An Atwood’s machine has m1 = 0.105 kg, m2 = 0.100 kg, hung from a 5.00...
An Atwood’s machine has m1 = 0.105 kg, m2 = 0.100 kg, hung from a 5.00 cm radius solid disk pulley which has mass M = 0.100 kg. (Assume the wheel is in the shape of a disk I = MR2/2.) What is the angular acceleration of the pulley in rad/s2?
Homework Answers
Concept - use Newton’s law of motion to form equations of motion for linear motion of masses and rotational motion of pulley to find the acceleration,
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An Atwood’s machine has m1 = 0.105 kg, m2 = 0.100 kg, hung from
a 5.00...
An Atwood’s machine has m1 = 0.105 kg, m2 = 0.100 kg, hung from a 5.00...
An Atwood’s machine has m1 = 0.105 kg, m2 = 0.100 kg, hung from a 5.00 cm radius solid disk pulley which has mass M = 0.100 kg. (Assume the wheel is in the shape of a disk I = MR2/2.) If mass m1 falls 1m from rest, what is its speed in m/s?
An Atwood's machine has one block of m1 = 0.370 kg and the other is of...
An Atwood's machine has one block of m1 = 0.370 kg and the other is of m2 = 0.420 kg. The disk pulley, which is mounted in horizontal, frictionless bearings, has a radius of 5.0 cm. When released from rest, the heavier block is observed to fall Δy = 92.0 cm in 4.7 sec. For the following questions, return your answers rounded to 4 significant figures. 1.) The rate of acceleration of each block is m/s2. 2.) The tension in...
The Atwood’s machine in the figure is released from rest and accelerates as shown. The pulley...
The Atwood’s machine in the figure is released from rest and
accelerates as shown. The pulley has mass m3, and is a solid disk
(I = 1 2MR2).
A.Draw the three free-body-diagrams for the three objects in the
figure.
B.Choose coordinate systems so that the acceleration will be
positive in each.
C. Write down the three Newton’s second law equations from the
free-body-diagrams
D.Use the system of equations to solve for the acceleration in
terms of g, m1, m2, and...
A block of mass m1 1.80 kg and a block of mass m2 5.55 kg are...
A block of mass m1 1.80 kg and a block of mass m2 5.55 kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = 0.250 m and mass M = 10.0 kg. These blocks are allowed to move on a fixed block-wedge of angle e 30.0°. The coefficient of kinetic friction is 0.360 for both blocks. Draw free-body diagrams of both blocks and of the pulley. M, R Mig...
A block of mass m1 = 1.90 kg and a block of mass m2 = 6.50...
A block of mass
m1 = 1.90 kg
and a block of mass
m2 = 6.50 kg
are connected by a massless string over a pulley in the shape of
a solid disk having radius
R = 0.250 m
and mass
M = 10.0 kg.
The fixed, wedge-shaped ramp makes an angle of
θ = 30.0°
as shown in the figure. The coefficient of kinetic friction is
0.360 for both blocks.
A wedge in the shape of a right trapezoid...
A block of mass m1 = 1.95 kg and a block of mass m2 = 5.50...
A block of mass m1 = 1.95 kg and a block of mass m2 = 5.50 kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = 0.250 m and mass M = 10.0 kg. The fixed, wedge-shaped ramp makes an angle of θ = 30.0° as shown in the figure. The coefficient of kinetic friction is 0.360 for both blocks. A wedge in the shape of a right trapezoid...
Problem #1 m1 m2 Two blocks mı = 4 kg and m2 = 9 kg are...
Problem #1 m1 m2 Two blocks mı = 4 kg and m2 = 9 kg are initially arranged as shown in the figure. They are tied to a massless rope going around the pulley. The pulley has a form of a cylinder with a mass of M = 8 kg and radius of R = 40 cm. Both the incline and the horizontal surface have a coefficient of kinetic friction ulk = 0.15. The incline is at the angle o...
