Example1: A solid shaft in a rolling mill transmits 20 kW at 120 r.p.m. Determine the diameter of the shaft if the shearing stress is not to exceed 40MPa and the angle of twist is limited to 6° in a length of 3m. Use G=83GPa.

Q: Determine the rectangular representations of the vector F. F=750 N 45 60

A: Given data in question  Vector F Angles Co ordinate system To find out  Rectangular component…

Q: cos x -sin x CoS X 1. 01 0, show that f(a)ƒ(b) = f (a + b). 5. If f(x) = | sin x %3D

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Q: Use the method of virtual work and horizontal displacement of joint C 600 N 2 m 000 N E 2 m B 2 m

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Q: 1. Express the two forces shown as Cartesian vectors. 2. Determine the magnitude and coordinate…

A: Given:- The magnitude of the force along with AB = FAB = 200 N  The magnitude of the force along…

Q: State whether the equation is ordinary or partial, linear or nonlinear and determine its order and…

A: To verify that y is a solution of a differential equation, substitute y in the given differential…

Q: Find the solution of the following differential equation

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Q: A a1 h B D S H1 R.Lof Q = R.L of A + h + H2 H R.Lof Q = H.I of A + s + H1 R.Lof Q = R.L of A + R.L…

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Q: af 11. Iff= show that y √(1-2xy + y²) (x-y) ax af

A: Step 1:Step 2: Step 3: Step 4:

Q: Use Cramer’s rule to solve for x' and y' in terms of x and y: x=2x'-3y' y=x'-y'

A: Equations - x=2x'-3y' y=x'-y'

Q: H.W 1-Replace the polar equations with equivalent Cartesian equations. 6]. r sin 0 = In r + In cos 0…

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Q: d²y 1. Determine the order and degree of the DE x: dx² - ху —D 0. - \dx, a. second order, first…

A: Consider the given situation xd2ydx2-x2dydx2-xy=0

Q: Solve the differential equation (x + sin y) dx + (xcosy-2y)dy=0 (A) B 2 2 +xsiny=c +ysinx=c Ⓒ+² 2…

A: Solution: Given: The differential equation: (x+siny)dx+(x cosy-2y)dy=0 Check for exact equation: The…

Q: (5D3 + 3D2 — 32D + 12)у — 0 | A. y = c1e-2* + Cze¬0.4* + C3e3* B. y = c,e2* + cze0.2x + Cze-3x C. y…

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Q: In the expression for calculating the moment of a force about a point o, M, = rx F, r is the vector…

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Q: Consider the beam shown in (Figure 1). EI is constant. Use Castigliano's theorem. Figure < 1 of 1 C…

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Q: df ff) =. =-arc cot 5x then is equal to dx I+ 25x2 1+25x2 1+5x2 1+5x2 aining

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Q: What is the moment that this force exerts about point A? F = 400N. Also, What is the moment that…

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Q: 71. Find the maximum volume of a rectangular prism that can be inscribed in a sphere of radius 12…

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Q: The two wires are tied to the ring at A. Find P and the tension in the two wires knowing the…

A: Suppose tension in string AB = TB→                 tension in string AC = TC→ weight of sphere W→ =…

Q: 2. Find P, Q, and C if R = 75000 N.mm у 100 N 12 A 30 mm 400 N 3 t -30 mm B

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Q: Det: O for which motion of B impedes

A: ###Calculation of angle thetaa for motion of block B about to start ###

Q: From the figure, determine R.L of Q from A? al B #2 D S R.Lof Q = R.L of A + h + H2 R.Lof Q = R.L of…

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Q: Q4. Determine the unknown force R in each of the following diagrams. a. b. 198 N 38.6 110 R 210 N 75…

A: To find value of R

Q: Determine the ỹ. Measure it from the x-axis. 75 mm 75 mm 50 mm

A: Area of quarter circle = 14×πr2                                 =14×π×1502…

Q: x² + y2 + z? = 21, (1, 4, 2) (b) Find a set of symmetric equations for the normal line to the…

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Q: Reading is .studying grammar. O a. interested than O b. most interesting than O C. interesting than…

A: Reading includes going through a specific subject to accumulate data from it. Studying requires more…

Q: 6. A square has sides measuring 17m. Find its diagonal . *

A: Given : SIDE (a) = 17 Let 'd' be diagonal(s)

Q: Make use of Simpson's rule to calculate the work done W by the gas on the face of the piston.

A: The expression for internal of volume is given as ∆V=V2-V1 Substitute the value in above expression…

Q: *-4x If f(x): Solve to find lim f(x)?

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Q: Show that the complex potential f = U∞{z + 1/4a coth[π(z/a)]} represents fl ow past an oval shape…

A: Consider an oval shape, that is placed in the midway between the 2 parallel walls,…

Q: Solve the differential equation (x + sin y) dx + (xcosy-2y)dy =0

A: Given, (x+siny )dx + (x cosy -2y) dy =0 To solve for above differential equation,

Q: 2.5 m 12 kN Day 1.5 m B 5 m

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Q: 1+sina 2 seco 4. 1+ sin o

A: Prove the identity

Q: omplete or particular solution of the following differential equations

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: The force F has a magnitude of 420 N. Express F as a vector in terms of the unit vectors i and j.…

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Q: *?From the figure, determine R.L of Q from A al b h B a2 D S H1 H2 R. Lof Q = R.L of A +h+ H2O R.Lof…

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Q: F=20# A B I want to replace force F from point B to point A. I can do it by I want to replace force…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: 12. If z = x.f)+F). prove that az (i) x ax a² z +2xy ax. ay a2z +y2. =0 ay 2

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