.6 m wide is pushed level at 1.2 m above the floor (μₛ = 0.4). Does it tip or slide first, and at what push?”

Use this for “A rope passes half way round a fixed post (μ = 0.3) with 100 N on the slack side. What pull on the other end makes it slip?”