Compute the coordinates of the centroid (x, y) of the areashown.yy = a√√√bxXBY NC SA2016 Eric DavishahlValues for dimensions on the figure are given in the followingtable. Note the figure may not be to scale.Variable Valueα4.5 inb1.6 in 1 (Note the -1 exponent only applies tothe unit, not the number.)с6 inThe coordinate of the centroid is =4☑ in.The y coordinate of the centroid is y =11.4☑ in.

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Answered: Compute the coordinates of the centroid…

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.43P

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Similar questions

A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance measured along the beam; [x]=[L] y = displacement of the beam; [y]=[L] = circular frequency of vibration; []=[T1] = mass of the beam per unit length; []=[ML1] D = bending rigidity of beam; [D]=[FL2] Show that the equation is dimensionally homogeneous. Note that [F]=[MLT2] see Eq. (1.21:).
The equation of the catenary shown is y = 100 cosh (x/100) where x and y are measured in feet (the catenary is the shape of a cable suspended between two points). Locate the y-coordinate 0f the centroid of the catenary by numerical integration using x=25ft.
Figure (a) shows the cross section of a column that uses a structural shape known as W867 (wide-flange beam, nominally 8 in. deep, weighing 67 lb/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following cross-sectional properties: A=19.7in.2,Ix=272in.4, and Iy=88.6in.4. Determine the dimensions of the rectangle in Fig. (b) that has the same Ix and Iy as a W867 section.
Given that P=120lb and Q=130lb, find the rectangular representation of P+Q.
When a force F acts on a linear spring, the elongation x of the spring is given by F = kx, where k is called the stiffness of the spring. Determine the dimension of k in terms of the base dimensions of an absolute [MLT] system of units.
Given r=4i6j+2km (position vector) F=20i+40j30kN (force vector) =0.8j+0.6k (dimensionless unit vector) compute (a) rF; and (b) rF.
The position coordinate x of a particle is determined by its velocity v and the elapsed time t as follows: (a) x=At2Bvt; and (b) x=AvteBt. Determine the dimensions of constants A and B in each case, assuming the expressions to be dimensionally correct.
Find the volume of the following: a. 5 cube b. 10 of 8 pipe
Use numerical integration to compute the product of inertia of the region show with respect to the x- and y-axes.
Resolve A=3i+5j4k in. into two vector components-one parallel to and the other perpendicular to B=6i+2k in. Express each of your answers as a magnitude multiplied by a unit vector.
It can be show that a plane area may he represented by a vector A=A, where A is the area and represents a unit vector normal to the piano: of the area. Show that the area vector of the parallelogram formed by the vectors a and b shown in the figure is A=ab.
Compute the dimensions of the rectangle shown in Fig. (b) that has the same kx and ky as the W867 section in Fig. (a). (See Prob. 9.13 for properties of W867. ) Problems 9.15â€”9.29 are to be solved using the method of composite areas.

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