Question

a
solid disk of mass M and radius R is rotating on the vertical axle
with angular speed. another disk of mass M/2 and radius R initially
not rotating falls coaxially on the disk and sticks. the rotational
velicity of this system after collision is

Answer #1

Solid disk of mass M

The radius of the disk R

Rotating with angular speed w1

Then the moment of inertia of the disk about an axis

I1=( MR^2)/2

Now the angular momentum of the system will be p1

P1 = I1* w1

P 1= (MR^2)w1/2 ..........(1)

Now another disk having mass M/2

Coaxially placed on previous disk having mass M

Now the total mass of the system will be M'

M' = M + M/2

M' = 3M/2

Then the moment of inertia of the system will be I2

Now the momentum will be

P2 = l2 w2

Now by the conservation of the momentum

P1 = P2

This is the rotational velocity after collision

A uniform disk of mass M and radius R is initially rotating
freely about its central axis with an angular speed of ω, and a
piece of clay of mass m is thrown toward the rim of the disk with a
velocity v, tangent to the rim of the disk as shown. The clay
sticks to the rim of the disk, and the disk stops rotating.
33. What is the magnitude of the total angular momentum of the
clay-disk system...

A turntable has a radius R and mass M (considered as a disk) and
is rotating at an angular velocity w0 about a frictionless vertical
axis. A piece of clay is tossed onto the turntable and sticks d
from the rotational axis. The clay hits with horizontal velocity
component vc at right angle to the turntable’s radius, and in a
direction that opposes the rotation. After the clay lands, the
turntable has slowed to angular velocity w1. A) Find the...

A playground ride consists of a disk of mass M = 59 kg
and radius R = 1.9 m mounted on a low-friction axle. A
child of mass m = 18 kg runs at speed v = 2.2 m/s
on a line tangential to the disk and jumps onto the outer edge of
the disk.
(b) Relative to the axle, what was the magnitude of the angular
momentum of the child before the collision?
L|C| =
(c) Relative to the...

A solid disk of mass m1 = 9.8 kg and radius R = 0.25 m is
rotating with a constant angular velocity of ω = 30 rad/s. A thin
rectangular rod with mass m2 = 3.9 kg and length L = 2R = 0.5 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?
2)What is the...

A solid disk of mass m1 = 9.5 kg and radius R = 0.19
m is rotating with a constant angular velocity of ω = 30 rad/s. A
thin rectangular rod with mass m2 = 3.3 kg and length L
= 2R = 0.38 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?
2) What...

You look down on a spinning disk with mass M and radius R.
recall a disk has moment of inertial (1/2)MR^2. The disk is
spinning on a frictionlessly (supported on a perfect air hockey
table). The disk is spinning at 21.00rad/s. A hoop (at rest--not
spinning) with the same mass and same radius is centered over the
disk and dropped on the disk --- where the hoop sticks to the disk.
What is the final angular speed (in Rad/s) of...

A solid disk of mass m1 = 9 kg and radius R = 0.23 m
is rotating with a constant angular velocity of ω = 39 rad/s. A
thin rectangular rod with mass m2 = 3.3 kg and length L
= 2R = 0.46 m begins at rest above the disk and is dropped on the
disk where it begins to spin with the disk.
6)
The rod took t = 5.4 s to accelerate to its final angular speed...

A hoop of mass M and radius R, initially at
rest, falls onto a disk of the same mass and radius but an initial
angular speed of ω1. There’s friction between
the hoop and disk, but there’s no net external torque on the system
consisting of the hoop and disk. ().
a. For this process, the kinetic energy of the system consisting
of the hoop and disk is conserved. True/False?
b.For this process, the angular momentum of the system
consisting...

A playground ride consists of a disk of mass M = 43 kg and
radius R = 2.2 m mounted on a low-friction axle. A child of mass m
= 29 kg runs at speed v = 2.1 m/s on a line tangential to the disk
and jumps onto the outer edge of the disk.
a) Calculate the change in linear momentum of the system consisting
of the child plus the disk (but not including the axle), from just
before...

A solid cylindrical disk has a radius of 0.19 m. It is mounted
to an axle that is perpendicular to the circular end of the disk at
its center. When a 40-N force is applied tangentially to the disk,
perpendicular to the radius, the disk acquires an angular
acceleration of 110 rad/s2.
What is the mass of the disk? kg

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 16 minutes ago

asked 27 minutes ago

asked 36 minutes ago

asked 37 minutes ago

asked 41 minutes ago

asked 48 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago