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
NNADVOKAT [17]
3 years ago
6

The smallest angle of inclined desk at which a book begins to slide off the desk is 15∘ relative to the horizontal.

Physics
2 answers:
Ray Of Light [21]3 years ago
6 0
The question appears to be incomplete.
I assume that we are to find the coefficient of static friction, μ, between the desk and the book.

Refer to the diagram shown below.
m = the mass of the book
mg = the weight of the book (g = acceleration due to gravity)

N = the normal reaction, which is equal to
N = mg cos(12°)

R =  the frictional force that opposes the sliding down of the book. It is
R = μN = μmg cos(12°)

F =  the component of the weight acting down the incline. It is
F = mg sin(12°)

Because the book is in static equilibrium (by not sliding down the plane), therefore
F = R
mg sin(12°) = μmg cos(12°)
\frac{sin(12^{o})}{cos(12^{o})} =  \frac{\mu mg}{mg} = \mu \\\\
tan(12^{o}) = \mu

Therefore, the static coefficient of friction is
μ = tan(12) = 0.213

Answer:  μ = 0.21 (nearest tenth)

Galina-37 [17]3 years ago
3 0

The coefficient of friction between the book and the desk is \boxed{0.268} .

Further Explanation:

When a body starts moving on an inclined plane at the minimum inclination, then the inclination of the plane at that instant is termed as the angle of repose. At the angle of repose, the sliding of the body kept on the inclined plane starts.

At this instant, the expression of force balancing on the book can be written as:

\boxed{{F_f}=mg\sin \theta }

Here, {F_f}  is the frictional force experienced by the book and mg\sin \theta  is the weight of the book acting in the downward direction.

The friction force acting on the book in the upward direction along the inclined plane is:

\begin{aligned}{F_f}&=\mu N\\&=\mu mg\cos \theta \\\end{aligned}

Substitute the value of the friction force acting on the book.

\begin{aligned}\mu mg\cos\theta=mg\sin \theta\\\mu=\tan \theta \\\end{aligned}

Substitute the value of \theta  in equation (1).

\begin{aligned}\mu &=\tan \left({15}\right)\\&=0.267\\\end{aligned}

Thus, the coefficient of friction between the book and the desk is \boxed{0.268} .

Learn More:

1. a 30.0-kg box is being pulled across a carpeted floor by a horizontal force of 230 N <u>brainly.com/question/7031524 </u>

2. choose the 200 kg refrigerator. set the applied force to 400 n (to the right) <u>brainly.com/question/4033012 </u>

3. forces of attraction limit the motion of particles most in <u>brainly.com/question/947434 </u>

Answer Details:

Grade: Middle School

Subject: Physics

Chapter: Laws of Motion

Keywords:

Smallest angle, inclined desk, angle of repose, friction force, begins to slide, off the desk, inclined plane, relative to horizontal, coefficient of friction.

You might be interested in
What is the current when the voltage is 18 volts and the resistance is 6 ohms?
juin [17]
Voltage = current(I) * resistance (R)
V = 18
R = 6

18 = I * 6
I = 18/6 = 3 Amps or D
6 0
3 years ago
Read 2 more answers
What happens when you get a concussion?
madreJ [45]
A concussion, which is a form of mild traumatic brain injury, occurs after a blow to the head. The brain is surrounded by fluid and protective membranes called meninges, which usually cushion the brain. During an impact, the brain is pushed against the inside of the skull and can be bruised.
6 0
3 years ago
Where should an object be placed in front of a concave mirror’s principal axis to form an image that is real, inverted, larger t
malfutka [58]
<em> I believe the answer is letter C.</em>
8 0
2 years ago
Read 2 more answers
What's a streak plate?
andrew-mc [135]
An unglazed piece of porcelain, used to test the characteristic streak of minerals by rubbing the mineral across the tile. Streak plates have a hardness of about 6.5 on the Mohs scale and cannot be used for testing harder minerals.
3 0
3 years ago
If the distance between the first order maximum and the tenth order maximum of a double-slit pattern is 18 mm and the slits are
Setler79 [48]

Answer:

Wavelength of light is 600 nm

Explanation:

Given

Distance between the first order maximum and the tenth order maximum of a double-slit pattern = 18 mm

Separation between the slits = 0.15 mm

Distance of screen from the slits = 50 cm

Wavelength

= \frac{18*10^{-3} * 0.15 *10^{-3}}{0.50*9} \\= 6 *10^{-7}\\= 600nm

4 0
2 years ago
Other questions:
  • Susan works 8 hours a day and makes $7.00 per hour. How much money does Susan earn in one week if she
    7·2 answers
  • Which of the following is an example of how a scientist might use a model?
    15·2 answers
  • An astronaut notices that a pendulum which took 2.45 s for a complete cycle of swing when the rocket was waiting on the launch p
    6·1 answer
  • What is the density of the football while it is deflated?
    12·2 answers
  • The water in a deep underground well is used as the cold resevoir of a Carnot heat pump that maintains the temperature of a hous
    11·1 answer
  • A mass of 3.0 kg rests on a smooth surface inclined 34° above the horizontal. It is kept from sliding down the plane by a spring
    5·1 answer
  • What is the wave speed of a wave that has a frequency of 20 Hz and a wavelength of 30 m?
    13·1 answer
  • 2) A car is towed by a horizontal rope at a constant speed.<br> draw the free body diagram
    9·1 answer
  • A concave mirror of radius of 30cm produces and image three times in size of the object the distance of the object from the mirr
    15·1 answer
  • A 2.03 kg book is placed on a flat desk. Suppose the coefficient of static friction between the book and the desk is 0.602 and t
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!