Question

A mass m1 = 1 kg on a horizontal table is pulled by a string looped over a massless frictionless pulley and attached to another hanging mass m2. The coefficient of kinetic friction between the table and mass m1 is 0.5 and the coefficient of static friction is 0.6.

a) What is the minimum mass m2 that will start both masses moving?

b) What is the acceleration of the system with this minimum mass?

Answer #1

Objects with masses m1 = 12.0 kg and
m2 = 8.0 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 1.48 s, determine the coefficient of kinetic friction between
m1 and the table.
Express the friction force in terms of the coefficient of kinetic
friction. Obtain an expression for the acceleration in terms of the
masses and the...

7) A block of mass m1 = 38 kg on a
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21.6 kg that hangs vertically as shown in the figure below. The two
blocks are connected by a string of negligible mass passing over a
frictionless pulley. The coefficient of kinetic friction between
m1 and the horizontal surface is 0.24.
(a) What is the magnitude of the acceleration (in
m/s2) of the hanging mass?
Answer: m/s2
(b) Determine the...

Two blocks with masses M1 and M2 are connected by a massless
string that passes over a massless pulley as shown. M1 has a mass
of 2.25 kg and is on an incline of 49.5° with coefficient of
kinetic friction ?1 = 0.205. M2 has a mass of 5.45 kg and is on an
incline of 31.5° with coefficient of kinetic friction ?2 = 0.105.
Find the magnitude of the acceleration of M2 down the incline.

A hanging weight, with a mass of m1 = 0.370
kg, is attached by a string to a block with mass
m2 = 0.850 kg as shown in the figure below. The
string goes over a pulley with a mass of M = 0.350 kg. The
pulley can be modeled as a hollow cylinder with an inner radius of
R1 = 0.0200 m, and an outer radius of
R2 = 0.0300 m; the mass of the spokes is
negligible. As...

Two blocks with masses M1 and M2 are connected by a massless
string that passes over a massless pulley as shown.
M1 has a mass of 2.25 kg and is on an incline of θ1=46.5∘ with
coefficient of kinetic friction μ1=0.205.
M2 has a mass of 6.05 kg and is on an incline of θ2=33.5∘ with
coefficient of kinetic friction μ2=0.105.
The two‑block system is in motion with the block of mass M2
sliding down the ramp.
Find the magnitude...

An object with mass m1 = 3.70 kg, rests on a
frictionless horizontal table and is connected to a cable that
passes over a pulley and is then fastened to a hanging object with
mass m2 = 10.8 kg, as shown in the figure.
Two objects labeled m1 and
m2 are attached together by a cable.
Object m1 lies on a horizontal table with
the cable extending horizontally from its right side.
The cable extends horizontally from the right side...

the kinetic coefficient of friction for a 12 kg mass on a
table is 0.25. a string from this mass goes across a pulley and is
attached to an 8.0 kg mass hanging over the table. if the system is
moving so that the hanging mass is moving downward, find the
magnitude of the acceleration of each mass and the tension in the
string

Two blocks of mass m1 = 9.20 kg and m2 are connected by a light
string. When a horizontal force F = 105 N is applied to m1 as shown
in the figure below, the acceleration of the system is 3.20 m/s2
towards the left and the tension in the string connecting the two
blocks is 62.0 N. The blocks are moving on a rough surface with an
unknown coefficient of kinetic friction. Determine the coefficient
of kinetic friction between...

Objects with masses m1 = 11.0 kg and
m2 = 8.0 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 1.54 s, determine the coefficient of kinetic friction between
m1 and the table.

A hanging weight, with a mass of m1 = 0.365
kg, is attached by a cord to a block with mass
m2 = 0.815 kg as shown in the figure below. The
cord goes over a pulley with a mass of M = 0.350 kg. The
pulley can be modeled as a hollow cylinder with an inner radius of
R1 = 0.0200 m, and an outer radius of
R2 = 0.0300 m; the mass of the spokes is
negligible. As...

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