1. Determine the coordinates of the centroid of the shaded area. Afterwards, determine thevolume generated by revolving the shaded area around the x-axis. (Final answers in cm and cm^3, 3decimal places) y

Q: In your Cartesian plane find and connect the following points:

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Q: b) Express the force F as a Cartesian Vector. Assume that the magnitude of F is |FAC| = 771 N. 300…

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Q: 9. Find the points of intersection of the parabola (x – 2)² = 4(y + 1) and the circle (x – 2)? + (y…

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

A: Find the coordinates of the point B.

Q: 1- In space the point can be specified by position vector r wnich is given by: Arix+ jy s r-ix+…

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Q: The 788-N lamp is supported by two rods AB and BC as shown in the figure. Determine thetension…

A: From the figure provided in the question A rope system is provided  We need to find Tension in the…

Q: Find the equation of the circle passing through the points(1,2)having its center(4,6)

A: Solution     The equation of the circle             x-a2+y-b2=r2

Q: What is the Cartesian vector representation of the unit vector pointing to point B from point A?

A: The position vector of point A  rA→=(-150×cos30o)i+(-150×sin30o)j mmrA→=(-129.904)i+(-75)j mm The…

Q: In your Cartesian plane find and connect the following points: (3,0) (0,6) (-4,-3)

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

A: F1=500 N ,θ1=45°F2=500 NF3=700 N, θ3=30°F4=150 NF5=300 N

Q: For the Scalar projection of F along r = F * Ur How did you get the -41.924 + 24.0327

A: We have following data:Force vector is, Unit vector in the direction of vector r is,

Q: Find the resultant of the following vectors: d, = 180 km E30° N d2 = 120 km W45°N Use the following…

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Q: Find the distance of the line between (1,1)and (-5,-3)

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Q: IfP =300 N. Write Pas cartesian vector F1 60 l135°, P(N) F3 60 P. 200 N F.

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Q: The vertices of a wedge are given in the matrix show below. Rotate the wedge 30 CCW around the…

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Q: Find the vector format for vector AB. Find the coordinate angles for AB. 5 ft B7 ft· 10 ft 30⁰ 70°

A: Coordinates of the point  A=(- 10cos70sin30 , 10cos70cos30 , 10sin70) B=(5 , -7 , 0) We need to find…

Q: A projectile is aimed to hit a mark in a horizontal plane, but falls short by 20m, when the angle of…

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Q: Al calculate the angles made by the vector ( V= 15i - 36j) with the positive (x,y) axis , also write…

A: Given vector V=15i^ -36j^ + 0k^from eqn x=15y=-36graph for above is given

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

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Q: A support beam is subjected to vibrations along its length, emanating from two machines situated at…

A: Given:To find:Excel plotTime to reach - 2mm

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

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Q: Given the sum of the Minterms simplify the expression by using k-maps and choose the correct…

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Q: n the cartesian plane , we have 40 units for vertical forces and 50 units for horizontal forces.what…

A: Given Data : 40 units for vertical forces 50 units for horizontal forces

Q: Use the matrix relations to fit a straight line to the data 01234 89431

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Q: O vector A is(QmlLong and is 60aboue the XXis Vectar B is (am) Lang ond is 60 below the X axis Find…

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Q: Mirror the triangle shown below along a 45° - axis. ) (1,3) P₂ P₁ (1, 1) 45⁰ (3, 3)

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Q: A 1 an -10 -5 10 B x = 8-y? x = y? – 8 Figure 1 Refer to the Figure 1, (a) Shade the region enclosed…

A: The cross lines (in the below figure) specifies the region enclosed between the graph x= 8-y2 and x=…

Q: e resultant of the moment

A: Determine the resultant of moment.

Q: Image 1: Below are 3 force vectors (Vector A, Vector B, and Vector C). The following questions will…

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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: Find the vector format of vector AB. V C 1 m 2 m A 0.75 m 40° 2 m 3 m B y

A: For a given system, we need to find the vector AB

Q: 20 25 3: Draw three projection of two bodies shown. 50 R40 85 30 50 25 95 15 25 20 25 20

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Q: Ã = 0,5 (42+2ỹ), B = −42 y C = 34¹ Express Consider the vectors the following vectors in their…

A: The vectors are The vector P is

Q: Write down the homogeneous transformations AT & T for the frames shown in Fig.2

A: Given:To find:Transformation matrix .

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

Q: B (15.0 m) Ď (10.0 m) 30.0 53.0 0 25.0° Č (12.0 m) A (8.00 m)

A: given data: vector A⇀=-8j⇀ vector D⇀=-10sin53i⇀+10cos53j⇀

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.