25 mm 25 mm 100 mm 25 mm -75 mm-- -75 mm- 30 mm 100 mm 25 mm

Q: Define parametrization.

A: Parameterization is the process of finding parametric equations…

Q: DETERMINE THE CENTROID IN X (? ") and THE MOMENT INERTIA IN (Iy) OF THE FOLLOWING FIGURE

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

Q: +4y= 16t (Laplace)

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Q: Find the moment/torque on a lever arm of length 0.25m, angled upward off of a horizontal surface at…

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Q: Find the unit vector in the direction in which f (x,y) =x+ sin(x + 2 ·y) increases most rapidly at…

A: Given: The given function is fx,y=x+sin(x+2y) at P(0,0).

Q: Find the arc length of the vector equation, r(t)=ti+8sintj+8costk for 0<t< 47.

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Q: Find the velocity and acceleration vectors in terms of u, and ug. de r= a sin 30 and =7t, where a is…

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Q: Find the moment of inertia: x = y +1; y = 1; y = 2; x = 0 about x-axis.

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Q: Ans. (5) Given position vector r(t) = (t₁ t - sint, 1- cast) ⇒ r (t) = ti + (t-sint) 3 + (1 - cost)…

A: Ans. (5) Given position vector

Q: (c) Differentiate y = Vsec3 (5t2)

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Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

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A: The question mentions a beam of length (L) fixed at one end and subjected to a point load (P) at a…

Q: A car travels over the hill having the shape of a parabola. When the car is at point A, it is…

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Q: 4. The position of a particle at time t is given by x(t) = 5+4 sin(t) y(t) = 2 − 4 cos(t) 0<t</ (a)…

A: This is a problem of parametric curve and Integration.

Q: Calculate the moments of inertia (Ix and Iy) of the shaded area given in the figure with respect to…

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Q: For the following fig 20 mm h 20 mm b = 80 mm; h = 90 mm b I - хо -20 mm b The moment of inertia of…

A: The moment of inertia, also known as rotational inertia, is a property of an object that measures…

Q: Find a unit vector in the direction in which f(x, y) = 6 cos(x – 5y) decreases most rapidly at P and…

A: Given, fx,y=6cosx-5y Find the unit vector and rate of change of f at P.

Q: Based on the shaded region shown in Figure 4a: (a) Determine the centroid of the shaded region.…

A: The complete solutions are given below

Q: A point moving a long a curve whose position vector is R(t)=(t sin t +cost)i+(sin t-t cost)j+4 k;…

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Q: An inverted truncated pyramid-shaped tank with square cross section shown in the figure below is 8 m…

A: Solution:

Q: Q/B) Find the length of the cardioid curve: r 1+ cose

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Q: A horizontal curve on a 6-lane highway has a superelevation of 4% and a central angle of 15. The…

A: For a vehicle moving at a speed of v, having reaction time t and f is the coefficient of friction,…

Q: Being r the position vector radius, solve d + 2 dr + T=0 dt?

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