The Force Table - Vector Addition and Resolution "Vectors? I don't have any vectors, I'm just a kid."-From Flight of the Navigator PURPOSE To observe how forces acting on an object add to produces a net, resultant force To see the relationship between the equilibrant force relates to the resultant force To develop skills with graphical addition of vectors and vector components To develop skills with analytical addition of vectors and vector components EXPLORE THE FORCE TABLE APPARATUS; THEORY 490...
Activity 1-6: Addition and Subtraction of Vectors by Components If we add two vectors, we can break up the addition by components. For example Since the x-components point in the same (or opposite direction), we can add the values of the components separately to get the overall vector component in that direction. Once we have the overall components, we can get the magnitude of the vector and its direction by using Pythagorean's theorem and trigonometry. In what follows, we will...
below, if θ 60° and IFI = 30 kN, Given the 2-dimensional force vectors shown in the figure determine: (a) The magnitude of the resultant force x-axis. (b) The direction of the resultant force, measured clockwise from the positive 50 kN 5 3 4 40 kN
Tasks: Add the following sets of vectors using the force table: 1. Two vectors: 。 1.47N at 0 . = 1.47N at 90 2. Two vectors: 。 2.94N at 155 . = 1.27M at 290 We were unable to transcribe this image。 = 2.94M at 155 F2 = 1.27N at 290 = 1.27 N at 25 。 . Required Results: For each of the three tasks you need to add the given vectors three ways. First, add them using the...
Section 1.7 Vectors and Vector Addition 1.24 For the vectors A and Figure E1.24 B in Fig. E1.24, use a scale drawing to find the magnitude and direction of (a) the vector sum A + B and (b) the vector difference A -B. Use your answers to find the magnitude and direction of (c)-A-B and (d) B-A. (See also Exercise 1.31 for a different B (15.0 m) D (10.0 m) 30.0 53.0 25.0O C (12.0 m) approach) A (8.00 m
(3) The figure shows two vectors in the xy-plane, A and B. What is the angle vector B makes with the +x axis? (a) 95° (6) 1190 (c) 112° (d) 102° @108°
3. 3. State the magnitude and direction of each of the vectors given below. a) r-30 m (displacement vector) b) v 60 m/s west (velocity vector) c) F-20N at-45° (force vector) d) p50 kg /s at 25° (linear momentum vector) 4. Provide a graphical example of a 1-dimensional vector (ID) and one of a 2- dimensional vector (2D). Be sure to include reference axes with labels in each case. 5. 1D Vectors. Let vector A +3 units and let vector...
Let v and w be two vectors whose modules are equal to 3 and 1, respectively the angle formed between them is equal to π / 6. If θ denotes the measure of the angle between v + w and v-w, how much is cos θ worth?
Several vectors in the x-y plane are shown in the figure with their tails at the origin of the coordinate system and with a label at their heads. Two of these vectors are given in terms of the unit-vectors i and j as P = (1.80 i + 1.30 j) and Q = (-1.50 i + 5.40 j), where i and j are measured in meters. Identify vectors P and Q in the figure. The label of vector P on...
3. There are 3 vectors drawn to scale below. It is known that the addition of three vectors R=A+B+C . Determine the magnitude and direction of C graphically [i.e. using protractors and rulers]