1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
krek1111 [17]
3 years ago
7

Blocks 1 and 2 of masses m1 and m2, respectively are connected by a light string, as show above. These blocks are further connec

ted to a block of Mass M by another light string that passes over a pulley of negligible mass and friction. Blocks 1 and 2 move with a constant velocity v down the inclined plane, which makes an angle θ with the horizontal. The kinetic frictional force on block 1 is f and that on block 2 is 2f.
1. Determine the coefficient of kinetic friction between the inclined plane and block 1
2. Determine the value of the suspended mass M that allows the inclined plane and block 1.
3. The string between blocks 1 and 2 is now cut. Determine the acceleration of block 1 while it is on the inclined plane.
Physics
2 answers:
zzz [600]3 years ago
7 0

Answer:

1)    μ₁ = (1 + m₂/m₁ )/3  tan θ - m3/3m₁   scs θ , 2)   W₃ = g (m₁ + m₂) sin θ + 3f , 3) a₁ = g sin θ - f / m₁

Explanation:

For this problem we must use Newton's second law, as the speed of the blocks is constant zero acceleration

Let's look at the attachment for the names of the forces. Let's write the equations for each body

Body 3

     T- W₃ = 0

     T = W₃

Body 2

Y Axis

     N- Wy₂ = 0

     N = W_{y}₂

X axis

     Wₓ₂- T₃ + T₁ -fr₂ = 0

Let's use trigonometry to find the weight components

     sin θ = Wₓ₂ / W₂

    cos θ = W_{y}₂ / W₂

    Wₓ₂ = W₂ sin θ

    W_{y}₂ = W₂ cos θ

They indicate that the friction force of block 2 is

    fr₂ = 2f

We replace

    W₂ sin θ - T₃ + T₁ - 2f = 0

Body 1

Y Axis

     N₁ - W_{y}₁ = 0

X axis

     Wₓ₁ -T₁- fr₁ = 0

If we use the same trigonometry equation as for body 2

    Wₓ₁ = W₁ sin θ

    W_{y}₁ = W₁ cos θ

Give the rubbing force of block 1

   fr₁ = f

We replace

   W₁ sin θ - T₁ - f = 0

Let's write our system of equations

   T₃ - W₃ = 0

   W₂ sintea - T₃ + T₁ - 2f = 0

   W₁ sintea - T₁ - f = 0

Add the three equations

    W₂ sin θ + W₁ sin θ -W₃ - 3f = 0

    g sin θ (m₂ + m₁) - m₃ g = 3f

    f = g [(m₁ + m₂) sin θ - m₃] / 3

   The formula for friction force is

    fr₁ = μ N₁

    fr₁ = f = μ W₁ cos θ

    μ₁ = f / m₁ g cos θ

    μ₁ = g [(m₁ + m₂) sin θ - m₃] / 3 m₁ g cos θ

    μ₁ = (1 + m₂/m₁ )/3  tan θ - m3/3m₁   scs θ

2)  add 2 and 3 equation

    W₂ sin θ + W₁ sin θ - T₃ - 3f = 0

    T₃ = g (m₁ + m₂) sin θ + 3f

    W₃ = g (m₁ + m₂) sin θ + 3f

3) when cutting the rope T1 = 0

   W₁ sin θ - f = m₁ a₁

   a₁ = g sin θ - f / m₁

Agata [3.3K]3 years ago
4 0
Lllllllllllllllllits c
You might be interested in
A 7.0-μC point charge and a point charge are initially extremely far apart. How much work does it take to bring the point charge
vazorg [7]

Answer:1.008 ×10^-14/rJ

Where r is the distance from.which the charge was moved through.

Explanation:

From coloumbs law

Work done =KQq/r

Where K=9×10^9

Q=7×10^-6C

q=e=1.6×10^-19C

Micro is 10^-6

W=9×10^9×7×10^-6×1.6×10^-19/r=100.8×10^-16/r=1.008×10^-14/rJ

r represent the distance through which the force was used to moved the charge through.

4 0
3 years ago
Read 2 more answers
Carbon is allowed to diffuse through a steel plate 15 mm thick. The concentrations of carbon at the two faces are 0.65 and 0.30
beks73 [17]

Answer:

T=575.16K

Explanation:

To solve the problem we proceed to use the 1 law of diffusion of flow,

Here,

J=-D\frac{\Delta C}{\Delta x}

\Delta C is the rate in concentration

\Delta xis the rate in thickness

D is the diffusion coefficient, where,

D= D_0 exp(\frac{Q_d}{RT})

Replacing D in the first law,

J=-(D_0 exp(\frac{-Q_D}{RT}))\frac{\Delta }{\Delta x}

clearing T,

T=\frac{Q_d}{R*ln(\frac{J*\Delta x}{D_0*\Delta C})}

Replacing our values

T=-\frac{80000}{8.31*ln(\frac{(6.2*10^{-7})(-15*10^{-3})}{(1.43*10^{-9})(0.65-0.30)})}

T=-\frac{80000}{-138.09}

T=575.16K

4 0
3 years ago
Q5) Name the unit for expressing nuclear cross-sections.
andreyandreev [35.5K]

Answer:

The unit is the barn, which is equal to 10-28 m^2 or 10-24 cm^2

Explanation:

The standard unit for measuring a nuclear cross section (denoted as σ)

3 0
3 years ago
During a summer with little rainfall, your house on a hill slope experiences an interval during which your well runs dry. You ha
irina1246 [14]

Answer and Explanation:

You don't have water because of two possible reasons:

  1. Because of the summer and the little rain, the underwater supply goes low.
  2. The slope in the hill you live makes the underground water goes down by the effect of gravity. Imagine the underground water like a small tank, when the water is reduced for any reason the bottom of the tank will have the remaining water, while the top part will be "empty".

6 0
2 years ago
Put the following events in the order they occurred to lead to the formation of the solar system:
AfilCa [17]

Answer:

Third → First → Second → Fourth

Explanation:

Initially helium and Hydrogen in abundance started to form atoms

Following the atoms formation by hydrogen and helium bombardment of new matter into the Earth took place.

The bombardment of matter resulted in separation of Earth into respective layers based on the weight of the matter.

A primitive ocean was created as a result of off gassing of the volcanoes.

8 0
3 years ago
Other questions:
  • Phytoplankton would most likely be found _______.
    11·2 answers
  • During a new moon, is the moon A) in between Earth and the sun B) in front of the sun, in back of Earth C) in front of Earth, in
    11·2 answers
  • I NEED HELP BADLY
    8·1 answer
  • A skater glides along a circular path of radius 3.00 m. If he coasts around one half of the circle, find the magnitude of the di
    14·1 answer
  • What two forms might terraces take when they become part of a continent
    15·1 answer
  • True or false a moving wave source does not affect the frequancy of the wave encountered by the observer
    11·2 answers
  • A 25kg mass is suspended at the end of a horizontal, massless rope that extends from a wall on the left and from the end of a se
    5·2 answers
  • A planet moves in a circular orbit of radius 4.5x10^15 m with a period of 4
    11·1 answer
  • Select three effective methods for helping a friend who is showing self harming behavior
    13·1 answer
  • An object which starts at the origin is traveling in the positive direction with a constant velocity V. After traveling a distan
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!