CDEFGH is plate with a circular hole in it and has a unit weight p (N/m²). It is attached on DE beam with weld. A crate has a weight of W (kN) at A is linked to the plate from C by the help of a cord. The surface under the crate has a coefficient of static friction 41 and the pulley has a coeficient of static friction l2. a) Find the center of the gravity of the CDEFGH plate according to O (given in grey color in the figure). • HCD is half circle centered at O. A full circle centered at O is removed from the plate. HOD line and EF line are vertical. b) What should be the minimum weight of the box at A in order to prevent the movement of the plate to downward. c) What are the support reactions at K. Note P=400 B Ł0.3 A H G 3m Co 3m F Im 20° D E K 4m

CDEFGH is plate with a circular hole in it and has a unit weight p (N/m²). It is attached on DE beam with weld. A crate has a weight of W (kN) at A is linked to the plate from C by the help of a cord. The surface under the crate has a coefficient of static friction 41 and the pulley has a coeficient of static friction l2. a) Find the center of the gravity of the CDEFGH plate according to O (given in grey color in the figure). • HCD is half circle centered at O. A full circle centered at O is removed from the plate. HOD line and EF line are vertical. b) What should be the minimum weight of the box at A in order to prevent the movement of the plate to downward. c) What are the support reactions at K. Note P=400 B Ł0.3 A H G 3m Co 3m F Im 20° D E K 4m

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

CDEFGH is plate with a circular hole in it and has a unit weight p (N/m2). It is attached on DE
beam with weld. A crate has a weight of W (kN) at A is linked to the plate from C by the help
of a cord. The surface under the crate has a coefficient of static friction µ, and the pulley has a
coeficient of static friction µ2.
a) Find the center of the gravity of the CDEFGH plate according to O (given in grey color in
the figure).
HCD is half circle centered at O.
• A full circle centered at O is removed from the plate.
• HOD line and EF line are vertical.
b) What should be the minimum weight of the box at A in order to prevent the movement of
the plate to downward.
c) What are the support reactions at K.
Note: P=400
B
0.3
A
H
G
Hi
3m
Co
3m
F
Im
20°
D
E
K
4m
6m

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