(c) Forces 2i + j,2i – 3j + 6k and -i+ 2i – k act at a point P, with position vector 4i – 3j – k. Find the vector moment of the resultant of these forces about the point Q whose position vector is 6i +j- 3k

Q: A force F = (6 + m)î – (3 + n)j – k passes through the point B whose position vector is b = î - (4 +…

A: Given force is…

Q: (a) In a Cartesian plane, if the position vector of a moving particle is given by F = ri+ yj, then…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Part 1: Three forces lying on the xy-plane are applied on a rock stuck on the ground (situated at…

A: Given that, Three forces lying on the xy-plane are applied on a rock stuck on the ground (situated…

Q: The position vector of a particle is r(t). Find the requested vector. The acceleration at t = for…

A:

Q: A force F = 2i +j - 3k is applied to a spacecraft with velocity vector v = 3i - j. Express F as a…

A:

Q: 2. A 6-mC (millicoulomb) positive charge is located in vacuum at P(3,-2,-4), and a 5-uC…

A:

Q: A parametric equation of the line (D) passing through A and parallel to the vector v is: x = 2+3t y…

A: Given, The parametric equation of the line D passing through A and parallel to vector v is  x =…

Q: 47. T'he points A and B have position vectors (i - j+ k) m and (2i – 3j + 4k) m respectively. The…

A:

Q: Find the work done by the force F = 7i - 3j in moving an object from the point (2, 2) to the point…

A:

Q: X, y, z) = (10y - az – 5x)i + (3by-x +8z)k + (z – 5y + 2cx)j (2) Find the real values of a,b,c that…

A:

Q: A particle is moving along the curve having the vector equation R(t) = ti+t²j+ tk. Find the vectors…

A: The given position vector is  Rt=t i + t2 j + t k.   The velocity vector is given by Vt=R't=i+2t j…

Q: Find the tangential and normal components of the acceleration vector  #39

A: Obtain v(t).

Q: QI. If R = ti + 3 sin t j + 3 cos tk is the position vector of a particle in space. %3D Determine…

A:

Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i3j-k, find vector normal to A and In plane of A and, B.…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

Q: 1) Find the MAGNITUDE and DIRECTION of the RESULTANT of ALL the forces at point A

A: To find the magnitude and direction of the resultant force.

Q: A. Given force (F = F1 – F2), transform the force vector F to cylindrical coordinate system at point…

A: The given vectors: F1=25ax-17ay+12azF2=15ax+9ay+6az

Q: (6) The position vector of a particle is F = 4i-3j+ k, It is acted upon by a force F= 21-4j+8k. Find…

A: By using definition of tarque, we find the cross product of F and r , as in next step.

Q: A particle is launched from the origin in R^3 with initial velocity v(0) =  and undergoes constant…

A: consider the provided question, v0=0,8,10a=2,-1,-5vx=0, vy=8, vz=10ax=2, ay=-1, az=-5then,…

Q: 1.2. Given the following Force Vectors: FORCE VECTOR Flo 0 -50) F„[0 _0 -117] Fel-102 -12 77] F,[O 0…

A: 1. For F→A=-50k^, EA→=-9i^-5j^ M→=EA→×F→A   =i^j^k^-9-5000-50   =i^(250)-j^(450)+k^(0)M→=250i^-450j^…

Q: WHICH ANSWER IS CORRECT? Given the curve C parametrized by the vector equation r⃗…

A: Given :- The curve C parametrized by the vector equation r t = 3 sin t i^ +2 - sin t +cos t  j^…

Q: orthogonal to the vector y = (2)? You may want to go through the proof of When is the vector x =…

A: Here,        x = (3, 4)T       y = (-4, y2)T x and y is orthogonal if xTy = 0.

