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A disk with uniform density and radius 0.596 m used to weigh 24.48 kg, but then...
Imagine a spinning disk of uniform density, with mass M and radius R. Except where noted,...
Imagine a spinning disk of uniform density, with mass M and radius R. Except where noted, it is rotating about an axis through its center and perpendicular to its plane. What is its moment of inertia if the axis of rotation is moved to a line 2R from the center of the disk? (There’s no rotation of the axis, it remains parallel to its original position). Could someone explain what this question is asking in a diagram?
Problem 1 A 10 kg disk of radius R with a uniform mass density has a...
Problem 1
A 10 kg disk of radius R with a uniform mass density has a
square hole of side length s cut out of its
center. Suppose the disk radius R is 26 cm and the square side
length s is 6.5 cm.
1. Calculate the rotational inertia of the disk.
2. Draw a force diagram of the disk.
3. Write the force and torque equations that describe your
diagram.
4. Calculate the angular acceleration of the disk along...
Problem 3: A merry-go-round can be considered a uniform disk of mass 145 kg and radius...
Problem 3: A merry-go-round can be considered a uniform disk of mass 145 kg and radius 2.10 m free to rotate about a frictionless axis through its center. A 40.0 kg child stands at the edge and the system is initially rotating at 0.300 rad/sec. The child begins to walk around the edge of the merry-go-round with a velocity of 0.250 m/s relative to the ground in the direction of the rotation. What is the angular velocity of the merry-go-round...
3. A merry-go-round (uniform disk) of mass M = 125 kg and radius R = 1.5...
3. A merry-go-round (uniform disk) of mass M = 125 kg and radius R = 1.5 m is rotating initially wi = 12 rad/s. A person (we'll call the person a thin uniform rod) of mass m = 65 kg and height h= R initially stands over the rotation axis. The person decides to lie down with feet at the center and head at the outer edge (see figure). Since the person is a "thin rod', we can ignore the...
A crucial part of a piece of machinery starts as a flat uniform cylindrical disk of...
A crucial part of a piece of machinery starts as a flat uniform
cylindrical disk of radius R0 and mass M. It then
has a circular hole of radius R1 drilled into it, see the
figure.(Figure 1) The hole's center is a distance h from
the center of the disk.
1. Find the moment of inertia of this disk (with off-center
hole) when rotated about its center, C. [Hint: Consider a
solid disk and "subtract" the hole; use the parallel-axis...
A string is wrapped around a uniform disk of mass M = 2.2 kg and radius R = 0.1 m. (Recall that the moment of inertia of a uniform disk is (1/2) MR2.)
A string is wrapped around a uniform disk of mass M = 2.2 kg and radius R = 0.1 m. (Recall that the moment of inertia of a uniform disk is (1/2) MR2.) Attached to the disk are four low-mass rods of radius b = 0.13 m, each with a small mass m = 0.7 kg at the end. The device is initially at rest on a nearly frictionless surface. Then you pull the string with a constant force F...
A uniform disk with mass M and radius R is rotating about an axis through its center-of-mass.
A uniform disk with mass M and radius R is rotating about an axis through its center-of-mass. The axis is perpendicular to the disk. The moment of inertial for the disk with a central axis is I MR2. Two non-rotating smaller disks, each with mass M2 and radius R/4, are glued on the original disk as shown in the figure. (a) Show that the ratio of the moments of inertia is given by I'/I = 35/16, where I' is the moment...
6) A uniform 1kg disk with a radius of 1 m has a disk drilled out...
6) A uniform 1kg disk with a radius of 1 m has a disk drilled out creating a thick walled ring. A torque of 2Nmis applied causing the thick walled ring to rotate about its center . If the angular is acceleration of 6.4 rads/s^2, what is the radius of the hole placed in the center . Assume a uniform mass per area.
6) A uniform 1kg disk with a radius of 1 m has a disk drilled out...
6) A uniform 1kg disk with a radius of 1 m has a disk drilled out creating a thick walled ring. A torque of 2Nmis applied causing the thick walled ring to rotate about its center .If the angular is acceleration of 6.4 rads/s^2, what is the radius of the hole placed in the center . Assume a uniform mass per area.
A disk of mass m radius R, and area A has a su tace mass de sity Ơ(r - where r is the distance rr...
A disk of mass m radius R, and area A has a su tace mass de sity Ơ(r - where r is the distance rrom the center or the disk to a specific point on the disk see the follo ino rigure what is the moment or inertia or the disk about an axis through the center? Use AR the following as necessary: m and R.) Axis of rotation
A disk of mass m radius R, and area A has...
Problem 1
A 10 kg disk of radius R with a uniform mass density has a
square hole of side length s cut out of its
center. Suppose the disk radius R is 26 cm and the square side
length s is 6.5 cm.
1. Calculate the rotational inertia of the disk.
2. Draw a force diagram of the disk.
3. Write the force and torque equations that describe your
diagram.
4. Calculate the angular acceleration of the disk along...
Problem 3: A merry-go-round can be considered a uniform disk of mass 145 kg and radius 2.10 m free to rotate about a frictionless axis through its center. A 40.0 kg child stands at the edge and the system is initially rotating at 0.300 rad/sec. The child begins to walk around the edge of the merry-go-round with a velocity of 0.250 m/s relative to the ground in the direction of the rotation. What is the angular velocity of the merry-go-round...
3. A merry-go-round (uniform disk) of mass M = 125 kg and radius R = 1.5 m is rotating initially wi = 12 rad/s. A person (we'll call the person a thin uniform rod) of mass m = 65 kg and height h= R initially stands over the rotation axis. The person decides to lie down with feet at the center and head at the outer edge (see figure). Since the person is a "thin rod', we can ignore the...
A crucial part of a piece of machinery starts as a flat uniform
cylindrical disk of radius R0 and mass M. It then
has a circular hole of radius R1 drilled into it, see the
figure.(Figure 1) The hole's center is a distance h from
the center of the disk.
1. Find the moment of inertia of this disk (with off-center
hole) when rotated about its center, C. [Hint: Consider a
solid disk and "subtract" the hole; use the parallel-axis...
6) A uniform 1kg disk with a radius of 1 m has a disk drilled out creating a thick walled ring. A torque of 2Nmis applied causing the thick walled ring to rotate about its center . If the angular is acceleration of 6.4 rads/s^2, what is the radius of the hole placed in the center . Assume a uniform mass per area.
6) A uniform 1kg disk with a radius of 1 m has a disk drilled out creating a thick walled ring. A torque of 2Nmis applied causing the thick walled ring to rotate about its center .If the angular is acceleration of 6.4 rads/s^2, what is the radius of the hole placed in the center . Assume a uniform mass per area.
A disk of mass m radius R, and area A has a su tace mass de sity Ơ(r - where r is the distance rrom the center or the disk to a specific point on the disk see the follo ino rigure what is the moment or inertia or the disk about an axis through the center? Use AR the following as necessary: m and R.) Axis of rotation
A disk of mass m radius R, and area A has...
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