Question

1a. a box of dirty money (mass *m*_{1}
= 3.5 kg) on a frictionless plane inclined at angle θ_{1} =
37°. The box is connected via a cord of negligible mass to a box of
laundered money (mass *m*_{2} = 1.3 kg) on a
frictionless plane inclined at angle θ_{2} = 54°. The
pulley is frictionless and has negligible mass. What is the tension
in the cord?

1b. three blocks attached by cords that loop over frictionless
pulleys. Block *B* lies on a frictionless table; the masses
are *m _{A}* = 7.00 kg,

1c. A 3 kg particle moves along an *x* axis, being
propelled by a variable force directed along that axis. Its
position is given by *x* = 2 m + (3 m/s)*t* +
*ct*^{2} - (2 m/s^{3})*t*^{3}
with *x* in meters and *t* in seconds.The factor
*c* is a constant. At *t* = 4 s the force on the
particle has a magnitude of 30 N and is in the negative direction
of the axis. What is *c*?

Answer #1

A block of mass m1 = 3.27 kg on a frictionless plane inclined at
angle θ = 26.2° is connected by a cord over a massless,
frictionless pulley to a second block of mass m2 = 2.60 kg hanging
vertically (see the figure). (a) What is the acceleration of the
hanging block (choose the positive direction down)? (b) What is the
tension in the cord?

A 3-kg-mass is sliding down a frictionless inclined plane (θ =
22º) towards a spring of force constant 450 N/m. The mass is
initially a meter from the spring and is traveling with a speed of
0.8 m/ s. How much is the spring compressed when the mass is
momentarily stationary? Assume the mass of the spring is
negligible.

A box with 10 kg of mass slides down an inclined plane that is
1.7 m high and 3.5 m long. Due to friction the box reaches 3.0 m/s
at the bottom of the inclined plane. Beyond the inclined plane lies
a spring with 650 N/m constant. It is fixed at its right end. The
level ground between the incline and the spring has no friction
The box compressed the spring, got pushed back towards the
incline by the spring....

A 16.1 kg box is at rest on an inclined plane. The plane makes
an angle of 39.3 with the horizontal. How much is the friction
force (in Newtons) on the plane that holds it at rest?

An object with mass M1M1 of 2.85 kg is held in place on an
inclined plane that makes an angle θθ of 40.0° with the horizontal
(see figure below). The coefficient of static friction between the
plane and the object is 0.566. A second object that has a mass M2M2
of 4.75 kg is connected to the first object with a massless string
over a massless, frictionless pulley.
Calculate the initial acceleration and tension once objects are
released.

A
box kg meters with constant speed on a rough inclined plane whose
surface is 30 ° with the horizontal. What is the magnitude of the
work done by the friction force?
A
box of mass M = 5 kg slides 10 meters with constant speed on a
rough inclined plane whose surface is 30 ° with the horizontal.
What is the magnitude of the work done by the friction force?

A block of mass m = 3.3 kg is on an inclined plane with
a coefficient of friction μ1 = 0.39, at an
initial height h = 0.53 m above the ground. The plane is
inclined at an angle θ = 44°. The block is then compressed
against a spring a distance Δx = 0.13 m from its
equilibrium point (the spring has a spring constant of
k1 = 35 N/m) and released. At the bottom of the
inclined plane...

PLEASE ANSWER BOTH QUESTIONS!
(1) A 2.4 kg particle moves along an x axis, being
propelled by a variable force directed along that axis. Its
position is given by x = 3.0 m + (4.0 m/s)t +
ct2 - (1.8
m/s3)t3, with x in meters
and t in seconds. The factor c is a constant. At
t = 3.0 s, the force on the particle has a magnitude of 36
N and is in the negative direction of the axis....

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...

A wheel (disk) of radius 0.2 m and mass 1 kg are mounted on a
frictionless horizontal axis. A massless cord is wrapped around the
wheel and attached to a 2 kg object that slides on a frictionless
surface inclined at an angle of 60 degrees with the horizontal.
What is the acceleration of the block as well as the angular
acceleration of the wheel about its axis of rotation?
Answer: 6.93 m/s^2, 34.64 rad/s^2

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