Q.9. Determine the magnitude of the resultant force F Fr+F2 and its direction, measured clockwise from the positive u-axis. 70 30°

Q: Without finding T and N, write the acceleration of the motion a(t) to the position vector r(t) =…

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Q: Find the work done when a constant force F =14 lbs moves a chair from x =2.9 to x =3.6 ft. along the…

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Q: Which of the following is the directional derivative of f(r, y) = at the point (0,0) in the…

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Q: Which of the following is the directional derivative of f(r, y) = r'y at the point (-1,-1) in the…

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Q: Suppose that over a certain region of space the electrical potential V is given by the following…

A: Given that, the potential function is Vx,y,z=5x2-3xy+xyz   (a) Find the rate of change of the…

Q: How much work is required to move an object from x=4 to x =11 (measured in meters) in the presence…

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Q: Fnd the magnitude of the resulting force. Round to the nearest Newton. B: 11.1 N, 111° A: 10.0 N, 0°…

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Q: Find the work done when a constant force F =11 lbs moves a chair from x =2.4 to =4.6 ft. along the…

A: In this question we have to find work done.

Q: The velocity of a particle moving in the xy-plane is given by the vector v(t) = (-5 sin(t²), 2e¬6t…

A: we now that if velocity vectoe at time t is  v(t)=vx , vywhere v1  and  v2  are integrable function…

Q: 1. Suppose that r(t) = (3 cos(3t) t,3 sin(3t), 5t). a. Determine the velocity, the acceleration and…

A: For velocity vector diffrenciate displacement vector. And for acceleration vector diffrenciate…

Q: Given the following curve: Y: [0, 1] → R? 7t2 t + 9 Calculate the work done by an object moving…

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Q: 1. Suppose that r(t) = (3 cos(3t) · t, 3 sin(3t), 5t). a. Determine the velocity, the acceleration…

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Q: ind the work done by force F = zi + xj + yk in moving an object over the curve r(t) = sin ti+ costj+…

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Q: 2. A BLOCK IS RESTING ON AN INCLINE OF SLOPE 4:3 AS SHOWN IN THE FIGURE BELOW. IT IS SUBJECTED TO A…

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Q: Q3: If the resultant force acting on the bracket is to be 800N directed along the positive xaxis,…

A: Given The given force is 800N and the given diagram is shown below.

Q: If an object is moving along a horizontal line, such that it's velocity, v(t) = cos(3t), what is the…

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Q: Without findingT and N, write the acceleration of the motion r(t)=(cost+t sint)i+(sint-tcost)j, in…

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Q: Calculate the resultant of the two forces shown using the following given values. A = 10.8 kN at 51°…

A: We have to find the resultant vectors.

Q: How much work is required to move an object from x = 0 to x = 6 (measured in meters) in the presence…

A: Work done = Force × Displacement

Q: If r(t)=cos(8t)i+sin(8t)j+5tk, compute: A. The velocity vector v(t)= B. The acceleration vector…

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Q: Q1: Determine the resultant of the force system in next fig. Then locate this resultant with respect…

A: Calculate the horizontal component of the resultant. Calculate the vertical component of the…

Q: How much work is required to move an object from x = 0 to x = 6 (measured in meters) in the presence…

A: Given information:-   How much work is required to move an object from x = 0 to x = 6 (measured in…

Q: 5. Given R(t)= 2 sin ti+5 cos tj+tk. Find T (t) and N(t) of the mov by the given vector.

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Q: Q3. For the motion vector r(t) = ti+ In (cos t) j, find (i) The velocity (ii) The speed at t=t (iii)…

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Q: Suppose that over a certain region of space the electrical potential V is given by the following…

A: Given that, Vx,y,z=4x2-3xy+xyz Find Vx,Vy,Vz:  Vx=8x-3y+yzVy=-3x+xzVz=xy Gradient of V at P(6,6,5)…

Q: Suppose that over a certain region of space the electrical potential V is given by the following…

A: (a) Given: The electrical potential at point x,y,z ,Vx,y,z=5x2-3xy+xyz . Concept used: The rate of…

Q: Q1: Consider an electromagnetic (EM) in free space whose electric field is given by E = 60 exp [-i…

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Q: nd torsion of the motion r(t) = . Leave your answer correct to two decimal places swer:

A: Solution is given below

Q: 4. Determine the resultant of the forces: F, = 440 N [N29°E] and F2 = 275 N [S23°E]. %3D Answer:

A: By using vector addition.

Q: Q3. For the motion vector r(t) = ti+ In (cos t) j, find (i) The velocity (ii) The speed at t=T Write…

A: Given motion vector is, rt=t i^ +lncost j^ i To find velocity. vt=ddtrt=ddtt i^ +lncost j^=ddtt i^ +…

Q: Without finding T and N, write the acceleration of the motion a(t) to the position vector r(t) =…

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Q: Ex.9 The work of the force F(x, y) = (x², xy²) along the boundary of the square [0, 1] x [0, 1]…

A: The given work force is Fx,y=x2,xy2 along the boundary of the square 0,1×0,1, counterclockwise…

Q: 2 A force of F(x)=4cos (2x)-7 sin(x), x is in meters, acts on an object. What is the work required…

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Q: A. Without finding T and N, write the acceleration of the motion a(t) to the position vector r(t) =…

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Q: Being r the position vector radius, solve d + 2 dr + T=0 dt?

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Q: Be r(t) = (5 – 8Vt)i + sin(t + 4)j k. calculate T(4) that is, the unit tangent vector at t = 4 24

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Q: The magnitude of the torque t developed by applying a force F at a point with position vector r at…

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Q: 3. Given r(t) = 12ti + 5cos tj + 5 sint k, find the unit binormal vector and torsion.

A: The unit binormal vector of a vector function is a vector that is perpendicular to both the unit…

Q: It is required that the resultant force acting on the eyebolt be directed along the positive x axis…

A: For, F2 to be minimum, it must be directed perpendicular to the resultant force. Thus, we have:…

Q: 12. Determine the work done by the force, F, in the direction of the displacement, 3. F = 350N %3D…

A: Workdone

Q: 45. The power exerted by a force F = (3fi+ 2ij) N on a particle with velocity v = (31 i – 21² j) ms'…

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Q: Approximate the change in the magnitude of the electrostaticforce between two charges when the…

A: Given,           F(r) = 0.01r2 and we have to approximate the change when the distance between them…

Q: Calculate the tangential component of acceleration for r(t) = 2ti+t j+t°k. Write your final answer…

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Q: The surface differential, dS, corresponds to: A) u/2u² + IdA в) и? (4u? + 1) dA C) uv4u² +1dA D)…

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Q: For the velocity field V =2xyi + 4tz?j – yzk, The acceleration at the point ](2, 21, 1) att = 2] =…

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Q: Given two points A(3, 0) and B( ), find the work done by the following force field in moving a…

A: By using property of integration and definition of work done.

Q: 3. For the motion vector r(t) = ti+ In (cos t) j, find (i) The velocity (ii) The speed at t=N Write…

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Q: 4. The graph below shows the plot of the x-component of the momentum of a 0.5 kg cart on a linear…

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