Question

A uniform disk with mass m = 9.11 kg and radius R = 1.37 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk:

1) a force 319 N at the edge of the disk on the +x-axis, 2) a force 319 N at the edge of the disk on the –y-axis, and 3) a force 319 N acts at the edge of the disk at an angle θ = 32° above the –x-axis.

Q1)What is the magnitude of the angular acceleration about the z axis of the disk?

Q2)If the disk starts from rest, what is the rotational energy of the disk after the forces have been applied for t = 1.5 s?

Answer #1

A uniform disk with mass m = 9.07 kg and radius R = 1.36 m lies
in the x-y plane and centered at the origin. Three forces act in
the +y-direction on the disk: 1) a force 313 N at the edge of the
disk on the +x-axis, 2) a force 313 N at the edge of the disk on
the –y-axis, and 3) a force 313 N acts at the edge of the disk at
an angle θ =...

QUESTION 27
A uniform disk of radius 0.40 m and mass 31.0 kg rolls on a
plane without slipping with angular speed 3.0 rad/s. The rotational
kinetic energy of the disk is __________. The moment of inertia of
the disk is given by 0.5MR2.

A solid uniform disk of mass M = 9.6 kg and radius R = 21 cm
rests with its flat surface on a frictionless table (i.e., the axis
of the cylinder is perpendicular to the table.) The diagram shows a
top view. A string is wrapped around the rim of the disk and a
constant force of F = 10.8 N is applied to the string. The string
does not slip on the rim.
1)
What is the acceleration of...

A flat uniform circular disk (radius = 3.00 m, mass = 1.00 ✕ 102
kg) is initially stationary. The disk is free to rotate in the
horizontal plane about a frictionless axis perpendicular to the
center of the disk. A 50.0 kg person, standing 1.75 m from the
axis, begins to run on the disk in a circular path and has a
tangential speed of 2.60 m/s relative to the ground. Find the
resulting angular speed of the disk (in...

A flat uniform circular disk (radius = 5.44 m, mass = 320 kg) is
initially stationary. The disk is free to rotate in the horizontal
plane about a frictionless axis perpendicular to the center of the
disk. A 66.4-kg person, standing 2.40 m from the axis, begins to
run on the disk in a circular path and has a tangential speed of
2.97 m/s relative to the ground. Find the magnitude of the
resulting angular speed (in rad/s) of the...

A uniform disk of radius 0.529 m and unknown mass is constrained
to rotate about a perpendicular axis through its center. A ring
with same mass as the disk\'s is attached around the disk\'s rim. A
tangential force of 0.223 N applied at the rim causes an angular
acceleration of 0.103 rad/s2. Find the mass of the disk.

Point Pis on the rim of a large
Spinning Disk of mass 10.0 kg and radius 2.58 m.
At time t=0.00 s the disk has an angular velocity of 4.00 rad/s and
rotates counterclockwise about its center O, and
Pis on the x-axis. A net applied CW torque of 20.0
m-N causes the wheel to undergo a uniform angular acceleration. The
magnitude of the total acceleration (m/s2) at point
Pwhen t = 15.0 s is? The angular velocity of the...

A cockroach of mass m lies on the rim of a uniform disk of
mass 6.00m that can rotate freely about its center like a
merry-go-round. Initially the cockroach and disk rotate together
with an angular velocity of 0.210 rad/s. Then the cockroach walks
half way to the center of the disk.
(a) What then is the angular velocity of the cockroach-disk
system?
_____________rad/s
(b) What is the ratio K/K0 of the new
kinetic energy of the system to its...

A cockroach of mass m lies on the rim of a uniform disk of mass
3.00 m that can rotate freely about its center like a
merry-go-round. Initially the cockroach and disk rotate together
with an angular velocity of 0.466 rad/s. Then the cockroach walks
halfway to the center of the disk. (a) What then is the angular
velocity of the cockroach-disk system? (b) What is the ratio K/K0
of the new kinetic energy of the system to its initial...

A uniform disc of mass M=2.0 kg and radius R=0.45 m rolls
without slipping down an inclined plane of length L=40 m and slope
of 30°. The disk starts from rest at the top of the incline. Find
the angular velocity at the bottom of the incline.

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