Answered: Represent the resultant of the three…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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(4) The two structural members, one of which is in 3 kN tension and the other in compression, exert the indicated forces on joint O. Determine the magnitude of the resultant R of the two forces and the angle 0 which the resultant vector makes with the +x-axis. Ans: R = 3.80 kN, 0=-21.6° (or 338°) 3 30° 2 kN
Replace the three forces shown by an equivalent force-couple system at point A. If the forces are replaced by a single resultant force, determine the distance d below point A to its line of action. 280 N 510 mm 510 mm 220 N 510 mm 330 N Answers: Force-couple system at A. The force is positive if to the right, and the couple is positive if counterclockwise. R = i M = i N-m Single resultant force. mm
A vector F = 30 i + 40 j is used to represent a force. Identify a unit vector u that has the same direction as F.
If u and v are orthogonal, what is the magnitude of u × v?
Determine the magnitude and coordinate direction angles of the resultant force of the three given forces. F1 300 N, F2 = 600 N, F3 = 900 N. Fi F2 F3 29 70° 20 -55°- 40°
The force P = 2 kN. B 2m A P 2 kN (C) 4 kN (T) 2 kN (T) 4 kN (C) D C 3 m3 m- E P The internal force in member AB is most nearly:
13. The angle between the vectors and .
a) Find the magnitude of the resultant of the forces (2i – 3j)N, (4i + j)N and (-3i + 3j)N. b) Two forces of magnitude 30 N and 16 N act away from a point P and are perpendicular. Find the magnitude and direction of the resultant force (measured from the 30 N force correct to the nearest degree).
1. Determine the magnitude of the resultant of the two forces shown and its direction measured from the positive x-axis. 2.5 kN X 4 kN
1. Find the angle that the vector V = makes with the positive x axis. A
2. Two forces of 70 pounds and 58 pounds act on a body creating a resultant of 47 pounds. What is the measure of the angle formed by the larger force and the resultant, to the nearest degree?
10. Two forces, one of magnitude 5.3 N and the other of 11.9 N act on an object. The angle between the forces is 44º. Determine the magnitude of the resultant and the angle it makes with the smaller force. Complete the diagram.

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Represent the resultant of the three forces and one couple by an equivalent force R at A and a couple M. Find M and the magnitude and direction of R.