i) The position of a point P of a rigid body B is located at B₁ = [1, 2, 3]¹. Determine the global position after rotation 3 about X-axis and then 45° about Y-axis.

Q: Find the magnitude of the two components of F directed along AB * .and AC A F=200 N 30° 50 o в

A: Given two member frame :

Q: 1) Express force Fd as a vector in the coordinate system. 2) Express the moment about Point O due to…

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Q: If the force vector F=(33i-45j+53k) N. a=4 m; b-3 m; c=2 m; a a a F 4a) Determine the magnitude of…

A: Those physical quantities which have both magnitude as well as direction. For example, velocity,…

Q: Answer the following question: 2. What is the difference between a scalar and a vector with what is…

A: Given data: What is the difference between a scalar and a vector?

Q: A frame B is rotated 90 degree about the z-axis, then translated 3 and 5 units relative to the n-…

A: Rotation Kinematics: Kinematics describes motion. Rotational kinematics describes the relationship…

Q: Find the magnitude and direction of resultant R when A=110N and B=55N, (-2,41 Graphical Solution 1.…

A: Given A=110NB=55NθB=15o

Q: Use the dot product to find the angle between the position vectors A and B

A: From the given figure, calculate OC using the Pythagoras theorem. OA=180 mm2+200 mm2cos40°…

Q: three forces act concurrently on a body. Force A has a magnitude of 200N and points 50°N of W; force…

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Q: The moment of the force F-240-lb about the point O in Cartesian vector form is. 1 ft 4 ft 2 ft 4 ft

A: From the figure we have to find moment of force F about point O.

Q: If the tension in the cable is F , determine the magnitude of the moment produced by this force…

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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: a: Express the vector î+ Ĵ in terms of the triad i' j' k' where the x' z' axes are rotated 60 degree…

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Q: Find the center of mass defined as the area between the parabola Y = x'b and the line Y =b y = b

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Q: Determine the position of the resultant along the z-axis of the system of concurrent forces having…

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Q: B1.5 m /C 1.5 m P= 0.8 kN T-1.2 kN 3m 015 m 3 m 2 m Im D - Determine the x-, y-, and z- components…

A: Given figure

Q: 2. Determine the resultant of the system of concurrent forces having the following magnitudes and…

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Q: 1 ) T = cos 0 a, + r sin 0 cos o a, + cos 0 aó .2

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Q: What is the x-component of the resultant

A: To determine the X component of the resultant.

Q: 6) FIND THE MOMENT OF THE FORCE F ABOUT POINT A, USE VECTOR ANALYSIS. 19² 24" F = 650 lb 30" 15

A: Given:The force is .Consider an image below:

Q: Solve for the magnitude of the resultant and the direction cosines of the following cartesian…

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Q: If a = 2m, b = 3.6m, c = 6.3m, FAB = 870N, determine the projected component of the force acting…

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Q: A triagle is defined by the three points A(2,-5,1), B(-3,2,4) and C (0,3,1)  Find: a. Rbc and Rba…

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Q: Write the position vector B/A that points from point A to point B.

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Q: Q 2: If A = 2 i +4j + k and B = 4 ỉ - 4j + 8 k Find the vector projection of à on to B and also B on…

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Q: 3. Determine the magnitude of the vector sum V = V1 + V2 and the angle which it makes with the…

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Q: A rod of mass M and length Lis nonuniform such that its mass per unit length varies with x according…

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Q: a:\ If A- 21 - 3j + k and B--i+3j+3k Find: 1- The angle between the two vectors. 2- Unit vector…

A: For solution refer below images.

Q: Find the z-component of Force AB in N.

A: Given data: Force along 'AB', FAB=500 N  Also given the distances, a=1.2 m, b=1.8 m, c=4 m (1)…

Q: Magnitude of Vectors in 3D Let a =(2, -4, 6). Find a.

A: Given, Vector a → = < 2 , -4 , 6 >   From the vector, x-component of vector = ax = 2…

Q: Q1 Rotate the box in the figure, about line OA clockwise by 30°, then about line OB counterclockwise…

A: In this question the box is rotating about the line OA clockwise by 30o and after that it is…

Q: The vector product of vectors A vec and B vec has magnitude 16.0 m2and is in the +z-direction. If…

A: The product of vector A and B is A→×B→=16k^-8i^×B→=16k^B→=-2j^ The magnitude of the vector B is…

Q: Q2: Determine the magnitude and direction for the resultant for ONE of the showing systems below…

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Q: the vector A= - 2x - y + 9z is firstly rotated +180 degrees around x-axis then Transformed by…

A: Given: A→=-2x^-y^+9z^θ=180°Rotation matrix about X axis=1000cosθ-sinθ0sinθcosθVector after…

Q: The moment of the force F=180-lb about the point O in Cartesian vector form is.

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Q: The figure below shows the positions of the Centers of mass of the three disks on a rotating shaft.…

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Q: Point A (1,2,3) Point B (-2,0,0) Point C (2,-2,2) Given the following points, what is z-component…

A: Unit vector along AB is written. Projection of F along AB is found. Z-component is written…

Q: A ring is attached with 3 ropes. A force of P=250 lb is applied to the ring. The direction of the…

A: Given data  P= 250 (lb) Find the cartesian vector form of the tension TD

Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.