Block 1 has a mass of m1 = 450 g and Block 2 has a mass...
Block 1 has a mass of
m1 = 450 g and Block 2 has a mass of m2 = 500 g. The pulley, which
is mounted on a horizontal axle with negligible friction through
its center, has a radius of 5.00 cm. When released from rest, Block
2 accelerates downward at a rate of 0.425 m/s2 without the cord
slipping on the pulley. What is the rotational inertia of the
pulley?
Moments of inertia for uniform objects about their centers...
VULSTIUNI A mass of 1 kg hangs from the side of a pulley. The pulley has...
VULSTIUNI A mass of 1 kg hangs from the side of a pulley. The pulley has a moment of inertia of 3/4 MR2, a mass of 10 kg, and a radius of 0.2 m. The pulley and hanging mass are initially at rest. What is the downward speed of the hanging mass when it has fallen 2.0 m? a. 1.15 m/s b. 1.37 m/s c. 1.55 m/s d. 1.83 m/s e. 2.15 m/s QUESTION 2 A5 kg 1.0 m radius...
An Atwood's machine has one block of m1 = 0.150 kg and the other is of...
An Atwood's machine has one block of m1 = 0.150 kg and the other is of m2 = 0.210 kg. The disk pulley, which is mounted in horizontal, frictionless bearings, has a radius of 5.0 cm. When released from rest, the heavier block is observed to fall Δy = 80.0 cm in 4.0 sec. The moment of inertia for the pulley is: kg m2.
The Atwood’s machine in the figure is released from rest and
accelerates as shown. The pulley has mass m3, and is a solid disk
(I = 1 2MR2).
A.Draw the three free-body-diagrams for the three objects in the
figure.
B.Choose coordinate systems so that the acceleration will be
positive in each.
C. Write down the three Newton’s second law equations from the
free-body-diagrams
D.Use the system of equations to solve for the acceleration in
terms of g, m1, m2, and...
A block of mass m1 1.80 kg and a block of mass m2 5.55 kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = 0.250 m and mass M = 10.0 kg. These blocks are allowed to move on a fixed block-wedge of angle e 30.0°. The coefficient of kinetic friction is 0.360 for both blocks. Draw free-body diagrams of both blocks and of the pulley. M, R Mig...
A block of mass
m1 = 1.90 kg
and a block of mass
m2 = 6.50 kg
are connected by a massless string over a pulley in the shape of
a solid disk having radius
R = 0.250 m
and mass
M = 10.0 kg.
The fixed, wedge-shaped ramp makes an angle of
θ = 30.0°
as shown in the figure. The coefficient of kinetic friction is
0.360 for both blocks.
A wedge in the shape of a right trapezoid...
Problem #1 m1 m2 Two blocks mı = 4 kg and m2 = 9 kg are initially arranged as shown in the figure. They are tied to a massless rope going around the pulley. The pulley has a form of a cylinder with a mass of M = 8 kg and radius of R = 40 cm. Both the incline and the horizontal surface have a coefficient of kinetic friction ulk = 0.15. The incline is at the angle o...
Block 1 has a mass of
m1 = 450 g and Block 2 has a mass of m2 = 500 g. The pulley, which
is mounted on a horizontal axle with negligible friction through
its center, has a radius of 5.00 cm. When released from rest, Block
2 accelerates downward at a rate of 0.425 m/s2 without the cord
slipping on the pulley. What is the rotational inertia of the
pulley?
Moments of inertia for uniform objects about their centers...
VULSTIUNI A mass of 1 kg hangs from the side of a pulley. The pulley has a moment of inertia of 3/4 MR2, a mass of 10 kg, and a radius of 0.2 m. The pulley and hanging mass are initially at rest. What is the downward speed of the hanging mass when it has fallen 2.0 m? a. 1.15 m/s b. 1.37 m/s c. 1.55 m/s d. 1.83 m/s e. 2.15 m/s QUESTION 2 A5 kg 1.0 m radius...
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