Homework Answers
The disk shown above has radius 2.50m and mass of 10.0kg. It has an angular velocity...
The disk shown above has radius 2.50m and mass of 10.0kg. It has an angular velocity of 9.50 rad/s at t 0s about its center O, moving in the CounterClockwise direction. It also experiences a Clockwise angular acceleration of 1.00 rad/s2. a) What is the disk's moment of inertia? b) What Kinetic Energy does the disk possess at t-0.00s and at t-6.00s? c) How long does it take for the disk to stop rotating momentarily? d) What is the disks'...
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...
5. Disk A, of radius R1=10.0 cm and mass m1=5 kg is rotating about its axis...
5. Disk A, of radius R1=10.0 cm and mass m1=5
kg is rotating about its axis at a rate of 42.0 rpm. It is brought
in contact with another disk, B, of radius R2=15.0 cm and mass m2=6
kg at rest. Quickly, both disks start to rotate together at the
same rate. Both disks rotate on their shafts on low friction
bearings.
a) What is the energy of the first disk before contact?
b) What is the angular momentum of...
The lower disk in the figure has a mass of 440 ? and a radius of...
The lower disk in the figure has a mass of 440 ? and a radius of
3.5 ?? and is rotating at 180 ??? on a frictionless shaft of
negligible radius. The upper disk, which is initially not rotating,
has a mass of 270 ? abd a radius of 2.3 ??, and is dropped onto the
lower disk. Assume no friction between the shaft and the disks. a.
Determine their common rotation speed after the drop (in ???). b.
The...
Disk A, with n mass of 2. 0 kg and a radius of 90 cm, rotates...
Disk A, with n mass of 2. 0 kg and a radius of 90 cm, rotates clockwise about a frictionless vertical axle at 20 rev/g. Disk B, also 2.0 kg but with a radius of 20 cm, rotates counterclockwise about that same axle, but at a greater height than disk A, at 20 rev/s. Disk B slides down the axle until it lands on top of disk A, after which they rotate together. After the collision what is magnitude of...
Disk A, with a mass of 2.0 kg and a radius of 90 cm, rotates clockwise...
Disk A, with a mass of 2.0 kg and a radius of 90 cm, rotates clockwise about a frictionless vertical axle at 50 rev/s. Disk B, also 2.0 kg but with a radius of 80 cm , rotates counterclockwise about that same axle, but at a greater height than disk A, at 50 rev/s. Disk B slides down the axle until it lands on top of disk A, after which they rotate together. After the collision, what is magnitude of...
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...
The circular disk has a 200 mm radius and mass of 25 kg. The radius of...
The circular disk has a 200 mm radius and mass of 25 kg. The radius of gyration k about the center of gravity is 175mm. The inner radius of the disk is 75 mm. A steady force of T=30 Newtons is applied cord wrapped around the inner radius. 3. angle 0 17° to a at an Find: The angular acceleration of the disk, a) b) The acceleration of the mass centre G The friction force F from the ground acting...
Each of the disks in (Figure 3) has radius r. Each disk can rotate freely about the axis passing through the center...
Each of the disks in (Figure 3) has radius
r. Each disk can rotate freely about the axis passing
through the center of the disk perpendicular to the plane of the
figure, as shown. For which diagrams is the angular momentum
constant? In your calculations, use the information provided in the
diagrams.
Type the letters corresponding to the correct diagrams. For
instance, if you think that only diagrams A, B, and C answer the
question, type ABC.
1. (20 points) Two forces F and F, are exerted on a disk with radius R...
1. (20 points) Two forces F and F, are exerted on a disk with radius R = .5m and a mass M 5kg uniformly distributed F = 30N is exerted upwards and applied a distance R to the right of the disk's center. F = 60N is cxerted downwards and applied a distance R/2 to the left of the disk's center, R/2 E a) What is the aceleration of the center of mass and the angular acceleration around the center...
The disk shown above has radius 2.50m and mass of 10.0kg. It has an angular velocity of 9.50 rad/s at t 0s about its center O, moving in the CounterClockwise direction. It also experiences a Clockwise angular acceleration of 1.00 rad/s2. a) What is the disk's moment of inertia? b) What Kinetic Energy does the disk possess at t-0.00s and at t-6.00s? c) How long does it take for the disk to stop rotating momentarily? d) What is the disks'...
5. Disk A, of radius R1=10.0 cm and mass m1=5
kg is rotating about its axis at a rate of 42.0 rpm. It is brought
in contact with another disk, B, of radius R2=15.0 cm and mass m2=6
kg at rest. Quickly, both disks start to rotate together at the
same rate. Both disks rotate on their shafts on low friction
bearings.
a) What is the energy of the first disk before contact?
b) What is the angular momentum of...
The lower disk in the figure has a mass of 440 ? and a radius of
3.5 ?? and is rotating at 180 ??? on a frictionless shaft of
negligible radius. The upper disk, which is initially not rotating,
has a mass of 270 ? abd a radius of 2.3 ??, and is dropped onto the
lower disk. Assume no friction between the shaft and the disks. a.
Determine their common rotation speed after the drop (in ???). b.
The...
Disk A, with n mass of 2. 0 kg and a radius of 90 cm, rotates clockwise about a frictionless vertical axle at 20 rev/g. Disk B, also 2.0 kg but with a radius of 20 cm, rotates counterclockwise about that same axle, but at a greater height than disk A, at 20 rev/s. Disk B slides down the axle until it lands on top of disk A, after which they rotate together. After the collision what is magnitude of...
Disk A, with a mass of 2.0 kg and a radius of 90 cm, rotates clockwise about a frictionless vertical axle at 50 rev/s. Disk B, also 2.0 kg but with a radius of 80 cm , rotates counterclockwise about that same axle, but at a greater height than disk A, at 50 rev/s. Disk B slides down the axle until it lands on top of disk A, after which they rotate together. After the collision, what is magnitude of...
The circular disk has a 200 mm radius and mass of 25 kg. The radius of gyration k about the center of gravity is 175mm. The inner radius of the disk is 75 mm. A steady force of T=30 Newtons is applied cord wrapped around the inner radius. 3. angle 0 17° to a at an Find: The angular acceleration of the disk, a) b) The acceleration of the mass centre G The friction force F from the ground acting...
Each of the disks in (Figure 3) has radius
r. Each disk can rotate freely about the axis passing
through the center of the disk perpendicular to the plane of the
figure, as shown. For which diagrams is the angular momentum
constant? In your calculations, use the information provided in the
diagrams.
Type the letters corresponding to the correct diagrams. For
instance, if you think that only diagrams A, B, and C answer the
question, type ABC.
1. (20 points) Two forces F and F, are exerted on a disk with radius R = .5m and a mass M 5kg uniformly distributed F = 30N is exerted upwards and applied a distance R to the right of the disk's center. F = 60N is cxerted downwards and applied a distance R/2 to the left of the disk's center, R/2 E a) What is the aceleration of the center of mass and the angular acceleration around the center...
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