If u=3i-4j+k and v=i+4j+2k and theta is the angle between them: determine the angle and indicate the quadrant to which it belongs

Q: Given the equation of the circle x + y? - 2x - 4y+1 = 0, find the centre of this circle. A. (-1,2)…

A: Given Data- The equation of the circle isx2+y2-2x-4y+1=0.

Q: " 12 13 30° F₂= 200 N 5 F3 = 260 N the magnitude of the resultant force acting on the bracket is to…

A: Write the algebraic sum of forces in x-direction.…

Q: -2 (2) y zy 4 (y 3) Simplify:

A: Following question is solved which belongs to the engineering mathematics under mechanical…

Q: To XX Tyx=-60MPa T. = 40MPa ZX = 100MPa (C) Txy = -60MPa Oyy = 0 Tzy = 0 Txz = 40MPa Tyz = 0 622 =…

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Q: theta = 33 degrees M1 = 450 Nm M2 = 550 Nm M3 = 650 Nm

A: The moment M2 can be resolved into x and z components as, The net moment in vector form can be…

Q: 8 кN 40° 70% 9/N TI

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Q: Find the coordinates of point B 35 ft 20° 50 ft B ∙y

A: Find the coordinates of the point B.

Q: Determine the absolute value of the first moment of the area (in mm) about the indicated x-axis in…

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Q: Determine the unit vector of r.

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Q: theta - 33 degrees M1 - 450 Nm M2 - 550 Nm M3 - 650 Nm M3 "t Find the angle of the resultant moment…

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Q: O change from polar to Cartesian Co-ovdinates , © (-4,2),@ (5,ú eV= -2- Cose O change from Cartesian…

A: The relation between Cartesian and polar co-ordinate can be expressed as follows:

Q: A point is on the x-axis. It's y- coordinate * and z-coordinate are respectively z,0 O 0,0 O y,0 O y…

A: Consider the following point on the x axis as shown in the figure below.

Q: Find the angle of the resultant moment with respect to the positive y-axis (beta in degrees). If the…

A: Given,  M1=450 N-mM2=550 N-mM3=650 N-m Angle, θ=33° Moment along x-axis, Mx=M2x=M2cosθ=550 cos…

Q: '. Oetermine the resultant OF the given vec fors ond the angle from the positive x- axis. vse Ony…

A: Given Data⇒ F1=500 N F2=300 N

Q: theta = 33 degrees M1 = 450 Nm M2 = 550 Nm M3 = 650 Nm M3 M, M| Find the angle of the resultant…

A: M1 = 450 N-m M2 = 550 N-m M3 = 650 N-m θ = 33' Moment along the X-axis = M2 cos θ Mx = 550 cos 33'…

Q: Using the Cartesian coordinate system, determine the absolute value of the distance x (in mm) from…

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Q: R4 m 4 m 2 m y=2(x-3Y0.5- 1m,

A: The Center of mass is a point where the sum of the moment of the weight of each particle is zero. It…

Q: 20 10 30nPa

A: Given data σx=30 MPaσy=20 MPaτxy=10 MPa

Q: Determine the magnitude and the direction angles of a vector 11i + 3j – 6k. Magnitude is a = B = and…

A: Given that A=11i+3j-6k

Q: All of the rotated axes shown pass through the origin and only one of them is principal. Identify…

A: Answer: Major principal axis - O

Q: 75N 1m 200N 1m B A 360N 150N

A: To find:The resultant at point .FBD:The free-body diagram is shown below.

Q: Q1»Determine the resultant and locate it with respect to point(A)as shown in fig. 120N 40N Scm 100N…

A: This question is solved with the help of the parallelogram law of vector addition.  It states that…

Q: The new coordinates of translated the triangle ABC, A(2,2), B(3,2) and C(2,4) by 2 units in…

A: Given:A(2,2)B(3,2)C(2,4)tx=2ty=3

Q: Show that the point is on the unit circle. 3 4

A: Given Data: The given point is 35,-45. The equation of the unit circle with centre at the origin…

Q: In the figure shown, if (theta)0=78°, F1 = 660 N and F2 = 300 N. determine The magnitude of the…

A: GIven Data F1=660N F2=300 N ∠78°=∠30+x1°∠48°=x1x2+30+48=180x2=102

Q: If direction angles are B = 96° and y = 37°, then get the unit vector. û = 0.593 + ? -0.105 V o j+…

A: Given: Direction anglesβ=96oγ=37o

Q: determine coordinates of points A, B, C in 3D

A: The given information in the problem is listed in the following attached image:

Q: X .A .C .B

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Q: Construct the third b' projection of the given solid and points A, B and C on its surfaces.

A: The side view and front view are given in the problem.

Q: Find the magnitte omot difection-of theresultant focees? 15 usiny Purtatlogrnm tang

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Q: 0 y 60 mm -80 mm 90 mm -80 mm 120 mm x Find the moment of inertia about the x and y axes

A: Given: R = 60 mm

Q: Determine the x and y component of the vector 30 N, 30° North of East. Show the Figure/FBD, given,…

A: F=30 N θ=30° Force in x-direction Fx=F×cosθForce in y-direction Fy=F×sinθ

Q: IDENTIFY the Isometric projection of the orthographic projection shown below. Choose the correct…

A: According to the details provided in the question.we need to find Isometric view of the object that…

Q: Determine the magnitude and the direction angles of a vector 9i + 3j – 7k. Magnitude is and y of

A: Given data: - The vector is v = 9i + 3j - 7k. The coefficient of i is Fx = 9. The coefficient of j…

Q: The second moment of area for the * following figure is

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Q: Draw the cavalier oblique projection of the object. Use 45° for the third axis.

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Q: O Determine the resultant CR) and its direction o ? 10ON 200 N 360 NO9

A: For the above given diagram the angle for the force of 200N is not givenSo assuming it as 60°As per…

Q: 1. Find the resultant and its direction from the x-axis (0,) 7 k 15 k 50 ° 10 k

A: Given:

Q: A -2 2 Semi-circle 0 Determine the moment of inertia and radius of gyration about the x- axis for…

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Q: Calculate the y- and z- coordinates of the point at which the resultant of acting on the object…

A: Given data  Given force system