A ring of mass 2 M and radius 1 R rotates in a CCW direction with...
A ring of mass 2 M and radius 1 R rotates in a CCW direction
with initial angular speed 2 ω. A disk of mass 4 M and radius 1 R
rotates in a CW direction with initial angular speed 4 ω. The ring
and disk "collide" and eventually rotate together. Assume that
positive angular momentum and angular velocity values correspond to
rotation in the CCW direction.
What are the moments of inertia for the ring and disk? Write your
answer in terms of MR2.
Iring = M R2
Idisk = M R2
| Remember that I = beta*MR2. |
| Incorrect. | Tries 1/2 | Previous Tries |
What is the initial angular momentum for the ring? Write your
answer in terms of MR2ω.
MR2ω
| Tries 0/2 |
What is the initial angular momentum for the disk?
MR2ω
| Tries 0/2 |
What is the initial angular momentum Li(ring+disk) of
the system?
MR2ω
| Tries 0/2 |
What is the final angular velocity ωf of the ring+disk
system? Write your answer in terms of ω.
ω
Homework Answers
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A ring of mass 2 M and radius 1 R rotates in a CCW direction
with...
A ring (mass 4 M, radius 1 R) rotates in a CCW direction with an initial...
A ring (mass 4 M, radius 1 R) rotates in a CCW direction with an initial angular speed 2 ω. A disk (mass 4 M, radius 1 R) rotates in a CW direction with initial angular speed 4 ω. The ring and disk "collide" and eventually rotate together. Assume that positive angular momentum and angular velocity values correspond to rotation in the CCW direction. 1. What is the initial angular momentum Li of the ring+disk system? Write your answer in...
A ring (4 kg, r = 2 m) rotates in a CW direction with initial angular...
A ring (4 kg, r = 2 m) rotates in a CW direction with initial angular velocity 20 s-1. A disk (8 kg, r = 2 m) rotates in a CCW direction with initial angular velocity 60 s-1. The ring and disk "collide" and eventually rotate together. Assume that positive angular momentum and angular velocity values correspond to rotation in the CCW direction. What is the initial angular momentum Li of the ring+disk system? What is the final angular velocity...
A disk of mass 5 kg and radius 1 m is rotating with an angular velocity...
A disk of mass 5 kg and radius 1 m is rotating with an angular velocity of ?0 = 11 rad/s . A lump of clay of mass 3 kg is dropped onto the disk at a radius of 0.5 m , sticking to the disk. What is the final angular velocity of the disk? (Idisk = MR2/2 )
Consider a cylindrical turntable whose mass is M and radius is R, turning with an initial...
Consider a cylindrical turntable whose mass is M and radius is R, turning with an initial angular speed ω1. (a) A parakeet of mass m, after hovering in flight above the outer edge of the turntable, gently lands on it and stays in one place on it, as shown below. What is the angular speed of the turntable after the parakeet lands? (Use any variable or symbol stated above as necessary.) ωf = (b) Becoming dizzy, the parakeet jumps off...
(a) A ring (in y-z plane) of radius R, mass M, with uniform charge Q is...
(a) A ring (in y-z plane) of radius R, mass M, with uniform charge Q is rotated about its axis (x-axis) as shown. Derive an expression for the magnetic dipole momentů for this ring. Express ŭ in terms of the angular momentum, 1o , of the ring (standard form). (6) Using the result of part (a) write down an expression for the magnetic dipole moment of the ring shown in Fig (6) (the axis of this ring is în which...
Procedure 1. Measure the inside and outside radii of the ring, the radius of the disk, and the ma...
Procedure 1. Measure the inside and outside radii of the ring, the radius of the disk, and the masses of the ring and the disk, and record these values in Table 5. Table 5 Item Value Ring, inside radius (R1) 2.7 cm Ring, outside radius (R2) 3.8 cm Mass of ring (MR) Mass of Disk (MD) Radius of Disk (R) 470 g 120 g 4.7 cm 2. Place the disk firmly on the rotating system. Give it a spin using...
