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?
Concept - use work energy theorem to find the speed of the masses after they fall as shown below

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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 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?
Atwood’s machine with a massive pulley and massless string: two
masses are initially at rest at the same height. After the masses
are released, the large mass m2, falls through a height
h and hits the floor, and the small mass, m1, rises
through a vertical height h. Assuming the pulley has mass M and
radius R, find the speed of the masses just before m2
lands, giving your answer in terms of m1, m2,
g, M, R, and h....
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 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...
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.
A m1 = 14.1 kg mass and a m2 = 10.6 kg mass are suspended by a pulley that has a radius of R = 11.4 cm and a mass of M = 3.18 kg, as seen in the figure below. The cord has a negligible mass and causes the pulley to rotate without slipping. The pulley rotates without friction. The masses start from rest d = 2.79 m apart. Treating the pulley as a uniform disk, determine the speeds...
A m1 = 14.6 kg mass and a
m2 = 11.1 kg mass are suspended by a pulley
that has a radius of R = 11.8 cm and a mass of M
= 2.52 kg, as seen in the figure below.
The cord has a negligible mass and causes the pulley to rotate
without slipping. The pulley rotates without friction. The masses
start from rest d = 3.13 m apart. Treating the pulley as a
uniform disk, determine the speeds...
Objects with masses m1 = 8.0 kg and m2 = 5.00 kg are connected by a light string that passes over a frictionless pulley as in the figure below. If, when the system starts from rest, m2 falls 1.00 m in 1.70 s, determine the coefficient of kinetic friction between m1 and the table.
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...
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...