Question

A block m1= 0.5kg slides on a plane inclined at 300 to the horizontal. It is attached to a string which runs over a pulley and has a mass m2=0.2kg hanging at the other end. The coefficients of friction between the block m1 and the plane are: μs = 0.4 and μk = 0.3 . Assume that at t=0s, the block m1 is moving down the incline. Refer to this moment and: a) Draw FBD for both blocks. b) Write the second law for both of them c) Find the magnitude of acceleration of set of masses. d) Find if mass m1 is speeding up or slowing down.

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?

2. A block slides down a plane inclined at 35o with
respect to the horizontal, with coefficient of kinetic friction
0.2. Find the ratio of the time taken to slide down the plane
starting from rest, compared to the time it would take to slide
down the plane if it were frictionless.
3. A 20 kg block slides frictionlessly down an inclined plane
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A block with mass m = 14.6 kg slides down an inclined plane of
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Two blocks (m1=5.5kg, m2=7.2kg
) are connected by a string that passes through a massless pulley
as shown in the Figure. The first block with mass
m1 slides up the inclined
plane when the system is released. The inclined plane makes an
angle θ = 310 with the
horizontal and the kinetic friction coefficient between the
inclined plane and m1 is
=0.35. Take g=10m/s2 Find
the speed of the block with mass m2 after it travels
h=5.6m.

A block of mass M2 = 8.45 kg on a plane inclined moving down at
angle θ = 50° is
connected by a cord over a massless, frictionless pulley to a
second block of mass M1 = 5.36 kg
on a horizontal surface. The coefficient of kinetic friction
between M1, M2 and the surface is μk
= 0.150, the Force F1 = 11.3 N is acting downward on M1, and the
Force F2 = 21.8 N is acting on
M2...

In the figure, two blocks are shown with an inclined plane. The
two blocks are connected by a massless string strung over a
massless pulley. The mass of Block #1 is 3.57 kg and that
of Block #2 is 11.0 kg. The angle θ of the
incline is 43.0 degrees. The plane is NOT smooth and has a
coefficient of static friction of 0.570 and a coefficient of
kinetic friction of 0.240.
Taking the positive direction to be up the...

A block with mass m = 5.00kg slides down a surface inclined 36.9
? to the horizontal (the figure (Figure 1) ). The coefficient of
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around a flywheel on a fixed axis at O. The flywheel has mass
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Part A...

Figure shows a block of mass m resting on a 20∘ ∘ slope. The
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with the surface. It is connected via a massless string over a
massless, frictionless pulley to a hanging block of mass 2.0 kg k g
. (Figure 1)
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part b) If this minimum mass is...

A 1 kg block, starting from rest, slides down a 22 degree
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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...

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