The plant in the picture has mass of 22 kg, and is hanging at a distance of 1.9 meters from the wall. The horizontal rod has mass of 9.5 kg. Assume that its weight is evenly distributed, therefore it can be treated as a single force at the center of mass. The rod is 2.6 meters long, and there is a cable at a 23° angle supporting it at the end.

Physics for Scientists and Engineers: Foundations and Connections
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Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
Problem 31PQ: A wooden door 2.1 m high and 0.90 m wide is hung by two hinges 1.8 m apart. The lower hinge is 15 cm...
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Ex
The plant in the picture has mass of 22 kg,
and is hanging at a distance of 1.9 meters
from the wall. The horizontal rod has mass of
9.5 kg. Assume that its weight is evenly
distributed, therefore it can be treated as a
single force at the center of mass. The rod is
2.6 meters long, and there is a cable at a 23°
angle supporting it at the end.
Using the wall as the axis of rotation, find the
magnitude of the downward torque, from
both the weight of the rod and the weight of
the plant.
T =
N•m
Transcribed Image Text:Fy Ex The plant in the picture has mass of 22 kg, and is hanging at a distance of 1.9 meters from the wall. The horizontal rod has mass of 9.5 kg. Assume that its weight is evenly distributed, therefore it can be treated as a single force at the center of mass. The rod is 2.6 meters long, and there is a cable at a 23° angle supporting it at the end. Using the wall as the axis of rotation, find the magnitude of the downward torque, from both the weight of the rod and the weight of the plant. T = N•m
The downward torque is balanced by the
upward torque from the force of tension. Find
the magnitude of the force of tension.
T =
F is the contact force between the rod and
the wall. Using the other horizontal force in
the problem, find the horizontal component
of F (the normal force) that must be present
for the rod to be at equilibrium.
F.
There is a vertical force from a component of
the tension, but this is not enough to balance
the donward forces. Find the vertical force
that must be present for the wall to keep the
rod up.
F,
N
Transcribed Image Text:The downward torque is balanced by the upward torque from the force of tension. Find the magnitude of the force of tension. T = F is the contact force between the rod and the wall. Using the other horizontal force in the problem, find the horizontal component of F (the normal force) that must be present for the rod to be at equilibrium. F. There is a vertical force from a component of the tension, but this is not enough to balance the donward forces. Find the vertical force that must be present for the wall to keep the rod up. F, N
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