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
lora16 [44]
3 years ago
7

horizontal clothesline is tied between 2 poles, 14 meters apart. When a mass of 3 kilograms is tied to the middle of the clothes

line, it sags a distance of 1 meters. What is the magnitude of the tension on the ends of the clothesline

Physics
2 answers:
lbvjy [14]3 years ago
5 0

Answer:

The tension is  T =  103.96N

Explanation:

The free body diagram of the question is shown on the first uploaded image From the question we are told that

           The distance between the two poles is D =14 m

          The mass tied between the two cloth line is  m = 3Kg

         The distance it sags is d_s = 1m

The objective of this solution is to obtain the magnitude of the tension on the ends of the  clothesline

Now the sum of the forces on the y-axis is zero assuming  that the whole system is at equilibrium

       And this can be mathematically represented as

                             \sum F_y = 0

 To obtain \theta we apply SOHCAHTOH Rule

 So    Tan \theta = \frac{opp}{adj}

          \theta = tan^{-1} [\frac{opp}{adj} ]

            = tan^{-1} [\frac{1}{7}]

          =8.130^o

=>  \  \ \ \ \ \ \ \ 2T sin\theta -mg =0

=>  \  \ \ \ \ \ \ \ T =\frac{mg}{2 sin\theta}

=>  \  \ \ \ \ \ \ \ T = \frac{3 * 9.8 }{2 sin \theta }

=>  \  \ \ \ \ \ \ \  T =\frac{29.4}{2sin(8.130)}

=>  \  \ \ \ \ \ \ \  T = 103.96N

             

                 

yarga [219]3 years ago
4 0

Answer:

T = 104N

Explanation:

We are to calculate the magnitude of the tension on the ends of the clothesline and to solve this, we need to draw a free body diagram to make it clearer.

Thus, i have attached the free body diagram.

Now, from the diagram, the angle made by the rope with the pole is given as α.

Now, we see that the rope sags by 1m. Since the weight is at midpoint, the point from the centre to the pole is 14/2 = 7m

Thus,using formula for finding angles in a right angle triangle, we have;

Tan α = opposite/adjacent = 1/7 =0.1429

Thus, α = tan^(-1)0.1429 = 8.133°

Now, to find the tension on the ends of the cloth line, we have to resolve the forces vertically.

Thus, still using the formula for finding angles in a right angle triangle, we have;

T sinα + T sinα = mg

i.e sum of upward forces = sum of dowward forces.

Thus,

2T(sin 8.133°) = 3 x 9.81

T(2 x 0.1415) = 29.43

T = 29.43/0.283 = 104 N

You might be interested in
The Greeks noticed that some stars were larger and moved haphazardly. What were these stars?
Varvara68 [4.7K]

Answer:

i guess it's shooting star

5 0
2 years ago
A particular car has a weight of 9500 N. What is the mass of the car? 9500 kg 95000 kg 950 kg 2160 kg
Ivenika [448]

950kg. It is W=mg. therefore, mass= W/g which is W/10

=9500/10

=950

8 0
2 years ago
Earth's rising atmospheric temperature is MOSTLY caused by unnatural
nataly862011 [7]
Greenhouse gases
What is Global Warming? Global warming is the unusually rapid increase in Earth's average surface temperature over the past century primarily due to the greenhouse gases released by people burning fossil fuels.Jun 3, 2010
4 0
2 years ago
How does kinetic energy affect the stopping distance of small vehicle compared to a large vehicle
Nadusha1986 [10]
The kinetic energy for a large vehicle is different from that of a smaller vehicle, assuming that the vehicles are travelling at the same speed and stopping the same distance. This is because for a larger vehicle the kinetic energy is higher, as the mass for a larger vehicle, is more than the smaller vehicle.
4 0
3 years ago
See attached screenshot, 3 questions worth 30 points
maw [93]
3 the answer is 3 sir
7 0
3 years ago
Other questions:
  • An object that has what acting on it acts as if there were no forces acting on it at all
    6·1 answer
  • A particle in uniform circular motion requires a net force acting in what direction?
    6·1 answer
  • A client is receiving an IV solution of sodium chloride 0.9% (Normal Saline) 250 ml with amiodarone (Cordarone) 1 gram at 17 ml/
    15·1 answer
  • A proton moves at a speed 1.4 × 10^7 m/s perpendicular to a magnetic field. The field causes the proton to travel in a circular
    15·1 answer
  • If element X has 40 protons will it also have 40 electrons
    15·2 answers
  • 6th grade science !!!!!!!!!!!!!!!​
    11·1 answer
  • The diagram below shows a person swinging a hammer.
    6·2 answers
  • Can you please help me figure out the work for the missing quantities?
    7·1 answer
  • Weekend A<br> Assignment<br> Differentiate between forced and damped oscillation
    11·1 answer
  • A cart is being pulled forward by a hanging mass. What is the value of the change in its kinetic energy, ΔEk?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!