300 lb/ft 1500 lb-ft В C 2' - 16'- 4' 6' 1200 lb

Q: ii) Find the acceleration of the fluid particle at (1,I, 1).r-1 if: P-(4+ sy+ 27 + 6xr'j+(3ar' +z)k

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload…

Q: The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t) =…

A: y(t) = (1/4) cos(6t)

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

A: The maximum rate of change is always in the direction of the gradient.

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

A:

Q: a) +++ where C is the helix r(t) = cos(t) i + sin(t)j +t k, Osts2T

A: Note:- As per our guidelines, we can answer the first part of this problem as all the sub-parts are…

Q: Using the differential length dl, find the length of the curve. r = 1,0 = 30°, 0° ≤ Ø ≤60° O O 1.530…

A: Given Problem:- using the differential length dl, find the length of the curve  r=1,θ=30°,0°≤ϕ≤60°

Q: The position of an object with mass at time is r(t) =at2 i + bt 3 j 0 <t <1 (a) What is the…

A:

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

A: (a) Find the rate of change of the potential at P (2,4,4) in the direction of the vector v =i + j –…

Q: The following equation can be used to model the deflection of a sailboat mast subject to a wind…

A: As per the question we have the following second order nonlinear differential equation : y'' =…

Q: Calculate the work done by the force F = (x + y)i + (1 y)j along the curve ellipse x^2 /9 + y^2 /4=…

A: We find the work done by the force F = (x + y)i + (1 y)j along the curve ellipse x^2 /9 + y^2 /4= 1…

Q: The current flowing through an element is 2 A, i = 212 A, 0 1 %3D Calculate the charge entering the…

A:

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

A: Magnitude is the size or numerical quantity or value. The approximation change formula is ∆y=f'(a)∆x…

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

A:

Q: Use Gauss's Law to find the charge contained in the solid hemisphere x2 + y2 + z² < a², z z 0, if…

A: Given:The Electric field, E→=xi⇀+yj⇀+7zk⇀Equation of solid hemisphere isx2+y2+z2≤a2       ,z≥0To…

Q: A seasoned parachutist went for a skydiving trip where he performed freefall before deploying the…

A: The False Position (also known as the Regula-Falsi) method uses the formula:…

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

A: A detailed solution is given below

Q: What force is required so that a particle of mass m has the position function r(t) = ti + 3t²j +°k?…

A:

Q: F= (e* – y+ xcosh(x))i+ (y³/2 + x)j.

A:

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

A:

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: Use Gauss's law to find the charge enclosed by the cube with vertices (±2, ±2, ±2) if the electric…

A: The net charge enclosed by a closed surface S is given by Q=ε0∫∫s E.dS We can divide S into 6…

Q: Identify the work done, J. F.dr by an electric field, E = (x + xy)î + (y + 5)f – 5zk V/m to move an…

A: Work done along the curve C by vector field F . Where C is given by parametric equation r(t)…

Q: nd the increase rate of the scalar V at point P from origin to the point P(12 , 1,11 here V=…

A: As gradient of a scalar function gives the magnitude and direction of rate of change.

Q: Find r(t) and v(t) given acceleration a(t) = (t, 9) , initial velocity v(0) = (2, –6), and initial…

A: Please refer to the image below.

Q: Determine the resultant of the given forces. f1 acting due north with a magnitude of 12 N and f2…

A: Given thatForce f1 acting due north with a magnitude of 12 N and f2 actingdue east with a…

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: Find the velocity and acceleration vectors in terms of u, and ug- de r= a cos 20 and = 5t, where a…

A:

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

A:

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

A:

Q: Solve the sifferential equation using tHce Laplace transforms- you y =I y lo)=y'(0) = y"(0)= 6 %3D

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: Uo (r² + a?) cos 0. u(r, 0) = ) Hence show that the velocity components of the flow are ди Ur = ax…

A:

Q: O Solve the electric flux through a paraboloid z =x² + y² – 16 that lies below plane z = 0. It is…

A:

Q: Find the resulting force, R what additional force F is needed for the object to be in static…

A: F1 = -12i + 8j F2 = -9i - 15j F3 = 11i + 7j Resulting force is the sum of all the forces. Static…

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

A: Over a certain region of space the electrical potential V is given by: V(x,y,z) = 3x2 - 3xy + xyz…

Q: A 10 kg box is pulled to the right by 50 N force. If the friction force is 12 N, then the…

A: Given,  Force =50N Friction force =12N Mass= 10kg

Q: Solve the following potential equation on the rectangle indicated: Pu 0, 0<т <а, 0<y<b %3D dy? u(0,…

A:

Q: Find the work done by the force F = eyi + (ln x)j + 3z k, where force is measured in newtons, in…

A: Given information:

Q: F(x, y) = (3x-4y2i+6yj by the force in moving a particle in the positive direction once around the…

A:

Q: Q7) The work done by the force F = 2j to move a particle from the origin to the point (3,3,3) is:

A:

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: (a) Identify the work done, S. F.dr by an electric field, Ē = (x + xy)î + (y + 5)ƒ – 5zk y2 V/m to…

A:

Q: Calculate the work done on a particle by the force field F(x, y) = (4y + sin(x), 3e" – x) as the…

A:

Q: roțațion 90° counterclockwise about the origin Ay R T

A: The figure SRT is to be rotated counter-clockwise about origin by 90°. The resulting figure will be…

Q: A proton traveling at 31.0° with respect to the direction of a magnetic field of strength 3.23 mT…

A: This question can be easily calculated by applying the concept of motion of particle in a magnetic…

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…

A:

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

A: The equation of electrical potential                                  V(x, y, z) = 3x2 -2xy + xyz

Q: Given the force field F = (2xze* - 4, cos°z, x?e**: - 3ycos?z sin z) Solve for the work done by F in…

A:

Q: L.Mediante la tabla de Transformada de Laplace Determine la transformada de Laplace de las…

A: