Express force Fas a Cartesian vector, then determine its coordinate direction angles Given: a = 1.5 ft b = 5 ft A e- 3 t 60
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- Given r=4i6j+2km (position vector) F=20i+40j30kN (force vector) =0.8j+0.6k (dimensionless unit vector) compute (a) rF; and (b) rF.Need some assistance with this. l = 1.95 mm. w= 1.89 mm. h= 5.82 m. Coordinates for Point A is A(2,2,2)m Coordinates for Point D is D(2.25,2.5,0)m Force F acts along EA, (Magnitude is 55N) Force P acTS along AD 1. What is force F in Cartesian Vector form. (Fx, Fy, Fz) 2. If we are calculating the moment that Force F creates about point B, WHAT vectors will be used ? 3. If we are calculating the moment that Force P creates about point B , WHAT vectors will be used ? 4. What is BC as position vector rBC. ( rBCx, rBCy, rBCz ) 5. What is BC as unit vector uBC. (uBCx, uBCy, uBCz ) 6. What is the moment that F creates around B ? (MB) 7. What is the magnitude of the moment that F creates around axis BC. ( |MBC| )HOMEWORK TUTORIAL (continued) 21 Q4 (2-61): The stock S mounted on the lathe is subjected to a force F, which is caused by the die D. Determine the coordinate direction angle B and express the force as a Cartesian vector. Given: F = 60N a = 60deg y = 30deg Notes Comments 548 PM 5/4/2021 1 of 23 2 English Malaysia a E a d0 ENG O Type here to search
- a = 1.2 m b = 1.8 m C= 4 m Force AB = 500 Newtons FAB A Find the z-component of unit vector AB. (Hint: the value should be less than 1). If the calculated answer is not whole number, express it in 4 significant figures. If the value is negative, include a negative sign. Find the Length of AC in m. Find the x-component of unit vector AC. (Hint: the value should be less than 1).It's shown in Fig. 1 that the coordinate frame 0₁X₁Y₁Z₁ is oriented at an angle 0 = 30° with respect to 0oXoyozo, and p¹ = []. Find rotation matrices R and R, and show that RR = 1, where I is an identity matrix. F3 49 F4 H ------- % Yo 00, 01 H Q Search F5 p Q cos A 6 F6 8=30° ** F7 & 7 -40 sin 0 PrtScn F8 Home H F9 End F10 PgUp F$ Magnitude R= Direction 8 = Three forces act on point : A = 60 N at 135°, B = and C in this diagram to the correct magnitudes and directions. When this has been done correctly the dotted vector will become solid. 50 N at -45° and, C= 75 N at 60° 2. Pick up vectors A, B and C by their tails, and move them into a tip to tail arrangement. When this has been correctly done the resultant R will appear. measured Estimate the magnitude and direction of the resultant Based on this diagram, estimate the magnitude R and direction of the resultant. from the force R using the tip-to-tail method. 1. Move the tips of forces A, B, Submit part Submit part
- The position vector rAB = 150i – 85j + TAB2 k has magnitude equal to 188 m. a) Determine the z-component r48 2 (positive). b) If the coordinates of point A are (25, 50, -20)m, define the coordinates of point B. c) Find the angle in degrees of the vector with the y-axis. d) Express a unit vector parallel to rAB in terms of components.For the pipe assembly shown: (a) Determine the magnitudes of the components of F= 600 N acting along and perpendicular to segment ED (FED parallel and FED perpendicular). (b) Define canonically (cartesian vector notation) the vector Fa, as the projected component of vector F along (parallel) to segment BA. 2 m 2 m 2 m 3 m E B F=600 N Submit the outcomes of H02-02 in a logical sequential descending order immediately after the H02- 01 outcomes. Add them to the single PDF file to be submitted, just as if you were submitting a hard- copy. Maximum size of the single PDF file is 10MB.10 / 36 110% Q22](problem 2/28: p37) (¿ãt2) Determine the resultant `R" of the two forces Shown in fiqure, and find the angle o" between R and A- 10 800 N the x-axis . 900 N 25 4" Ane R=10379 N . 0 =66-8 Q23]( problem 2/25 's p37) Exemple201-2o At What angle x must the Type here to search
- a = 1.2 m b = 1.8 m c = 4 m Force AB - 500 Newtons FAB Find the y-component of unit vector AC. (Hint: the value should be less than 1). If the calculated answer is not whole number, express it in 4 significant figures. If the value is negative, include a negative sign. Find the z-component of unit vector AC. (Hint: the value should be less than 1). Find the x-component of Force AB in N.The moment of the weight W about the origin O is by definition ODx W. a- D. a. W Note sin theta sine mass = 30 kg a = 0.6 810 Analyse the figure in order to determine the rectangular representation of each vector W OD= %3D e Mi L UNI. XD File ete to search6 m! 1.0 m TS 2 m 3 m 2m 2 m The magnitude of one of the forces is T2 = 80 kN. Find the rectangular representation of T2. * The magnitude of one of the forces is T2 = 80KN. Find the rec tan gular representation of T2. T2 = (-22.86 i + 34.29 / + 68.57 k) N T2 = (-22.86 i – 34.29 j + 68.57 k) N T2 = (22.86 i - 34.29 j + 68.57 k) N T2 = (22.86 i- 34.29 /-68.57 k) N