Consider a square plate at rest in the horizontal plane with mass m, sides of length 2L, and center of mass at point G (located at the center of the square). Two forces are applied to the plate: FA is applied at corner A with some angle relative to the edge of the plate, and FB is applied at point B parallel with the edge of the plate, as shown. The resulting motion is a pure acceleration (translation) to the right of magnitude a. The plate does not rotate. Determine the magnitude of the force applied at B, ||FB||. (Hint: Use Euler's 2nd Law about an arbitrary point (in this case about point A).

Consider a square plate at rest in the horizontal plane with mass m, sides of length 2L, and center of mass at point G (located at the center of the square). Two forces are applied to the plate: FA is applied at corner A with some angle relative to the edge of the plate, and FB is applied at point B parallel with the edge of the plate, as shown. The resulting motion is a pure acceleration (translation) to the right of magnitude a. The plate does not rotate. Determine the magnitude of the force applied at B, ||FB||. (Hint: Use Euler's 2nd Law about an arbitrary point (in this case about point A).

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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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

Consider a square plate at rest in the horizontal plane with mass m, sides of length 2L, and center
of mass at point G (located at the center of the square). Two forces are applied to the plate: FA
is applied at corner A with some angle o relative to the edge of the plate, and FB is applied at
point B parallel with the edge of the plate, as shown. The resulting motion is a pure acceleration
(translation) to the right of magnitude a. The plate does not rotate. Determine the magnitude of
the force applied at B, ||FB||. (Hint: Use Euler's 2nd Law about an arbitrary point (in this case about
point A).
FAS
2L
2L
F B
B
a

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