idontknow11223344
22.07.2021 •
Physics
3. Three blocks of masses m, 2m and 3m are suspended from the ceiling using ropes as shown in diagram. Which of the following correctly describes the tension in the three rope segments?
a. T1< T2 < T3
b. T1< T2 = T3
c. T1 = T2 = T3
d. T1> T2 > T3
please help.show how and which?
see attachment for more detail.
Solved
Show answers
More tips
- C Computers and Internet Log-in: what is it and why do you need it?...
- S Style and Beauty Secrets of Tying a Pareo: 5 Ways...
- F Food and Cooking 10 Reasons Why You Should Avoid Giving Re-Gifts: An Informative Guide...
- S Sport How to wrap boxing hand wraps? Everything you need to know!...
- A Animals and plants 5 Tips for Taking Care of Yews to Keep Them Green and Beautiful...
- H Health and Medicine How to Calm Your Nerves? Expert Tips That Actually Work...
- O Other What is a Disk Emulsifier and How Does it Work?...
- S Sport How to Pump Your Chest Muscle? Secrets of Training...
- C Computers and Internet How to Get Rid of 3pic Infector: Everything You Need to Know...
- S Style and Beauty How to Grow Hair Faster: Real Methods and Advice...
Answers on questions: Physics
- M Mathematics Why is domain (input) and range (output) important when defining a function?...
- H History Foreign-born resident who has not become a citizen...
- A Advanced Placement (AP) Which situation does not demonstrate an ulterior motive? a) kim found a lost dog and tried to find the owner in hopes of a cash reward. b) cliff shows up to work because...
Ответ:
Option d (T₁ > T₂ > T₃) correctly describes the tension in the three rope system.
Let's evaluate each tension.
Case T₃.
For the system to be in equilibrium, the algebraic sum of the tension force (T) and the weight (W) must be equal to zero. The minus sign of W is because it is in the opposite direction of T.
Since W₃ = mg, where m is for mass and g is for the acceleration due to gravity, we have:
(1) Case T₂.
(2)
By entering W₂ = 2mg and equation (1) into eq (2) we have:
Case T₁.
(3)
Knowing that W₁ = 3mg and T₂ = 3mg, eq (3) is:
Therefore, the correct option is d: T₁ > T₂ > T₃.
Learn more about tension and weight forces here:
I hope it helps you!
Ответ:
Correct D.
First, we must construct the Equations of Equilibrium for each mass based on Newton's Laws of Motion, then we solve the resulting system for every Tension force:
Mass m:
(1)
Mass 2m:
(2)
Mass 3m:
(3)
The solution of this system is: , and , which means that . (Correct D.)
Ответ: