Chapter 4, Problem 93P

Determine the force-couple system acting at point 0.

Express and identify the resultant of the two forces and one couple shown acting on the shaft angled in the x-z plane. Assume F = 500 lb, M = 490 lb-ft, a = 8 in., b = 22 in., 0 = 12° -M Answer: M=(1 -21.52 j+ i 12.57 k) lb-in. 300

Handle forces F1 and F2 are applied to the electric drill. Replace this force system by an equivalent resultant force and couple moment acting at point O. Express the results in Cartesian vector from. Determine the resultant force and the moment of the resultant forse about the point O. Express your answer in terms of the unit vectors i, j and k.

Replace the two forces acting on the pole by a wrench. Write the force R and moment M associated with the wrench as vectors and specify the coordinates of the point P in the y-z plane through which the line of action of the wrench passes. Assume F₁ = 46 N, F₂ = 107 N, a = 1.6 m, b = 6.3 m. F₁ Answers: R=( i M = (i I Force and moment associated with wrench Coordinates of point P. (y,z) = (i F₂ T b i+ i ¡+ i i j+ i j+ ) m i k) N k) N-m

2/35 The 30-N force P is applied perpendicular to the por- tion BC of the bent bar. Determine the moments of P about point B and about point A.

Pr

The pipe assembly is subjected to three forces of F1 = {3.00, 4.00, -2.00} kip, F2 = {0, 0,-4.00} kip, and F3 = {-3.00, 0, 0} kip. Determine the sum of the moment of the forces 1) about x-axis (the unit vector of x is i) and 2) about line AC. Express the result as a Cartesian vector.

3. Replace the two forces acting on the post by a resultant force and couple moment at point O. Express the results in Cartesian vector form. C FB=5 kN Fp =7 kN 6 m 8m 2 m 3 m. 6 m.

Determine the required magnitude of force F if the resultant couple moment on the frame is 350 Ib.ft clockwise 2 ft-2 ft- B 30° 2 ft 150 lb 150 lb 2 ft 30 2 ft