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5. A uniform disk (1- MR) of rad A hole is cut...
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...
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...
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?
E17. A uniform disk with a mass of 7 kg and a radius of 0.4 m is rotating with a rotational veloc...
E17. A uniform disk with a mass of 7 kg and a radius of 0.4 m is rotating with a rotational velocity of 15 rad/s. a. What is the rotational inertia of the disk? (See fig. 8.15.) b. What is the angular momentum of the disk?
E17. A uniform disk with a mass of 7 kg and a radius of 0.4 m is rotating with a rotational velocity of 15 rad/s. a. What is the rotational inertia of the disk?...
A computer disk drive is turned on starting from rest and has constant angular acceleration. - If...
A computer disk drive is turned on starting from rest and has constant angular acceleration. - If it took 0.830 s for the drive to make its second complete revolution, how long did it take to make the first complete revolution? - What is its angular acceleration, in rad/s2? A uniform, solid disk with mass m and radius R is pivoted about a horizontal axis through its center. A small object of the same mass m is glued to the...
Results given on page 300 TABLE 12.2 Moments of inertia of objects with uniform density Object...
Results given on page 300 TABLE 12.2 Moments of inertia of objects with uniform density Object and axis Picture Object and axis Picture Thin rod, about center MCylinder or disk, MR 2 about center Thin rod about end ML Cylindrical hoop, MR2 about center Plane or slab, about center Маг | Solid sphere, about RMR2 diameter Plane or slab, about edge 1Ma2 I spherical shell, about diameter MR2 5. Again, use the table of integration results on page 300 of...
A uniform disk of radius 0.455 m0.455 m and unknown mass is constrained to rotate about...
A uniform disk of radius 0.455 m0.455 m and unknown mass is
constrained to rotate about a perpendicular axis through its
center. A ring with the same mass as the disk is attached around
the disk's rim. A tangential force of 0.237 N0.237 N applied at the
rim causes an angular acceleration of 0.129 rad/s2.0.129 rad/s2.
Find the mass of the disk.Why is this wrong?
A uniform disk of radius 0.455 m and unknown mass is constrained to rotate about...
An object is formed by attaching a uniform, thin rod with a mass of mr =...
An object is formed by attaching a uniform, thin rod with a mass of mr = 7.31 kg and length L = 5.68 m to a uniform sphere with mass ms = 36.55 kg and radius R = 1.42 m. Note ms = 5mr and L = 4R. *What is the moment of inertia of the object about an axis at the left end of the rod? *If the object is fixed at the left end of the rod, what...
A uniform solid disk of mass m = 3.06 kg and radius r = 0.200 m...
A uniform solid disk of mass m = 3.06 kg and radius r = 0.200 m rotates about a fixed axis perpendicular to its face with angular frequency 6.09 rad/s. (a) Calculate the magnitude of the angular momentum of the disk when the axis of rotation passes through its center of mass. kg · m2/s (b) What is the magnitude of the angular momentum when the axis of rotation passes through a point midway between the center and the rim?...
4. b. Refer to the drawing here. A solid, uniform disk has a mass of M...
4. b. Refer to the drawing here. A solid, uniform disk has a mass of M and outer radius R A heavy metal bolt of mass m is attached to the disk at a point that is located a distance r from the disk's center. (overhead view) R: The bolt and the disk center lie along one diameter across the disk. Consider a second diameter that is perpendicular to the one containing the bolt; and let point P be located...
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...
E17. A uniform disk with a mass of 7 kg and a radius of 0.4 m is rotating with a rotational velocity of 15 rad/s. a. What is the rotational inertia of the disk? (See fig. 8.15.) b. What is the angular momentum of the disk?
E17. A uniform disk with a mass of 7 kg and a radius of 0.4 m is rotating with a rotational velocity of 15 rad/s. a. What is the rotational inertia of the disk?...
Results given on page 300 TABLE 12.2 Moments of inertia of objects with uniform density Object and axis Picture Object and axis Picture Thin rod, about center MCylinder or disk, MR 2 about center Thin rod about end ML Cylindrical hoop, MR2 about center Plane or slab, about center Маг | Solid sphere, about RMR2 diameter Plane or slab, about edge 1Ma2 I spherical shell, about diameter MR2 5. Again, use the table of integration results on page 300 of...
A uniform disk of radius 0.455 m0.455 m and unknown mass is
constrained to rotate about a perpendicular axis through its
center. A ring with the same mass as the disk is attached around
the disk's rim. A tangential force of 0.237 N0.237 N applied at the
rim causes an angular acceleration of 0.129 rad/s2.0.129 rad/s2.
Find the mass of the disk.Why is this wrong?
A uniform disk of radius 0.455 m and unknown mass is constrained to rotate about...
A uniform solid disk of mass m = 3.06 kg and radius r = 0.200 m rotates about a fixed axis perpendicular to its face with angular frequency 6.09 rad/s. (a) Calculate the magnitude of the angular momentum of the disk when the axis of rotation passes through its center of mass. kg · m2/s (b) What is the magnitude of the angular momentum when the axis of rotation passes through a point midway between the center and the rim?...
4. b. Refer to the drawing here. A solid, uniform disk has a mass of M and outer radius R A heavy metal bolt of mass m is attached to the disk at a point that is located a distance r from the disk's center. (overhead view) R: The bolt and the disk center lie along one diameter across the disk. Consider a second diameter that is perpendicular to the one containing the bolt; and let point P be located...
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