For the traditional AC configurations prove that for the moment of inertia tensor we have Ixy = Iyo = Iyz = 1₂y =0 -I

Q: 1. Show that the following vector field is conservative: F = (4 xy - 2z)î +(2 xr² - 6 yz ) j +(-3 y²…

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Q: T=10 kN and Theta = 50 Degree The value of the component of F2 on x (F2X) is Select one: O'a. 10 KN…

A: Given data    T=10KN     θ=50 degrees  To determine: The value of the component      F2 on x  F2X…

Q: Transform the rectangular vector (-1.860, -3.987, 2) to cylindrical vector

A: Given: rectangular coordinate = (-1.860,-3.987,2)

Q: [o] = 0 -30 25 -30 25 -40 -15 MPa -15 0 (2) a. Find the traction vector (force per unit area)…

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Q: D.I 4.5-8. Consider the following problem. Maximize Z = 50x1 + 25x2 + 20x3 + 40x4, subject to 2x1 +…

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Q: Whether this function satisfies Laplace equations are harmonic U=x²-y²-2xy-2x

A: given: Whether this function satisfies Laplace equations are harmonic U=x²-y²-2xy-2x

Q: Cartesian coordinat system; A(0,0,0) B(3,4,0) C(3,4,4) F=-20i+10j+15k N is applied to point C Moment…

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Q: Find a unit vector in the direction in which f increases most rapidly at P and find the rate of…

A: Given f(x,y) =5y3x2 ;(-2,-1)

Q: subject 2x, + 3x2 > 30 X1 + x2 2 12 2.x1 + x2 2 20 and x¡ 2 0, x2 2 0. (a) Use the graphical method…

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Q: Find solutions for the divergence and curl of the vector field y at (1, 0, -1). v (x, y, z) = x²z²į…

A: The vector field is V=x2z2i⇀+xyzj⇀+zcosy4k⇀. The position is (1,0,-1) The divergence is ∇·V is the…

Q: a = 4 m b = 3.2 m c = 2 m F = {-7i+4j+12k} N Specified axis: AF   Find the magnitude of the moment…

A: Given data: Image with relevant details   To determine: Moment of a force about AF

Q: [Q3] For the system shown below, a=1.2 m, Pl=1750 N and P2=2150 N. Find moment about DB. D B A a p2…

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Q: 200 lb/ft 800 lb 37 A Bカ 1 5' 4' 21 21

A: I HAVE FULL EXPLAINED BUT IF YOU WANT  ONLY BX DIRECTLY GO FOR SECOND STEP

Q: Find the z-component of the moment of F about the specified axis. Find the x-component of the moment…

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Q: (c) y(x) = 1, r= √√√√√x² + y² + z² I 2

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Q: AD Which following one is WRONG?

A: here from the defination of the moment we can say that, MAB = e^AB . MA    here , e^AB is unit…

Q: Cartesian coordinat system; A(0,0,0) B(3,4,0) C(3,4,4) F = -20i +10 j+15k N is applied to point C…

A: GIVEN :- Cartesian co-ordinates of point A,B and C : A(0,0,0) , B(3,4,0) & C(3,4,4)…

Q: 4. Three uniform masses (each mass: m) are connected by three massless arms whose shown a figure.…

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Q: Given:  Ix= 1/4 pi r4 Iy= 1/4 pi r4 Find:  The moment of interia of the crosshatched region…

A: Moment of Inertia of CrossHatched region is equal to Moment of Inertia of Outer disc - Moment of…

Q: What is the x coordinate of the centroid, C? (include units with answer) What is the second moment…

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Q: ssure P as shoe

A: Given figure as,

Q: Consider the following vectors: • F- 10 @ 0° • G-5@ 180° What is the solution to F+G?

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Q: O Find the following: Component du in the durection of v © the vector tor @v.u, Wl,lul the sScalar ,…

A: 1. (i) v=10i+11j-2k, u=3j+4k (a) The v-u can be determined as, v-u=3j+4k-10i+11j-2k=-10i-8j+6k Thus,…

Q: The moment of the force F=D960-lb about the point O in Cartesian vector form is.

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Q: GIVEN : Let E = 3Qy + 4 0z and F= 40x - 10 ay + 5dz (a) Find the component of E along E Determine a…

A: Given data: E=3ay+4az; F=4ax-10ay+5az Need to find: a) Find the component of E→ along F→. b)…

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

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Q: The resultant forces in two :directions are P=300N K=200N 30 Ry =RX=Zero RX=312.12N and RY= 38.92N…

A: Given data: P=300 NK=200 N Need to determine the x and y component of the resultant force.

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.