The device shown is used to straighten bowed decking boards just prior to final nailing to the joists. There is a lower bracket (not shown) at O which fixes the part OA to a joist, so that the pivot A may be considered fixed. For a given force P exerted perpendicular to the handle ABC as shown, determine the corresponding normal force N applied to the bent board near point B if the dimensions are r = 501 mm, s = 179 mm, a = 2.7° and B = 15°. Neglect friction ▪ | 0 0 P The moment of P about A is: Во α° The moment of F about A is: A B C Pk N.mm O s mm r mm Taking the postive x-axis as the direction from B towards A, the angle the force at B from the decking board into the device Fis: Fok N.mm As a result the relationship between the magnitude of the two forces is: F PN

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The device shown is used to straighten bowed decking boards just prior to final nailing to the joists. There is a lower bracket (not shown) at O which
fixes the part OA to a joist, so that the pivot A may be considered fixed. For a given force P exerted perpendicular to the handle ABC as shown,
determine the corresponding normal force N applied to the bent board near point B if the dimensions are r = 501 mm, s = 179 mm, a = 2.7° and
B = 15°. Neglect friction
O
O
O
0
P
The moment of P about A is:
The moment of F about A is:
α°
A
во
A
B
C
Pk N.mm
||||
0
Fik N.mm
0
s mm
Taking the postive x-axis as the direction from B towards A, the angle the force at B from the decking board into the device Fis:
r mm
As a result the relationship between the magnitude of the two forces is: F =
PN
Transcribed Image Text:The device shown is used to straighten bowed decking boards just prior to final nailing to the joists. There is a lower bracket (not shown) at O which fixes the part OA to a joist, so that the pivot A may be considered fixed. For a given force P exerted perpendicular to the handle ABC as shown, determine the corresponding normal force N applied to the bent board near point B if the dimensions are r = 501 mm, s = 179 mm, a = 2.7° and B = 15°. Neglect friction O O O 0 P The moment of P about A is: The moment of F about A is: α° A во A B C Pk N.mm |||| 0 Fik N.mm 0 s mm Taking the postive x-axis as the direction from B towards A, the angle the force at B from the decking board into the device Fis: r mm As a result the relationship between the magnitude of the two forces is: F = PN
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