A metal rod with a mass of 2.30 kg has one end resting on the floor. The other end is lifted up with a vertical rope, raising the rod to an angle of 30° above the horizontal. Find the amount of force needed to hold the rod in that position. (The weight of the rod is concentrated at its center of gravity. The length is not needed.) F 30°

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
Problem 33PQ: Problems 33 and 34 are paired. One end of a uniform beam that weighs 2.80 102 N is attached to a...
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A metal rod with a mass of 2.30 kg has one end resting on the floor. The other end is
lifted up with a vertical rope, raising the rod to an angle of 30° above the horizontal.
Find the amount of force needed to hold the rod in that position. (The weight of the rod
is concentrated at its center of gravity. The length is not needed.)
F
30°
Transcribed Image Text:A metal rod with a mass of 2.30 kg has one end resting on the floor. The other end is lifted up with a vertical rope, raising the rod to an angle of 30° above the horizontal. Find the amount of force needed to hold the rod in that position. (The weight of the rod is concentrated at its center of gravity. The length is not needed.) F 30°
FORMULAS
s= r0,
1= lever arm
T = FI, where
v = ro,
Torque: t = F(sin0)r
a = ra
Equilibrium: Στ-0
Non-equilibrium:
Στ= Ια
Moments of Inertia for Various Rigid Objects of uniform composition: Point
mass: I= MR2
Moments of Inertia for Various Rigid Objects of Uniform Composition
Hoop or thin
cylindrical shell
1= MR
Solid sphere
R
Solid cylinder
or disk
Thin spherical
shell
-MR
2
MR
1=-
2
Long, thin rod
with rotation axis
through center
I MI?
Long, thin
rod with
rotation axis
through end
ML?
= r®,
1= lever arm
v = ro,
a = ra
Torque: t = F(sin0)r
T = Fl, where
%3D
Equilibrium: Στ-0
Non-equilibrium:
Στ-Ια
Transcribed Image Text:FORMULAS s= r0, 1= lever arm T = FI, where v = ro, Torque: t = F(sin0)r a = ra Equilibrium: Στ-0 Non-equilibrium: Στ= Ια Moments of Inertia for Various Rigid Objects of uniform composition: Point mass: I= MR2 Moments of Inertia for Various Rigid Objects of Uniform Composition Hoop or thin cylindrical shell 1= MR Solid sphere R Solid cylinder or disk Thin spherical shell -MR 2 MR 1=- 2 Long, thin rod with rotation axis through center I MI? Long, thin rod with rotation axis through end ML? = r®, 1= lever arm v = ro, a = ra Torque: t = F(sin0)r T = Fl, where %3D Equilibrium: Στ-0 Non-equilibrium: Στ-Ια
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