A turn table of with a diameter of 36.0 cm rotates in the ccw direction. The...
A turn table of with a diameter of 36.0 cm rotates in the ccw direction. The angular acceleration is +1.75 rad/s2. After 4.00 s it has rotated through an angle of 30.0 rad. a. What is the average angular velocity? b. What is the initial angular velocity of the turntable? c. What is the magnitude of the NET linear acceleration at the outer edge of the turntable, at the start of the 4.00 s time interval?
A solid disk of mass m = 9.2 kg and radius R = 0.2 m is...
A solid disk of mass m = 9.2 kg and radius R = 0.2 m is rotating with a constant angular velocity of w = 38 rad/s. A thin rectangular rod with mass m2 = 3.7 kg and length L = 2R = 0.4 m begins at rest above the disk and is dropped on the disk where it begins to spin with the disk. 1) What is the initial angular momentum of the rod and disk system? kg-m2/s Submit...
of mass m and radius R is freely rotating at angular velocityw,spinning clockwise The moment of...
of mass m and radius R is freely rotating at angular velocityw,spinning clockwise The moment of inertia of a disk is ImR2.) While it is rotating, someone when seen from above. ( ps a thin ring of mass m and also of radius R on top of it. When the ring lands, it is initially ot otating, but friction quickly causes it to rotate along with the disk, but the rotation of the disk slows down. a) What principle of...
A thin disk (radius R and mass M) attached to the top of a hollow cylinder (height & radius R and mass M) is wobbling while spinning. ←R-height-radius Derive an expression for the angular momentu...
A thin disk (radius R and mass M) attached to the top of a hollow cylinder (height & radius R and mass M) is wobbling while spinning. ←R-height-radius Derive an expression for the angular momentum L of the object lif its initial rotation vector ω ω|êut ω3ез. Assume that ω3 is large and nonzero, that ω! İs nonzero but small, and that ω2 is initially zero
A thin disk (radius R and mass M) attached to the top of a...
(a) A ring (in y-z plane) of radius R, mass M, with uniform charge Q is rotated about its axis (x-axis) as shown. Derive an expression for the magnetic dipole momentů for this ring. Express ŭ in terms of the angular momentum, 1o , of the ring (standard form). (6) Using the result of part (a) write down an expression for the magnetic dipole moment of the ring shown in Fig (6) (the axis of this ring is în which...
Procedure 1. Measure the inside and outside radii of the ring, the radius of the disk, and the masses of the ring and the disk, and record these values in Table 5. Table 5 Item Value Ring, inside radius (R1) 2.7 cm Ring, outside radius (R2) 3.8 cm Mass of ring (MR) Mass of Disk (MD) Radius of Disk (R) 470 g 120 g 4.7 cm 2. Place the disk firmly on the rotating system. Give it a spin using...
A solid disk of mass m = 9.2 kg and radius R = 0.2 m is rotating with a constant angular velocity of w = 38 rad/s. A thin rectangular rod with mass m2 = 3.7 kg and length L = 2R = 0.4 m begins at rest above the disk and is dropped on the disk where it begins to spin with the disk. 1) What is the initial angular momentum of the rod and disk system? kg-m2/s Submit...
of mass m and radius R is freely rotating at angular velocityw,spinning clockwise The moment of inertia of a disk is ImR2.) While it is rotating, someone when seen from above. ( ps a thin ring of mass m and also of radius R on top of it. When the ring lands, it is initially ot otating, but friction quickly causes it to rotate along with the disk, but the rotation of the disk slows down. a) What principle of...
A thin disk (radius R and mass M) attached to the top of a hollow cylinder (height & radius R and mass M) is wobbling while spinning. ←R-height-radius Derive an expression for the angular momentum L of the object lif its initial rotation vector ω ω|êut ω3ез. Assume that ω3 is large and nonzero, that ω! İs nonzero but small, and that ω2 is initially zero
A thin disk (radius R and mass M) attached to the top of a...
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