Question

A 10 kg pulley with radius 1.0 m has an angular acceleration of 4.0 rad/s2 due to a wooden block hanging from a rope wound around the pulley. What is the mass of the block (in kg)? Consider the pulley to be a uniform disk.

Answer #1

The pulley shown below has a mass of 3.00 kg and radius R = 60.0
cm, and can be treated as a uniform solid disk that can rotate
about its center. The block (which has a mass of m = 900 g) hanging
from the string wrapped around the pulley is then released from
rest. Use g = 10 m/s2. When the block has dropped through a
distance of 2.00 m, what is the block's speed?

1. A wheel starts from rest and has an angular acceleration of
6.00 rad/s2 . When it has made 3.00 rev its angular
velocity in rad/s is:
2. A circular disk of radius 1.00 m rotates, starting from rest,
with a constant angular acceleration. What is the centripetal
acceleration of a point on the edge of the disk at the instant that
its angular speed is 2.50 rev/s?

The pulley in the following figure is a uniform disk with the
radius 0.160 m and the mass M=4kg. The rope does not slip on the
pulley rim. Use energy methods to calculate the speed of the
m2 = 9 kg block just before it strikes the floor.(
m1= 2.00 kg, g=10m/s2)

The pulley in the following figure is a uniform disk with the
radius 0.160 m and the mass M=4kg. The rope does not slip on the
pulley rim. Use energy methods to calculate the speed of the
m2 = 9 kg block just before it strikes the floor.(
m1= 2.00 kg, g=10m/s2)

Radius of the middle disk of the 3-step
pulley r = _0.0166_ ( m
) You need this value to calculate the torque applied to
the combination of the connected disk and the ring using a string
with a mass hanging at the other end.
Angular acceleration data for the Aluminum disk and the black
ring combined.
Mass m of the brass discs and the plastic mass hanger combined (
kg )
m = 0.025 kg
m = 0.045 kg
m =...

A block (mass = 1.0 kg) is hanging from a massless cord that is
wrapped around a pulley (moment of inertia = 1.1 x 10-3
kg·m2), as the figure shows. Initially the pulley is
prevented from rotating and the block is stationary. Then, the
pulley is allowed to rotate as the block falls. The cord does not
slip relative to the pulley as the block falls. Assume that the
radius of the cord around the pulley remains constant at a...

A uniform disk of mass Mdisk = 4 kg and radius R =
0.24 mhas a small block of mass mblock = 2.2 kg on its
rim. It rotates about an axis a distance d = 0.16 m from its center
intersecting the disk along the radius on which the block is
situated.
What is the moment of inertia of the block about the rotation
axis?
What is the moment of inertia of the disk about the rotation
axis?
When...

A
1.53kg bucket hangs on a rope wrapped around a pulley of mass
7.07kg and radius 66cm. This pulley is frictionless in its axle,
and has the shape of a solid uniform disk.
A. Explain conceptually why the moment of inertia of
this pulley is less than the moment of inertia of a hoop around its
center with the same mass and circumference as the
pulley.
B. What is the angular acceleration of the
pulley?
C. What is the acceleration...

The pulley is a uniform cylinder with mass m3 = 0.400 kg and
radius R= 4.00 cm, the other two masses are m1 = 2.00 kg and m2 =
1.00 kg, and α = 35.0 degrees. Assume the rope is massless, there
is no slipping of the rope on the pulley, there is no friction
between m1 and the incline, and the incline position is fixed.
(a)
What is the acceleration of m1 and m2 (both magnitude and
direction)? What...

4. A pulley, solid ring shape, has a mass of 1.8 kg. A
rope is wound on the pulley, and at the end it has hanging a mass
of 3.6 kg. Determine the acceleration of the hanging mass, and the
tension in the string.

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