Particle A lies on the x-y plane and is acted on by the three forces shown. Find the resultant of the three forces.

Q: Find the centroid of the solid of constrant density p using cylindrical coordinates bounded by the…

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Q: Two vectors are given by a→=1.5î+5.7ĵ and b→=1.4î+2.2ĵ. Find (a)|a→×b→|, (b)a→⋅b→,…

A: Given,  a→=1.5i⏞+5.7j⏞b→=1.4i⏞+2.2j⏞

Q: A particle is subjected to the action of two forces : F1 = 41+ 3 + 6 k [ kN ] and F2 = 51-61 -5k […

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Q: : Let x and y be non-parallel vectors. Prove that (x + y) and (x - y) are vectors perpendicular to…

A: For two vectors A→ and B→, the angle between them is θ. The dot product of these vectors…

Q: Determine the x-and y-coordinates of the trapezoidal shape. 2.0 b Answers: b 1.3 b A FHE )b

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Q: The resultant of four coplanar, concurrent forces is 600 lb, directed S 40oE. Three of the forces…

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Q: Consider the vectors A = 6i + 3j and B = 3î - 6j.

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Q: Consider the following vectors: F = i-2j-3 k G = 2 i-4j-6 k H = i+j+k Find the value of the vector D…

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Q: Calculate the magnitude of the sum of the three vectors: A = 105 N at 35 degree, B = 164 N at 125…

A: A = 105 N at 35 degree B = 164 N at 125 degree And C = 183 N at 208 degree   Magnitude of resultant…

Q: y 60 N 45 N 300 25° 52 N 100 200 26 N 75° 30 N

A: F1 = 52 N @ 10o North of east F2 = 45 N @ 30o East of north F3 = 60 N @25o North of west F4 = 26 N…

Q: Two vectors lying in the xy plane are given by the equations A = 21 + 3ĵ and B = -i + 2 j. Find A x…

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Q: Find the direction of the Force: V B

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Q: Given the three vectors, A = 3i+2j-k, B = -6i-4j+2k and C = i-2j-k, find which two vectors are…

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Q: Determine the magnitude F and the angle theta, if the resultant of the two forces acting on the…

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Q: If the vectors 6i- 2j + 3k, 2i + 3j - 6k and 3i+ 6j- 2k form a triangle, then it is (a) Right angled…

A: Given vector--- vector P = 6i-2j+3k . vector Q = 2i+3j-6k . vector R = 3i+6j-2k . We have to…

Q: Given a force F that has magnitude of 240 N, find the angles ex, Oy, 0z that define the direction of…

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Q: In this question the unit vectors i and j are in the directions east and north respectively. A…

A: The equations of motions can be found using:

Q: Determine if each of the following sets of vectors is linearlyindependent or linearly…

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Q: Given two vectors A = 6i + 9j – 7k and B = –123 – 5k, the magnitude of the vector sum is:

A: Given data:  Two vectors  A = 6i + 9j - 7k B = -12j - 5k Required: The magnitude of the vector sum

Q: A BLOCK ON A 25° –INCLINED PLANE IS BEING PULLED UP THE PLANE BY A FORCE P THAT MAKES AN ANGLE OF…

A: Given, Inclined angle = 25° Angle of force with P with horizontal = 40° Magnitude of parallel…

Q: If F1 = F2 = 30 Ib, determine the angles e and O so that the resultant force is %D directed along…

A: Given,

Q: The two tugboats apply the forces P and Q to the barge, where P=76 kN and Q=52 kN. Determine the…

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Q: Given vectors P=(3 m, 4 m) and Q=(4 m, 3 m), find the angle of P + Q.

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Q: A particle, which remains at rest, is acted on by three forces F, G and H. The force F has…

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Q: Consider the vectors A=4i+8j and B=30i-12j, If 2A-B+7C=-5i-10j. Find the magnitude of the vector C

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Q: The forces F, = (2i + bj) N, F2 = (-i+2j) N and F3 = (ai – 4j) N act through the points wit position…

A: Part a: Since, the system of forces is equivalent to just a couple, the net force must be zero.

Q: A (-3; 2; 0), B (0; D; 6), C (2; -3; 0) and D (0; -3; 0), Since FBA = 152, FBC= 201 and FBD 192,…

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Q: Show that when A⃗ +B⃗ =C⃗ A→+B→=C→, then C2=A2+B2+2ABcosφC2=A2+B2+2ABcosφ, where φφ is the angle…

A: Given:-  A→+B→= C→ Find:-  Show that C2 = A2+B2+2ABcosφ here φ is the angle between vectors A→ and…

Q: In this question the unit vectors i and j are in the directions east and north respectively. A…

A: Given, Mass m=2 kg v=(pt2-3t) i+(8t+q) j

Q: Consider the given coplanar nonconcurrent force system below. Determine the following: Summation of…

A: taking  point A as origin.  we can decompose the respective forces into x and y- components  as…

Q: Find the vector from B to A (AB), given thatẢ = and B =. Answer should be in this form:

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Q: Given two vectors P and Q, which one represents the addition of the two vectors? А. В. С. D. A) A B)…

A: The two vectors are given as follows  Where A,D are the tail points And B,C are the head points

Q: Determine the magnitude of the projection of the vector force F = 100N, onto u axis, from the figure…

A: The projection of force vector F on u-axis is,  Fu = F Cos θ -------(1)

Q: Express the force F as a vector in terms of the unit vectors i, j, and k. Determine the angles 0x,…

A: Write the position vectors of points A and B. Determine the unit vector along AB.

Q: For the following three vectors, what is  3⋅C→⋅(2A→×B→)…

A: (2A X B) can be calculated as follows,

Q: Consider a pair of forces, one having a magnitude of 20N and the other magnitude of 12N .What…

A: The resultant of two forces is given by,

Q: Given are 4 points in space: (x,y,z) A(3,2,3) B(0,1,4) C(2,4,1) D(0,5,4) The line of action of force…

A: Given: forces F=40KN G=50 KN A(3,2,3) B(0,1,4) C(2,4,1) D(0,5,4)

Q: Find the direction cosines of angles from x, y, and z axis of the force F = 350N and passing through…

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Q: Consider the two vectors A = 5 î – ĵ and B = - î – 6 j.

A: As the operations in two vectors A→ =  a1i⏞ +a2j⏞ and B→ = b1i ^ + b2 6j^A→ + B →=a1+ b1 i^ + a2 +…

Q: Let be two vectors, such that a=(3+2j-2k) cm and b=(2î+2j+k) cm, calculate: 1) The angle between the…

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Q: Prove that : V.(AxB)=B.(VxA)-A.(V×B)

A: The cross product, A×B=εijkAjBk…

Q: If Force = (-5,4) and Displacement (-2,-3), find the angle in degrees between the two vectors.

A: Given  F=-5i+4j  Displacement D=-2i-3j   To Find  Angle between vectors θ

Q: Three force vectors act on a free body at the origin as shown. F1= 4 N F2=2.0 i + 3.1 J N F3= 6.3 N…

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Q: Write the force F as a vector, in terms of the variables given in the problem statement. Include the…

A: Given, F = 87 N θ = 19o x component of Force  ,Fx = Fcos(θ)  = 87N×cos(19o) =82.26 N y component of…