8) 8. A picture hanger, 2 cm in length and of negligible mass, is mounted to the wall by a nail that exerts both a horizontal and a vertical force to keep it in place. A picture hanging on it will pull the bottom of the hanger at an angle of 10" relative to the vertical, meaning the top of the hanger will push against the wall, resulting in a normal force pushing horizontally at the hanger's top. If one wants to have the vertical and horizontal component of the force exerted by the nail be equal in magnitude, how far below the top of the hanger should it be nailed in? FVET : O Fv NET 2 сm 2-Xcm T Ty 10 TN= Tsinlo Tv= Tcos 10 FN+ Tsino = ToosIo FNET = 0 NEED

College Physics
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Chapter9: Statics And Torque
Section: Chapter Questions
Problem 6PE: Suppose a horse leans against a wall as in Figure 9.31. Calculate the force exerted on the wall...
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8)
8. A picture hanger, 2 cm in length and of negligible mass, is mounted to the wall by a
nail that exerts both a horizontal and a vertical force to keep it in place. A picture
hanging on it will pull the bottom of the hanger at an angle of 10" relative to the
vertical, meaning the top of the hanger will push against the wall, resulting in a
normal force pushing horizontally at the hanger's top. If one wants to have the
vertical and horizontal component of the force exerted by the nail be equal in
magnitude, how far below the top of the hanger should it be nailed in?
FAET
Fy
NET
2 сm
2-Xcm
ma
...
\T
Ty 10
IN= Tsinlo
Ty= Tcos lo
%3D
FN+ Tsino
ToosIo
FNET
> NEED
INET O
Transcribed Image Text:8) 8. A picture hanger, 2 cm in length and of negligible mass, is mounted to the wall by a nail that exerts both a horizontal and a vertical force to keep it in place. A picture hanging on it will pull the bottom of the hanger at an angle of 10" relative to the vertical, meaning the top of the hanger will push against the wall, resulting in a normal force pushing horizontally at the hanger's top. If one wants to have the vertical and horizontal component of the force exerted by the nail be equal in magnitude, how far below the top of the hanger should it be nailed in? FAET Fy NET 2 сm 2-Xcm ma ... \T Ty 10 IN= Tsinlo Ty= Tcos lo %3D FN+ Tsino ToosIo FNET > NEED INET O
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