Question

What if a solid cylinder of mass M = 3.50 kg, radius R = 2.18 cm, and length L = 2.7 cm, is rolling down from rest instead? With h = 47.60 m and x = 4.64 m, what is the center of mass velocity when the cylinder reaches the bottom?

Answer #1

In the figure below, a solid cylinder of radius 14 cm and mass
17 kg starts from rest and rolls without slipping a distance
L = 6.0 m down a roof that is inclined at angle θ
= 30°.
(a) What is the angular speed of the cylinder about its center
as it leaves the roof?

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?

Rotation (rolling without slipping)
Two cylinders with a radius r=0.650 m are rolled without slipping
down an incline that descends a vertical distance of 2.45 meters.
Each cylinder has equal mass m=3/68 kg, but one is solid and the
other is a hollow shell.
A) What is the center of mass velocity of the solid cylinder at the
bottom of the incline?
B) What is the center of mass velocity of the hollow cylinder at
the bottom of the incline?...

A solid cylinder with a mass of 60 kg and a radius of 40 cm is
rolling up a hill without slipping. If it has a velocity of 10 m/s
before it starts rolling up, what is its kinetic energy? What’s the
maximum height it can reach? (I=0.5mr2)

A small, solid cylinder with mass = 20 kg and radius = 0.10 m
starts from rest and rotates without friction about a fixed axis
through its center of mass. A string is wrapped around the
circumference of the cylinder and pulled using a constant force F.
The resulting angular acceleration of the cylinder is 5.0 rad/s2.
What's the angular velocity after 4.0 s, in radians per second?
(The moment of inertia of the cylinder is 1 half M R...

If a solid sphere (radius 11.0 cm) and a solid cylinder (radius
10.0 cm) of equal mass are released simultaneously and roll without
slipping down an inclined plane.
A)The sphere reaches the bottom first.
B) The cylinder reaches the bottom first.
C) They reach the bottom together.

A 2.8 kg solid cylinder (radius = 0.20 m , length = 0.50 m ) is
released from rest at the top of a ramp and allowed to roll without
slipping. The ramp is 0.80 m high and 5.0 m long.
A) When the cylinder reaches the bottom of the ramp, what is its
total kinetic energy?
B) When the cylinder reaches the bottom of the ramp, what is its
rotational kinetic energy?
C) When the cylinder reaches the bottom...

A cylinder, starting from rest, with a mass of 0.950 kg has a
radius of 5.00 cm.
a) Find the final tangential speed of a solid cylinder rolling
down a 4.0 m high incline
b) Calculate the speed of the cylinder it slid down a
frictionless incline without rolling.
c) Why are the speeds different?

A solid brass cylinder and a solid wood cylinder have the same
radius and mass (the wood cylinder is longer). Released together
from rest, they roll down an incline. (a) Which cylinder reaches
the bottom first, or do the tie? (b) The wood cylinder is then
shortened to match the length of the brass cylinder, and the brass
cylinder is drilled out along its long (central) axis to match the
mass of the wood cylinder. Which cylinder now wins the...

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