For the area below, evaluate 1. The (x,y) coordinates of the centroid (please mark your origin or reference point on the diagram) 2. The 2nd moments and product of area in centroidal-based xy (horizontal-vertical) coordinates 3. The principal 2nd moments of area, and the direction of the first principal axis relative to the horizontal (x) axis (anticlockwise positive) 50 75 30 150 60 50 50 15 30 Figure 1: Cross section (all dimensions in mm) Quantity Xc (please mark your origin on the diagram) Yc (please mark your origin on the diagram) Ix Iy Ixy I₁ I2 a1 (please show the direction) Value Units

For the area below, evaluate 1. The (x,y) coordinates of the centroid (please mark your origin or reference point on the diagram) 2. The 2nd moments and product of area in centroidal-based xy (horizontal-vertical) coordinates 3. The principal 2nd moments of area, and the direction of the first principal axis relative to the horizontal (x) axis (anticlockwise positive) 50 75 30 150 60 50 50 15 30 Figure 1: Cross section (all dimensions in mm) Quantity Xc (please mark your origin on the diagram) Yc (please mark your origin on the diagram) Ix Iy Ixy I₁ I2 a1 (please show the direction) Value Units

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

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.38P: The equation of the catenary shown is y = 100 cosh (x/100) where x and y are measured in feet (the...

See similar textbooks

Similar questions

Using the Cartesian coordinate system, determine: - the absolute value of the distance y (in mm) from the bottom of the figure to the shaded area's centroidal location. - the absolute value of the distance x (in mm) from the rightmost part of the figure to the shaded area's centroidal location. - the absolute value of the first moment of the area (in mm3) about the indicated x-axis in the figure below.
" Locating the Centroid of an Area " Please locate the centroid of the shaded area ABC the radian is alpha=0.9273 radian and betha=0.6435 radian. the radius of the i thinks it's semi circle DAC is 300mm sorry if I'm wrong if it is not semicircle Thankyou!
Determine the x- and y-coordinates of the trapezoidal shape.
1- Determine the coordinates of the centroid of the shaded area. -200 mm 200 mm 150 mm 125 mm -60 mm 125 mm 2- Determine the y-coordinate of the centroid of the shaded area. 75 mm 45° 45° 100 mm 60 mm 90 mm | 60 mm
The composite shape in Question 5 consists of a (1) square, (2) isosceles triangle. The shape also has a hole in the form of (3) circle.a. Determine the x and y centroids of each shape based on the given axis.b. Determine the x and y centroids of the composite shape based on the given axis.c. Determine the first moment of area with respect to x axis of the composite shaped. Determine the first moment of area with respect to y axis of the composite shapee. Determine the polar moment of inertia of each shape with respect to the origin.f. Determine the polar moment of inertia of composite shape with respect to the origin.
16 - Find the center of gravity M (x,y,z) of the three-dimensional homogeneous ABCD wire in the figure by using the coordinate set. The dimensions of the wire are a= 24 cm, b= 36 cm. In which of the following options are the coordinates of the homogeneous wire in the x, y and z axes given correctly?A) (23.57 ; 11.43 ; 17.14)B) (23.57 ; 17.14 ; 11.43)C) (28.29 ; 13.71 ; 20.57)D) (20.61 ; 13.03 ; 9.08)E) (28.29 ; 20.57 ; 13.71)
Given the isometric drawing of the solid, draw the multiview projection. L HRP FRP L FRP PRP
Draw the third projection 2-Draw the isometric projection
what is the magnitude of the resultant in y- direction?
*Q2: Resolve the force (450) to its components along coordinates AC & AB (nun perpendicular coordinate) 45 450 Ib %23 %23
Q1: An aircraft has a hook is subject to four forces as shown in next figure. The direction of the 300 N force may be varied. a) Determine the direction of the 300 N force that make the resultant of the four forces is directed horizontally to the right (posative X-axis). b) Determine the magnitude of the resultant. 100N 150N 260N 300N Q2: Find the centroid of the next shaded area. Y=2.5 m Y A 3m
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.