Chapter 4, Problem 23FP

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.

Determine the required load w and dimension d of the right support so that the resultant force and couple moment about point A of the system are both zero. 200 N/m 0.5 m 75 N/m 0.5 m 3 m- -d- -3 m

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.

Specify the magnitude of the force for the wrench. Specify the magnitude of the couple moment for the wrench. Specify the point P(x, y) where its line of action intersects the plate.

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

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

The 60-N force acts at point A on the lever as shown. Replace the force at A by a force and couple moment acting at point 0 that will have an equivalent effect. 60 60 N 200 mm

The design specifications for the attachment at A for this beam depend on the magnitude and location of the applied loads. Represent the resultant of the three forces and couple by a single force R at A and a couple moment. Take: M 25 kN .m ;a = 30 ; x = 1.6.m 4 kN 2 m -1.5 m- -0.8 m 2 kN 3 kN

Determine the force-couple system acting at point 0.