Chapter 4, Problem 36FP

Replace the force system acting on the post by a resultant force, and specify its angle from the y axis and where its line of action intersects the post AB measured from point B.

1

Replace the distributed loading with an equivalent resultant force. What is its location on the beam measured from point A in meters? 8 kN/m 4 kN/m 3 m 3 m

Calculate the Cartesian force vectors for F: and F2. Then determine the resultant force vector that is the sum of the force vectors F: and F2. Note that a = 15° and 8 = 40°. Express your resultant as a Cartesian vector, and state the magnitude of the resultant. F, = 35 Ibs 2 ft -1 ft 3 ft F, = 40 Ibs y N 4

Throught Scalar analysis where F is the scalar component. Determine the Vector momnent fromed by the Force F on the Point of O determine the magnitude of the moment

Replace the three forces acting on the bent pipe by a single equivalent force R. Specify the distance d from point O to the point on the x-axis through which the line of action of R passes: 50 lb 40 lb 10 10" 10" 60 lb

Using the Component method, determine the magnitude and direction of the resultant and the equilibrant of the given forces.                   Force A = 316lb / 20° E of S                  Force B = 518lb / 15° N of E                  Force C = 111lb / W 05° S

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

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.