V T he moVament ofa lavtical of mas 15ka bY accalerating 3m/s/on an inclined PLane and The friction forCe was 5oN Find The tiltedngle of The Plane ?

Q: Find the work done by the force F = zi + xj+ yk in moving a particle along the curve x = t y = t²…

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Q: Q5. Consíder y = e+3 on [o,s]. Set up the surface area obtained by rotating The corve about y= 1 Ca)…

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Q: Find the work done by the force F = y2i + x3j, where force is measured in newtons, in moving an…

A: To determine the work done by the force.

Q: Answer only one of the following: 1. Write the tangential and normal components of acceleration for…

A: (2)

Q: 1. What is the differential for the total surface area of a frustum of a cone with l as the slant…

A: Given slant height l. Let r and R be the radii of the frustum. Let h be the height of the frustum.…

Q: For an area A in the x-y plane, in the expression I₂ = Ix+ly, the term /₂ is the: Minimum…

A: Introduction : As per definition, The polar amount of inertia is the total sum of the moment of…

Q: Q.1: Apply Gauss's Divergence theorem to evaluate double integration S (Ix^ 2 +my^ 2 +nz^ 2 )dS…

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Q: (a) The moment of inertia of a surface about the z axis is given by the formula I (le x2 + y? dS.…

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Q: Given a particle is moving ina curve r(t) = cos 6t i + sin 6t j+ 8t k. Find the normal component of…

A: Given the curve

Q: Q3. A- Use Greens theorem to evaluate the cireulation or flus for the velocity fiekd : S(x, y)=- *+y…

A: Given velocity field is  f(x,y)=1x+yi-1x+yj we have to find the flux for the boundary of square…

Q: H.w: Use the bisection method to determine the drag coefficient c needed for a parachutist of mass m…

A: It is provided that: f(c)=gmc1-e-cmt-40, m=68.1, t=10, g=9.81.

Q: ® Find the inde fim k integral wing the Substi tution =9 Sin@. Remember to ue adrolute valuts whire…

A: Given:

Q: Find the Cunature the torsion and the Frenet forcame at agenersL point on the carre Y = (t +Ces t) į…

A: We will use term by term differentiation and calculation of the modulus of vectors in this solution.

Q: 2. Calculate the curvature, unit binormal vector and torsion for r(t) (e'cost)i+(e'sint)j +5k

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Q: Q1 show thot the force F-ljz-6xz+2xy2) ij+(3xyz-6x²z)is cors.ervotive, hence find the Potenial fum…

A: According to our guidelines, we can answer only the first question or first three subparts of a…

Q: An object is moving along a horizontal line such that it's velocity is v(t) = 4'. %3D What is the…

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Q: sin z dz (z²–1) 2 where c = |Z – 1| =; valuate at oriented lockwise? (12 M)

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Q: Q5/ Find the moment of inertia about the x-axis of a thin plate of density 8 = 1 bounded by the…

A: Given: Density δ = 1Circle x2+y2 = 4

Q: A particle Q is moving along a position vector, r(t) stated as r(t) = (6 sin t)į + (6 cos t)j + 8tk…

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Q: The uniform rod weighs 420LBa and has its center of gravity at G. Determine the tension in the cable…

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Q: y. గ + = (8 K a 3x 2. ナS! pand functror by 人 1=+,x hq papunag region in the first guadrant Portion…

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Q: 8) Find the moment of inertia about the x-axis of a thin plate bounded by the parabola x = y - y?…

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Q: Evaluate (2z – z) dz, where C is parametrized by x = -t, y = t² + 2, 0<t< 2.

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Q: 2. Find the area of the surface generated by revolving the curve r = Vcos 20, 0s0 ST/4. about the y…

A: Surface area generated by revolving the curve 'r' about y-axis = 2π∫αβxr2+(drdθ)2 dθ

Q: Evaluate the cylindrical coordinate integral. бл 8 LL dzr dr de 4л 8

A: = ∫4π6π ∫48(9r-8r)rdrdz =∫4π6π(8-4)dz = 4(2π) = 8π

Q: What is the differential for the total surface area of a frustum of a cone with i as the slant…

A: The formula for total surface area of the frustum of the cone with the given slant height l is Total…

Q: Find the moment of inertia of the plane area generated by the equations y = 8x³, y = 0, and x = 1…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The total surface area S of a right circularcylinder is related to the base radius r and height h by…

A: We have to find dSdt related to drdt and dhdt where neither r nor h is constant and total surface…

Q: H.W: Find volume of box (parallelepiped) determined by u = i+j- 2k, v = -i - k and w = 2i+ 4 j - 2k

A: Solution:-

Q: Given the force fieid F, find the work required to move an object on the oriented curve. F= (y, z,…

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Q: The moment of inertia of a surface about the z axis is given by the formula I Sls x2 + y? dS. Find…

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Q: Evaluote the live integral | (xZ+ y) ds along the curve c defined byき)=くターも,スセt,-スモ> ON Osts I -21…

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Q: valuate the line integral J xev% ds where C is the line segment from > (1, 1, 1). This yields:

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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: Determine the moment of inertia of the area of the channel about the y axis. Set a = 8.5 in ., b =…

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Q: *Q. ( 12 ), p. 410 : Find the area of the surface generated by revolving eУ + е-У the curve x = 0…

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Q: The distance Cdlin meter of a moving body with respect to time (t) in hour is gruen in the below…

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Q: a. Find the equation of osculating plane to Z1 at t=0

A: A(0) = &lt; -2, 5, 4&gt;     ---(1)  B(t) = &lt; 3/5 cos t , 3/5 sin t , 4/5 &gt;    =&gt; B(0)  =…

Q: Find the work done Emovement by the force F and ends on the t =2 curve starts at at ř = (x-y) Î + C=…

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Q: Q, Solve he differnktial equntion by Laplace troms form. ý-y =t, yW=1, ý(0) =1

A: Note: According to Company Guidelines we are providing the answer of first question. Kindly post…

Q: When a fluid flows over a surface, the shear stress T (N/m²) at the surface is given by du T = H- dy…

A: Given : the shear stress τ N/m2 at the surface when a fluid flows over a surface is given by…

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

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Q: Compute the tangential and normal components and express the acceleration a in the form a= arT+aŋN…

A: Calculate the value for aT using the derivative.…

Q: Find the average x-coordinate of a point on the half-torus with the following parametrization (drawn…

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Q: Find the work done by the force F(r) = x2 +1 in moving a particle along the T-axis from r = 0 to r…

A: The work done by a variable force F(x) in moving a particle along the x-axis is given by the…

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

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