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Figure (a) shows a disk that can rotate about an axis at a radial distance h...
Figure (a) shows a disk that can rotate about an axis at a radial distance h...
Figure (a) shows a disk that can rotate about an axis at a radial distance h from the center of the disk. Figure (b) gives the rotational inertia I of the disk about the axis as a function of that distance h, from the center out to the edge of the disk. The scale on the I axis is set by I_A = 0.250 kg.m^2 and I_B = 0.750 kg.m^2. What is the mass of the disk? Number ____ Units...
Figure (a) shows a disk that can rotate about an axis at a radial distance h...
Figure (a) shows a disk that can rotate about an axis at a radial distance h from the center of the disk. Figure (b) gives the rotational inertia I of the disk about the axis as a function of that distance h, from the center out to the edge of the disk. The scale on the I axis is set by I_A = 0.020 kg middot m^2 and I_B = 0.620 kg middot m^2. What is the mass of the...
PART A PART B PART C Q14 (10 points): If the rotational inertia about an axis...
PART A
PART B
PART C
Q14 (10 points): If the rotational inertia about an axis through the midpoint of one end of the slab, axis 1 in the below figure, is 4.7x104 kg.m2, what is its rotational inertia about the axis through its center of mass, axis 2? Mass of the slab is 0.16 kg. (Hint: Use parallel-axis theorem.) Answer: I-3.26x I0 kgm2 a 2 cm -бст Q19 (10 points): A square slab of 0.4 m on each side...
Two disks are rotating about the same axis. Disk A has a moment of inertia of...
Two disks are rotating about the same axis. Disk A has a moment of inertia of 4.45 kg.m2 and an angular velocity of +4.87 rad/s. Disk B is rotating with an angular velocity of -7.28 rad/s. The two disks are then linked together without the orques, so that they rotate as a single unit with an angular velocity of -3.59 rad/s. The axis of rotation for this unit is the same as that for the separate disks. What is the...
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...
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...
Problem 7 A satellite consists two cylinders which can rotate relative to each other about the common axis of summetry. The rotation can be precisely controlled through a built-in motor. Both cyllind...
Problem 7 A satellite consists two cylinders which can rotate relative to each other about the common axis of summetry. The rotation can be precisely controlled through a built-in motor. Both cyllinders can be asuumed to be uniform; they have the same mass, m 10.0 kg, and the same radius 0.30 m. The top cylinder has attached to it two balls, each of which has mass 1.0kg and radius b 0.1 m. Each ball is fastened to the end of...
A sphere of radius R can rotate about a vertical axis on frictionless bearings (see figure...
A sphere of radius R can rotate about a vertical axis on frictionless bearings (see figure below). Let the rotational inertia of the sphere be Isphere. A massless cord passes around the equator of the sphere, over a pulley with rotational inertia I pulley and radius r, and is attached to a small object of mass m. There is no friction on the pulley's axle and the cord does not slip on the pulley. At t = 0, the mass...
A sphere of radius R can rotate about a vertical axis on frictionless bearings (see figure...
A sphere of radius R can rotate about a vertical axis on frictionless bearings (see figure below). Let the rotational inertia of the sphere be A massless cord passes around the equator of the sphere, over a pulley with rotational inertial and radius r, and is attached to a small object of mass m. There is no friction on the pulley's axle and the cord does not slip on the pulley. At 1 = 0, the mass m has speed...
A 139 kg horizontal platform is a uniform disk of radius 1.97 m and can rotate...
A 139 kg horizontal platform is a uniform disk of radius 1.97 m and can rotate about the vertical axis through its center. A 62.1 kg person stands on the platform at a distance of 1.09 m from the center, and a 25.9 kg dog sits on the platform near the person 1.39 m from the center. Find the moment of inertia of this system, consisting of the platform and its population, with respect to the axis moment of inertia...
Figure (a) shows a disk that can rotate about an axis at a radial distance h from the center of the disk. Figure (b) gives the rotational inertia I of the disk about the axis as a function of that distance h, from the center out to the edge of the disk. The scale on the I axis is set by I_A = 0.250 kg.m^2 and I_B = 0.750 kg.m^2. What is the mass of the disk? Number ____ Units...
Figure (a) shows a disk that can rotate about an axis at a radial distance h from the center of the disk. Figure (b) gives the rotational inertia I of the disk about the axis as a function of that distance h, from the center out to the edge of the disk. The scale on the I axis is set by I_A = 0.020 kg middot m^2 and I_B = 0.620 kg middot m^2. What is the mass of the...
PART A
PART B
PART C
Q14 (10 points): If the rotational inertia about an axis through the midpoint of one end of the slab, axis 1 in the below figure, is 4.7x104 kg.m2, what is its rotational inertia about the axis through its center of mass, axis 2? Mass of the slab is 0.16 kg. (Hint: Use parallel-axis theorem.) Answer: I-3.26x I0 kgm2 a 2 cm -бст Q19 (10 points): A square slab of 0.4 m on each side...
Two disks are rotating about the same axis. Disk A has a moment of inertia of 4.45 kg.m2 and an angular velocity of +4.87 rad/s. Disk B is rotating with an angular velocity of -7.28 rad/s. The two disks are then linked together without the orques, so that they rotate as a single unit with an angular velocity of -3.59 rad/s. The axis of rotation for this unit is the same as that for the separate disks. What is 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...
Problem 7 A satellite consists two cylinders which can rotate relative to each other about the common axis of summetry. The rotation can be precisely controlled through a built-in motor. Both cyllinders can be asuumed to be uniform; they have the same mass, m 10.0 kg, and the same radius 0.30 m. The top cylinder has attached to it two balls, each of which has mass 1.0kg and radius b 0.1 m. Each ball is fastened to the end of...
A sphere of radius R can rotate about a vertical axis on frictionless bearings (see figure below). Let the rotational inertia of the sphere be Isphere. A massless cord passes around the equator of the sphere, over a pulley with rotational inertia I pulley and radius r, and is attached to a small object of mass m. There is no friction on the pulley's axle and the cord does not slip on the pulley. At t = 0, the mass...
A sphere of radius R can rotate about a vertical axis on frictionless bearings (see figure below). Let the rotational inertia of the sphere be A massless cord passes around the equator of the sphere, over a pulley with rotational inertial and radius r, and is attached to a small object of mass m. There is no friction on the pulley's axle and the cord does not slip on the pulley. At 1 = 0, the mass m has speed...
A 139 kg horizontal platform is a uniform disk of radius 1.97 m and can rotate about the vertical axis through its center. A 62.1 kg person stands on the platform at a distance of 1.09 m from the center, and a 25.9 kg dog sits on the platform near the person 1.39 m from the center. Find the moment of inertia of this system, consisting of the platform and its population, with respect to the axis moment of inertia...
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