Q: Find the position vector for a particle with acceleration, initial velocity, and initia a(t) = (2t,…

A:

Q: Find the component of the force 5i+7j-k in the direction of the displacement PQ, where P(3,0,1) and…

A: The given force is

Q: (b) A force of F=5i+3j-2k is applied to an object, which moves it from A =i+j+kto В - 5i —j+2k.…

A: Follow step 2.

Q: A particle moves so that its position vector r at timet is r = a cos wt + bsin wt, where w is a…

A:

Q: A particle of mass 2kg is acted upon by a force of magniude 14N acting in the direction of the…

A: Please see the answer in step 2

Q: - The vector component of the force (3i- j + 2k)N in the direction of the vector (-4j + 3k) is A…

A: The solution is given as

Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.…

A:

Q: The position vector of a particle r(t) = ti + 7 In j+k. Find the acceleration 5 +t vector at t = 1 7…

A: Let r(t) be a twice differentiable vector valued function representing the position vector of a…

Q: Q1: A force of 9 newtons is applied in the direction of the vector from P,(1,0,1) to P2(3,2,0).…

A:

Q: 3. A force F = (6 + m)î – (3 + n)j – k passes through the point B whose position vector is b = î –…

A: Calculate moment:  M=r×F   =b-a×F   =i-4+mj+k--i-3j+5+nk×6+mi-3+nj-k   =2i-m+1j-4+nk×6+mi-3+nj-k…

Q: 4. A force F = (0+ 1)i - 0j – R Determine the vector moment, M, of F about the point P with the…

A: We have to solve given problem:

Q: Show that the vectors a = 3i+ 4j and b = 4i - 3j are perpendicular. A smooth sphere A of mass 2m…

A: Consider the given: a→=3i^+4j^b→=4i^-3j^ mass M of sphere A=2m velocity of sphere A of mass…

Q: Find the projection vector of the force F = 2 i + 3 j onto the line between the points A(3,4) and…

A: The given problem is solved below in detail.

Q: If an object is stationary (at rest), then the sum of the forces acting on the objectequal the _____…

A: An object is at rest only when sum of all the forces acting on the object is zero.

Q: 2. The block shown in Figure 2 is acted on by its weight W= 400 lb, a horizontal force F= 600 lb,…

A:

Q: Find the acceleration vector for the position vector r(t): = (sin(11t), 2t", e-10t).

A:

Q: 1. The position of a particle moving in the ry plane at time t units is given by the vector equation…

A:

Q: The force exerted by an electric charge at the origin on a charged particle at a point (x, ) with…

A: given F=k rr3 r=xi+yj+zk also r=x2+y2+z2 and given points of straight line 2,0,0 to 2,2,3 claim- to…

Q: F

A:

Q: If a force F-2i -3j+k acts at the point (1,5,2), then the torque about z-axis is 13k 13 -13

A:

Q: 3. A force F = (6+2 )î – (3 +0)j – R passes through the point B whose position %3D vector is b = î –…

A:

Q: Find the acceleration vector in terms r=2 cos 4t and 0- 2t O A. a (-40 cos 4t)u, + (32 sin 4 O B. a…

A:

Q: A force F = 2i + j - 3k is applied to a spacecraft with velocity vector v = 3i - j . Express F as a…

A: We have given the force F = 2i + j - 3k with velocity vector v = 3i – j.

Q: ) orthogonal to the vector y = (2)? You may want to go through the proof of When is the vector x =…

A:

Q: Part 1: Three forces lying on the xy-plane are applied on a rock stuck on the ground (situated at…

A:

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A:

Q: Q2: A point move in a space with an acceleration vector given by = 4 sin 2t + 6t j+ e-tk If this…

A:

Q: 2. Find the equation of plane which passes through the point (1,2, –3) and the vector i – 2j + 3k is…

A:

Q: Find the vector projection of a force F = 5i + 2j onto v = i - 3j and the scalar component of F in…

A: The force F=5i+2j onto v=i-3j Scalar component.Let a and b be two vectors, scalar projection of the…