Question

A 90 kg mass is tied to a massless rope wrapped around a solid cylindrical drum, mounted on a frictionless horizontal axle. When the mass is released, it falls with acceleration 3.4 m/s2 .

a. Find the rope tension. **Express your answer in
newtons.**

b. Find the drum's mass.

Answer #1

A bucket of water of mass 15.9 kg is suspended by a rope wrapped
around a windlass, that is a solid cylinder with diameter 0.350 m
with mass 12.4 kg . The cylinder pivots on a frictionless axle
through its center. The bucket is released from rest at the top of
a well and falls a distance 10.2 m to the water. You can ignore the
weight of the rope.
Part A
What is the tension in the rope while...

4. A massless rope is wrapped around a uniform solid
cylinder that has radius of 30 cm and mass 10 kg, as
shown in the figure. The cylinder begins to unwind when it is
released and allowed to rotate.
(a) What is the acceleration of the center of mass of the
cylinder?
(b) If 90 cm of rope is unwound from the cylinder as it falls, how
fast is it rotating at this instant?

A 4.00 kg stone is tied to a thin, light wire wrapped around the
outer edge of the uniform 10.0 kg cylindrical pulley shown in the
figure below (Figure 1). The inner diameter of the pulley is 60.0
cm , while the outer diameter is 1.00 m . The system is released
from rest, and there is no friction at the axle of the pulley.
a) Find the acceleration of the stone.
b) Find the tension in the wire.
c)...

in
the figure a rope is wrapped around a wheel of radius R= 2.0 m. the
moment of inertia if the wheel is 54 kg•m^2. the wheel is mounted
with frictionless bearings on an axle through its center. A block
of mass 14 kg is suspended from the end of the rope. when the
system is released from rest it is observed that the block descends
10 m in 2.0 sec. what is the speed of the block?

a 20.00-kg box is attached to a light string that is wrapped
around a cylindrical frictionless spool of radius 15.0 cm and mass
of 5.00 kg. The spool is suspended from the ceiling, and the box is
then released from rest a distance 4.50 m above the floor.
What is the acceleration [in m/s2] of the box?
How long does it take [in s] for the box to reach the floor?

A block (mass = 1.2 kg) is hanging from a massless cord that is
wrapped around a pulley (moment of inertia = 1.0 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 block (mass = 3.0 kg) is hanging from a massless cord that is
wrapped around a pulley (moment of inertia = 1.2 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 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 block (mass = 2.3 kg) is hanging from a massless cord that is
wrapped around a pulley (moment of inertia = 1.7 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 block (mass = 1.7 kg) is hanging from a massless cord that is
wrapped around a pulley (moment of inertia = 1.0 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...

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