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
Svet_ta [14]
3 years ago
14

A uniform ladder of length L and weight w is leaning against a vertical wall. The coefficient of static friction between the lad

der and the floor is the same as that between the ladder and the wall. If this coefficient of static friction is μs = 0.495, determine the smallest angle the ladder can make with the floor without slipping.
Physics
1 answer:
pantera1 [17]3 years ago
3 0

Answer: 45.3°

Explanation:

Given,

Length of ladder = l

Weight of ladder = w

Coefficient of friction = μs = 0.495

Smallest angle the ladder makes = θ

If we assume the forces in the vertical direction to be N1, and the forces in the horizontal direction to be N2, then,

N1 = mg and

N2 = μmg

Moment at a point A in the clockwise direction is

N2 Lsinθ - mg.(L/2).cosθ = 0

μmgLsinθ - mg.(L/2).cosθ = 0

μmgLsinθ = mg.(L/2).cosθ

μsinθ = cosθ/2

sin θ / cos θ = 1 / 2μ

Tan θ = 1 / 2μ

Substituting the value of μ = 0.495, we have

Tan θ = 1 / 2 * 0.495

Tan θ = 1 / 0.99

Tan θ = 1.01

θ = tan^-1(1.01)

θ = 45.3°

You might be interested in
The main difference between the internal combustion engine and the diesel engine is that the diesel engine
NeTakaya
The diesel engine has no ignition system. (C)
It depends on the compression of the fuel/air mixture to ignite the mixture.

This may be a big part of the reason that Diesel engines always
sound to me as if they are falling apart.
4 0
3 years ago
Need help with these please
Montano1993 [528]

Answer:

Explanation:

Which number all or one?

6 0
3 years ago
Read 2 more answers
The scientist who found a way to measure the distance between the sun and Venus which
Yakvenalex [24]

Answer:

Astronomer Edmond Halley

Explanation:

The astronomical unit using the transit of venus

The underlying principle behind Halley's method is called parallax

8 0
3 years ago
A truck travels 1430 m uphill along a road that makes a constant angle of 5.76◦ with the horizontal.
Alex73 [517]

Answer:

The horizontal component of displacement is d' = 1422.7 m

Explanation:

Given data,

The distance covered by the truck, d = 1430 m

The angle formed with the horizontal, Ф = 5.76°

The displacement is a vector quantity.

The horizontal component of displacement is given by,

                                 d' = d cos Ф

                                     = 1430 cos 5.76°

                                     = 1422.7 m

Hence, the horizontal component of displacement is d' = 1422.7 m

5 0
3 years ago
If the pH of a solution decrease's, is the solution getting more acidic or lees acidic
enyata [817]

Answer:

The solution becomes more acidic.

Explanation:

As the pH of a solution decreases, the concentration of hydrogen ions [H+] increases. Acidic solutions have a higher concentration of hydrogen ions and a lower pH.

I hope this helped. :)

6 0
3 years ago
Other questions:
  • Which measurement is equivalent to 350 milliliters?
    11·1 answer
  • In fig. 30.11, suppose that and with switch open, switch is left closed until a constant current is established. then is closed
    14·1 answer
  • Muscle surround your body
    13·1 answer
  • Which property increases as an electromagnetic waves energy decreases
    15·2 answers
  • Physical science
    8·1 answer
  • An observer stands 150 meters from a fireworks display rocket, which is fired directly upward. When the rocket reaches a height
    14·1 answer
  • The body is subjected to a force of 0,4 N m with a shoulder of 5 cm. What is the magnitude of this force?​
    11·1 answer
  • A bird flies with a speed of 22km/hr, if the bird flew 72km, how long was it flying for?
    14·1 answer
  • Solid water has the same molecules as liquid water.<br><br> Is this true or false?
    12·2 answers
  • Two men pull on a 31-kg box with forces 8.3 N and 6.6 N in opposite directions.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!