Question

Objects with masses *m*_{1} = 12.0 kg and
*m*_{2} = 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, *m*_{2} falls 1.00
m in 1.48 s, determine the coefficient of kinetic friction between
*m*_{1} 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 net force, including friction, and solve for the
coefficient of kinetic friction.

An illustration shows a rectangular block of mass
*m*_{1} on the horizontal surface of a table. This
is connected to another rectangular block of mass
*m*_{2} by a cord that runs over a pulley placed
diagonally at the corner of the horizontal surface of the table.
The rectangular block of mass *m*_{2} is suspended
vertically by the side of the tabletop.

Answer #1

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.

An Atwood's machine consists of blocks of masses
m1 = 12.0 kg
and
m2 = 22.0 kg
attached by a cord running over a pulley as in the figure below.
The pulley is a solid cylinder with mass
M = 7.60 kg
and radius
r = 0.200 m.
The block of mass m2 is allowed to drop, and
the cord turns the pulley without slipping.
Two objects, blocks labeled m1 and
m2, are connected to a cord which is hung...

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...

Two objects with masses of m1 = 3.90 kg and
m2 = 5.70 kg are connected by a light string
that passes over a frictionless pulley, as in the figure below.
A string passes over a pulley which is suspended from a
horizontal surface. A circular object of mass
m1 and a rectangular object of
m2 are, respectively, attached to the left and
right ends of the string.
(a) Determine the tension in the string. (Enter the magnitude
only. Due...

7) A block of mass m1 = 38 kg on a
horizontal surface is connected to a mass m2 =
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.

Two blocks with masses m1 = 1.10 kg and m2 = 3.50 kg are
connected by a massless string. They are released from rest. The
coefficent of kinetic friction between the upper block and the
surface is 0.440. Assume that the pulley has a negligible mass and
is frictionless, and calculate the speed of the blocks after they
have moved a distance 68.0 cm.

Two masses m1 = 5 kg and m2 = 3 kg are connected by a
light rope dropped over a pulley as shown in the figure
a) Neglecting friction, what is the acceleration of these
masses?
b) What is the tension of the rope?
c) What will be the acceleration if the coefficient of friction for
the mass m1 is μk = 0.4?

Two packing crates of masses
m1 = 10.0 kg
and
m2 = 4.70 kg
are connected by a light string that passes over a frictionless
pulley as in the figure below. The 4.70-kg crate lies on a smooth
incline of angle 35.0°. Find the following.
Two crates are connected to each other by a string that passes
over a pulley, which is attached to the top corner of a wedge. The
crate of mass m1 hangs freely below the pulley....

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...

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