Determine the moment of inertia about the x-axis and the polar radius of gyration about point O for the semicircular area shown. y Answers: lx = ko i Me 1.38r i B r

Q: dy dx

A: Since, a=-pi/4  b=pi/4 c=0 d=√8*sec(t)

Q: The area enclosed inside the polar curve r² = 14cos(20) is Select one: a. 28 O b. 14 O c. 14元 O d.…

A: The correct option is b. The area is 14 unit squared.Explanation:Kindly see attached photo for your…

Q: WIth the following locked polare curves in the plane: C1: r = 2 cos θ, C2: r = 2 sin(2θ) Find the…

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Q: Let r(t) = = 2t 1+12 1+12 Reparametrize by arclength, and use trigonometric identities to simplify…

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Q: Find the length of the spiraling polar curve r = 7e20 for 0 ≤ 0≤ 2π. Round the results places. The…

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Q: The second power of the distance from the inertia axis to an element of area is used to calculate…

A: Sol:- Correct option :-

Q: 1. Let C be a curve with a vector equation r(t) = (4 cos(t), -4 sin(t),-3t) where 0<t<÷. What is the…

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: 40 m/s 15° X

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Q: Find a spherical coordinate equation for the cone z= Vx2 +y?? Select one: a. 4 b. Non of them С. r…

A: Use the spherical coordinates for this cone as in next step.

Q: -x), with respect to OY. 4. The area bounded by the curve 2x+2x -y -2 0 and the line y=2x with…

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Q: The Parallel Axis Theorem: O Only applies to rectangular areas. Is used to convert rectangular…

A: The statement is:The parallel axis theorem.

Q: Solve for the moment of inertia about the x-axis for the shape in the pi

A: Consider the given figure, The total moment of inertia=moment of inertia for semicircle - moment of…

Q: dy dz - to polar coordinates and evaluate it (use t for 8): With a = and d = fo S, dy da = dr dt = .…

A: To find :∫08∫-xxdy dx using polar coordinates Here y varies from -x to x as x varies from 0 to 8. In…

Q: Use the following equations to answer the questions below: ⚫ Volume of a parametric curve revolved…

A: Here's the process of using the given formula to find the volume of a solid of revolution when a…

Q: Find a spherical coordinate equation for the cone Z =Vx² + y2? Select one: а. 4 b. TT 4 С. 4 d. Non…

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Q: Find the length of the spiraling polar curve r = 7e20 From 0 to 27. The length is

A: We have to solve given problem:

Q: Determine the y-coordinate of the centroid of the area under the sine curve shown. y Answer:y- Mi…

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Q: = 1 at the poin

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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: dy : Find for y = cot (4 – 2²). da

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Q: Change the following spherical coordinates to cylindrical coordinates (4, π/3, π/3).

A: We have to change the spherical coordinates (4 , π/3 , π/3) to cylindrical coordinates.

Q: Find the polar moment of inertia of the shaded area about the axis perpendicular to origin of the…

A: Answer is mentioned below