204. A uniform bar of length L, cross-sectional area A, and weight W is sus- WL pended vertically from one end. Show that its total elongation is & = • If 2AE its weight per unit volume is w, show also that & wL? %3D 2E

Q: Solve the following given vectors A, B and C: A = 2î + 3j + k B = -41 + 2j – k C = 2î – 3j+ 4k a)…

A:

Q: Q3: Express the vector A = 2√3i + 3√√3j-2√√2k in the primed triad i'j'k' in which x'y'-axes are…

A:

Q: O. Add the following vectors: 5mE;7.5mS60°w;10mN; 3.5m35°N of W.

A: We will first draw the diagram showing the given vectors. We will then resolve the vectors into…

Q: In the eircet cepresented helou The Capaciter stancts_ aut fully dischorged(soqlts0.00s) oc ,ue…

A:

Q: The vector V3 of the figure is equal to: A. V2 - V1 B. V1 /cos θ C. V1 - V2 D. V1  + V2 E. V1 cos θ

A: The three vectors are given as V1 , V2 and V3.

Q: The components of vector are A = - 3.5 and A = - 5.4, and the components of vector , are B = -4.3…

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Q: 6. If a = D mm, b = 1.5 D mm, Q₁ = D nC, Q₂ = D nC, and q = C nC in the figure, what is the…

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Q: Solve for the force and PE on q in terms of 1, a, K and A.

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Q: A vector field is defined by:  F (x,y,z) = -xi - yj + zk  Select the option that gives F expressed…

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Q: Find a vector n that is orthogonal to each of the vectors v = (2,0, –1) and w = (1,2, 1). Select…

A: (d) n= (2, -3, 4)

Q: 2. Given vector: p= r* coso f +r² coso0 +r cos0 sinoo Find V.p

A:

Q: Given two vectors: = -3î + 6j – 5k and Ñ = -2î + 3j + k The magnitude of 2Ñ – Mis (A) 39.2 (B) 7.07…

A: Given Information:- Two vectors are  M→=-3i^+6j^-5k^      and N→=-2i^+3j^+k^   Required:- We need to…

Q: For the following three vectors, what is 3 C (3A x B A = 3.00î + 4.00 – 3.00k B=-4.00î + 3.0oj +…

A: A→ = 3i^ + 4j^ - 3k^B→ = -4i^ + 3j^ + 2k^C→ = 6i^ - 7j^3.C→ = 3.(6i^ - 7j^)= 18i^ - 21j^

Q: Consider two charge Q₁ 1 x 10-6 [C] and Q₂ = 5 x 10-6 [C] separated by a distance r = 0.05 [m]. What…

A: Given: Q1 = 1*10-6c Q2 =5*10-6c r =0.05m

Q: II. Solve the following problems and show your complete solutic m R₁=2002 240 V R₂=300 R₂=500 w…

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Q: A circular region (radius R = 79.9 m) has a magnetic field perpendicular to the plane of the circle,…

A: Let S denotes the area vector, B denotes the magnetic field, E denotes the induced electric field, d…

Q: A vector function is given in spherical coordinates as Ď= âR 0.4 sin 0 Evaluate the integral fs Ď.dš…

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Q: Fompute the curl of the vector field F(r, o,0) = res+ cot o eg

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Q: (Ảx C) · (Ć × B) given the following vectors: Find A = 21 + 5j B = -31 – }+ 2k Ĉ = 1 + 4j A 51 B В…

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Q: AB+ AC 6. Consider the triangle ABC and the point O defined by AO= 3 BC. Prove that AM = 1=²40. A .…

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Q: In a thundercloud there may be electric charges of +38.0 C near the top of the cloud and -38.0 C…

A:

Q: Find a vector that is perpendicular to both vectors P and Q? (4. 1.) 3, 1, 4 1, 5, 9 %3D

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Q: A) Write the vector form of D, E, and F. B) Find F x D · E 7 in E 15 in 12 in F 10 in

A: position coordinates:a: 0,10,0F:12,10,0c:0,0,15g0,0,15e12,0,0

Q: u and v are arbitrary vectors and A is an arbitrary tensor. Does A(u x v) = Auxv +ux Av?

A: Given:  u and v are arbitrary vectorsA is an arbitrary tensor.

Q: Give a basis for the indicated vector space over the field.             ℚ(∛2) over ℚ

A: Given:-             a = 23α3 = 2α3-2 = 0α = 0 of x3-2∈ℚxRecall the corollaryThe polynomial xn±p =…

Q: 3) Jack takes a 4.0-kg bucket of water connected on a cord, and swings it in a vertical circle of…

A: The situation can be shown as below,

Q: → Add the three vectors shown to form a resultant vector R, and report your result using polar…

A:

Q: Express the 8.9-kN force F as a vector in terms of the unit vectors i, j, and k. Determine the…

A: Solution: Given That F = 8.9 kN by taking vectors , we can find Fz = 8.9 sin31° Fz = 4.58 kN F' =…

Q: En the eircet epnesented helow he Capaciter starts out fully discharged Goq(Es0.0os)a 0.0ocjo tue…

A: WE KNOW THAT for parallel resistance  1/ R = 1 / R1 + 1 / R2  +  1 / R3 FOR SERIES Resistance  R =…

Q: Find the divergence of the vector field. (V.V=V + OV₂ + 2/₂V₂) дх дz V(x, y, z) = (x²y, 3y, 5) =…

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Q: Prove that (é,. ở)² = 12x2 with é, the unit vector in the direction of

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Q: Q1 [20 point]. In Figure 1, an insulating rod is bent into a semicircle of radius R. A charge -Q is…

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Q: In the diagram to the right q, = xx nC, where xx is the last 50 2 digits of your student number. If…

A:

Q: Q2 Compute the curl of the vector field F(r,o,0) =res+ cot o ee in spherical coordinates.

A: In spherical coordinate system, three basic parameters are the polar coordinate r, the azimuthal…

Q: K is a vector field and V is a scalar field. The divergence of K is equal V; that is V = V.K.…

A: This problem is from Electrodynamics. Let's solve it step by step. Please have a good look Given…

Q: Given a vector field A = 5x ^ 2(sin (pi*x)/2) i, find V.A at x = 1

A: Vector A = 5x².(sin (pi.x)/2)i

Q: Express the unit vector a, in spherical components at the point: (a) r = 2, 0 = 1 rad, p = 0.8 rad;…

A: The unit vector ax in spherical components is given by Where Because

Q: 200 m y ---- x

A: Give:- vAB= 26.14 i + 10.1576j m/s vAB=28.045 m/s  Find:- write vAB in terms of polar coordinate

Q: Compute for the resultant vector R of the following given vectors А. A = 230 Newtons, 35° N of E В.…

A: The given vectors are A→=230 N, 35°N of EB→=400 N, 15°W of NC→=550 N, 20°S of WD→=230 N, 45°E of…

Q: Q(2) Consider the two vectors A= 31 – 2j and B = 2i – 3j. Calculate the angle between the two…

A: Given the two vectors  A= 3i - 2j and B = 2i - 3j. We have to find out the angle between the two…

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.