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BONT A 300-kg disk (with uniform density) is shown below. Its rotation axis is through its...
Show all work. Rate will be given. A 1.6 m long rod has mass 7.2 kg....
Show all work. Rate will be given.
A 1.6 m long rod has mass 7.2 kg. If the rotation axis is located at one end of the rod, then find its moment of inertia. 18. a. 6.567 kg.m2 7.454 kg·m 2 6.618 kg㎡ d. 6.350 kg.m2 e. 6.144 kg.m2 f. 5.210kg-m A 220 kg disk (with uniform density) is shown below. Its rotation axis is through its center. The applied force: and F2 are 27 N and 31_N, respectively. If...
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 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?...
A uniform solid disk of mass m = 3.08 kg and radius r = 0.200 m...
A uniform solid disk of mass m = 3.08 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?...
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...
Rotation Dynamics A uniform disk can rotate around its center like a merry-go-round. The disk has...
Rotation Dynamics A uniform disk can rotate around its center like a merry-go-round. The disk has a radius of 2.00 cm and a mass of 20.0 grams and is initially at rest. The angular acceleration is 200 rad/s2counterclockwise. If F1 has a magnitude of 0.100 N, what is the magnitude of F2? 9. Fo
A 50 kg solid disk (I = ½ mr2) with a radius of r starts from...
A 50 kg solid disk (I = ½ mr2) with a radius of r starts from rest and rotates about an axis through its center. It takes 30 rotations to reach an angular velocity of ω. Let ω = 24 rad/s Let r = 2.8 m Let θ = 32° What is the disk’s angular acceleration? (4 pts) How much time does it take to reach the final velocity? (4 pts) What is the net torque on the disk during...
1a. A cockroach of mass m lies on the rim of a uniform disk of mass...
1a. A cockroach of mass m lies on the rim of a uniform
disk of mass 9.00 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 0.456 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...
A uniform 2 kg solid disk of radius R = 0.4 m is free to rotate...
A uniform 2 kg solid disk of radius R = 0.4 m is free to rotate on a frictionless horizontal axle through its center. The disk is initially at rest, and then a 10 g bullet traveling at 590 m/s is fired into it as shown in the figure below. If the bullet embeds itself in the disk at a vertical distance of 0.2 m above the axle, what will be the angular velocity of the disk?
3. A disk 6.0cm in diameter and moment of inertia of 0.015kg-m’ initially at rest at...
3. A disk 6.0cm in diameter and moment of inertia of 0.015kg-m’ initially at rest at t = 0, is spun up to 720-rpm over 6.0s about an axis through its center of mass. Assume the angular acceleration is constant. a) Find the angular velocity (rad/s) at 6.0s b) Find the angular acceleration (rad/s) c) Find the number of revolutions the disk spins through during that interval. d) What is the mass of the disk? e) What is the change...
Show all work. Rate will be given.
A 1.6 m long rod has mass 7.2 kg. If the rotation axis is located at one end of the rod, then find its moment of inertia. 18. a. 6.567 kg.m2 7.454 kg·m 2 6.618 kg㎡ d. 6.350 kg.m2 e. 6.144 kg.m2 f. 5.210kg-m A 220 kg disk (with uniform density) is shown below. Its rotation axis is through its center. The applied force: and F2 are 27 N and 31_N, respectively. If...
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?...
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...
Rotation Dynamics A uniform disk can rotate around its center like a merry-go-round. The disk has a radius of 2.00 cm and a mass of 20.0 grams and is initially at rest. The angular acceleration is 200 rad/s2counterclockwise. If F1 has a magnitude of 0.100 N, what is the magnitude of F2? 9. Fo
1a. A cockroach of mass m lies on the rim of a uniform
disk of mass 9.00 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 0.456 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...
3. A disk 6.0cm in diameter and moment of inertia of 0.015kg-m’ initially at rest at t = 0, is spun up to 720-rpm over 6.0s about an axis through its center of mass. Assume the angular acceleration is constant. a) Find the angular velocity (rad/s) at 6.0s b) Find the angular acceleration (rad/s) c) Find the number of revolutions the disk spins through during that interval. d) What is the mass of the disk? e) What is the change...
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