A yoyo is made of two wooden disks connected by a central axel as shown below. A string is wound around the axel so that when the yoyo is released, it unwinds while moving downward. Suppose the yoyo is released from rest and allowed to fall 5.00 meters. What will be its linear velocity at its lowest point? Mass of each disk, ma = 100 grams (1 kg – 1000 grams) Radius of each disk Rd= 3.00 cm (1 m = Radius of axel Ra = 5.00 mm (1 m= 1000 mm) Mass of axel is negligible. - 100 cm)

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A yoyo is made of two wooden disks connected by a central axel as shown below.
A string is wound around the axel so that when the yoyo is released, it unwinds
while moving downward. Suppose the yoyo is released from rest and allowed to
fall 5.00 meters. What will be its linear velocity at its lowest point?
Mass of each disk, ma = 100 grams (1 kg – 1000 grams)
Radius of each disk Rd = 3.00 cm (1 m = 100 cm)
1000 mm)
Radius of axel Ra
Mass of axel is negligible.
= 5.00 mm (1 m =
Transcribed Image Text:A yoyo is made of two wooden disks connected by a central axel as shown below. A string is wound around the axel so that when the yoyo is released, it unwinds while moving downward. Suppose the yoyo is released from rest and allowed to fall 5.00 meters. What will be its linear velocity at its lowest point? Mass of each disk, ma = 100 grams (1 kg – 1000 grams) Radius of each disk Rd = 3.00 cm (1 m = 100 cm) 1000 mm) Radius of axel Ra Mass of axel is negligible. = 5.00 mm (1 m =
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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