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A solid cylinder starts rolling without slipping from
the top of an inclined plane. The cylinder starts moving from rest
at a vertical height 10m. The mass of the cylinder is 1kg and its
radius is .5m. The moment of inertia of the cylinder is 1/2
mr2 (where m is the mass of the cylinder and r is its
radius).
What is the speed of the center of mass of the
cylinder when its vertical height is 4 mm ?...

A solid cylinder starts rolling without slipping from the top of
an inclined plane. The cylinder starts moving from rest at a
vertical height 10m. The mass of the cylinder is 1kg and its radius
is .5m. The moment of inertia of the cylinder is 1/2 mr2
(where m is the mass of the cylinder and r is its radius).
1.What is the speed of the center of mass of the cylinder when
its vertical height is 5 mm ?...

In the figure, a solid cylinder of radius 5.3 cm and mass 17 kg
starts from rest and rolls without slipping a distance L = 7.6 m
down a roof that is inclined at angle θ = 22°. (a) What is the
angular speed of the cylinder about its center as it leaves the
roof? (b) The roof's edge is at height H = 3.8 m. How far
horizontally from the roof's edge does the cylinder hit the level
ground?

In the figure, a solid cylinder of radius 24 cm and mass 16 kg
starts from rest and rolls without slipping a distance L =
7.9 m down a roof that is inclined at angle θ = 38°.
(a) What is the angular speed of the cylinder
about its center as it leaves the roof? (b) The
roof's edge is at height H = 4.3 m. How far horizontally
from the roof's edge does the cylinder hit the level ground?

A solid cylinder starts rolling without slipping from the top of
an inclined plane. The cylinder starts moving from rest at a
vertical height 10m. The mass of the cylinder is 1kg and its radius
is .5m. The moment of inertia of the cylinder is 1/2 mr2
(where m is the mass of the cylinder and r is its radius).
C.What is the rotational kinetic energy of the cylinder when its
vertical height is 3 m?
D.What is the translational...

A uniform solid disk of mass 2.20 kg and diameter 50.0 cm starts
from rest and rolls without slipping down a 30.0 ? incline that is
5.25 m long. g = 9.81 m/s2 .
(a) Calculate the linear speed of the center of the disk when it
reaches the bottom of the incline.
(b) Determine the angular speed of the disk about its center at
the bottom of the incline.
(c) Through what angle (in radians) does this disk turn...

A uniform, solid disk of mass M=4 kg and radius R=2 m, starts
from rest at a height of h=10.00 m and rolls down a 30 degree slope
as shown in the figure.
a) Derive the moment of inertia of the disk.
b) What is the linear speed of the ball when it leaves the
incline? Assume the ball rolls without slipping.

A sphere of radius r0 = 23.0 cm and mass m = 1.20kg starts from
rest and rolls without slipping down a 35.0 ∘ incline that is 13.0
m long.
A. Calculate its translational speed when it reaches the
bottom.
B. Calculate its rotational speed when it reaches the
bottom.
C. What is the ratio of translational to rotational kinetic
energy at the bottom?

A uniform solid disk of mass 3.60 kg and diameter 45.0 cm starts
from rest and rolls without slipping down a 39.0 ? incline that is
6.25 m long. g = 9.81 m/s2 .
(a) Calculate the linear speed of the center of the disk when it
reaches the bottom of the incline.
b) Determine the angular speed of the disk about its center at
the bottom of the incline.
c) Through what angle (in radians) does this disk turn as...

A solid cylinder of radius 0.35 m is released from rest at a
height of 1.8 m and rolls down an incline without slipping. What is
the angular speed of the cylinder when it reaches the bottom of the
incline? (Icylinder = 1 2mr2)

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