Chapter 4, Problem 128P

If the resultant force of the loads passes through point B, find the equivalent force-couple system (moment) at point O

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

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.

Replace the three forces acting on the rectangular solid with a wrench. Specify the magnitude of the moment Massociated with the wrench. Enter a positive number for M if the wrench acts in a positive sense, enter a negative number if it acts in the negative sense. Specify the (x,y,z) coordinates of the point P in plane ABCD through which the line of action of the wrench passes. Illustrate the wrench moment and resultant in an appropriate sketch. 25 N 95 mm. Answers: M= y= 55 mm, 29 40 mm 20 N 110 mm. B N-m mm mm mm 35 mm 30 N

Handle forces F¡ and F2 are applied to the electric drill. Replace this force system by an equivalent resultant force and couple moment acting at point 0. Express the results in Cartesian vector form. Set F, = { 3j - 6k } N and F2 = { 9i - 4.5j - 15k } N 0.15 m- 0.25 m 0.3 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.

Q-6: Determine the magnitude of force F in cable AB in order to produce a moment of 1250 Nm about the hinged axis CD, which is needed to hold the panel in the position shown. Q-7: This question have two different approaches. Solve for both. (a) Determine the resultant couple moment of the two couples that act on the pipe assembly. The distance from A to B is d = 420 mm. Express the result as a Cartesian vector. (b) Determine the distance d between A and B so that the resultant couple moment has a magnitude of Mr = 28 Nm. (-501) N 250 mm C (35k) N S (-35k) N (501) N 350 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

Replace the two forces acting on the rectangular solid by a wrench. Write the force R and moment Mas vectors and specify the coordinates of the point Pin the x-y plane through which the line of action of the wrench passes. 240 mm 450 mm 160 N 160 N 360 mm Answers: R= (i it j+ i k) N M-( it j+ i k) N-m Coordinates of point P. (ху) - ( )mm