Chapter 2, Problem 99P

The force F is applied at point A and its line of action passes through B. Determine the following: 1. The position vector of point B with respect to point A: rBA = ( i +  j + k)m 2. The unit vector in the direction of vector F: u = (  i +  j + k) Express your results using three significant figures.

Given the Position vector Ř = -i+ 6j+ 3k (m) and the Force vector F = -i – 3j + 8k (kN) Determine R. F Answer:

A position vector from point B to the line of action of a force vector F is given as: rBF = {-10j + 2Ok} m Which of the following force vectors would cause the least amount of moment about point B? a) F = {3i - 6k} kN O b) F = {30.5j} kN O c) F = {5i - 10k} kN O d) F = {20j} kN

Chapter 2, Problem 2/033 A prybar is used to remove a nail as shown. Determine the moment of the 320-N force about the point o of contact between the prybar and the small support block. The moment is positive if counterclockwise, negative if clockwise. 320 N A 10° 340 mm 66° 26 mm Answer: Mo = N-m the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work

Which one of the following statements is incorrect? Parallelogram law is used to find the resultant of two forces acting parallel to each other O Parallelogram law is used to find the resultant of two concurrent forces O Lami's theorem is also called as Sine rule Lami's theorem is applicable for three coplanar concurrent forces and in equilibrium Find the moment with respect to point 'P' for the force system shown in the figure, where PQ = 10 m 5N P Q -50 mN 50 Nm O 5 Nm O -5 Nm

The 3D rigid truss structure is supported by three connections to the ground in the ry plane at D, E, and F. None of these connections can resist rotation. The connection at D can resist translation in all directions. The connection at F can only resist translation in the +z direction. The connection at E can resist translation in the +x direction and the +z direciton. A force of F = 250 ĝ kN is applied at B. A second force F2 = - 225 î + 140 ĵ - 60.0 k kN is applied at point C. Determine the reactions at connections D, E and F. Enter your answers in Cartesian components. F2 B F E Values for dimensions on the figure are given in the table below. Note the figure may not be to scale. TE Variable Value a 1.84 m 2.13 m 2.76 m The reaction at D is D - k kN. The reaction at E is E k kN. The reaction at F is F k kN. + + II

P2-6. stablish a position vector from point A to point B. 3 m -4 m 3 m 4 m

Determine the resultant of all parallel forces acting on the rocker arm. 4 ft 5 ft Select the correct response: 7 ft 50 lb 6 ft 4' 40 lb 20 lb 2' 3' 5' 60 lb

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. {35k} N B 250 mm d {-50i} N. {-35k} N 30 350 mm A {50i} N