Mechanical Engineering Exam > Mechanical Engineering Questions > When two springs of equal lengths are arrange...
Start Learning for Free
When two springs of equal lengths are arranged to form cluster springs which of the following statements are the:
1. Angle of twist in both the springs will be equal
2. Deflection of both the springs will be equal
3. Load taken by each spring will be half the total load
4. Shear stress in each spring will be equal
- a)1 and 2 only
- b)2 and 3 only
- c)3 and 4 only
- d)1, 2 and 4 only
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
When two springs of equal lengths are arranged to form cluster springs...
To understand why the correct answer is option 'A', let's analyze each statement one by one:
1. Angle of twist in both the springs will be equal:
When two springs of equal lengths are arranged to form a cluster, the angle of twist in both springs will be equal. This is because the cluster springs are connected in series, meaning that they share the same load and are subjected to the same torque. Therefore, the angle of twist in each spring will be equal.
2. Deflection of both the springs will be equal:
The deflection of each spring is determined by the load it carries and its stiffness. In a cluster spring arrangement, the load is shared between the two springs, and since they are of equal lengths and stiffness, the deflection of both springs will be equal.
3. Load taken by each spring will be half the total load:
In a cluster spring arrangement, the load is shared between the individual springs. Since the springs are connected in series, they experience the same load. Therefore, each spring will carry an equal portion of the total load. So, the load taken by each spring will indeed be half of the total load.
4. Shear stress in each spring will be equal:
The shear stress in a spring is directly proportional to the applied torque and inversely proportional to the polar moment of inertia of the spring. In a cluster spring arrangement, the springs are connected in series and experience the same torque. Additionally, since the springs are of equal lengths and diameters, they will have the same polar moment of inertia. Therefore, the shear stress in each spring will be equal.
Based on the above analysis, we can conclude that statements 1 and 2 are true, while statements 3 and 4 are also true. Hence, the correct answer is option 'A' - 1 and 2 only.
1. Angle of twist in both the springs will be equal:
When two springs of equal lengths are arranged to form a cluster, the angle of twist in both springs will be equal. This is because the cluster springs are connected in series, meaning that they share the same load and are subjected to the same torque. Therefore, the angle of twist in each spring will be equal.
2. Deflection of both the springs will be equal:
The deflection of each spring is determined by the load it carries and its stiffness. In a cluster spring arrangement, the load is shared between the two springs, and since they are of equal lengths and stiffness, the deflection of both springs will be equal.
3. Load taken by each spring will be half the total load:
In a cluster spring arrangement, the load is shared between the individual springs. Since the springs are connected in series, they experience the same load. Therefore, each spring will carry an equal portion of the total load. So, the load taken by each spring will indeed be half of the total load.
4. Shear stress in each spring will be equal:
The shear stress in a spring is directly proportional to the applied torque and inversely proportional to the polar moment of inertia of the spring. In a cluster spring arrangement, the springs are connected in series and experience the same torque. Additionally, since the springs are of equal lengths and diameters, they will have the same polar moment of inertia. Therefore, the shear stress in each spring will be equal.
Based on the above analysis, we can conclude that statements 1 and 2 are true, while statements 3 and 4 are also true. Hence, the correct answer is option 'A' - 1 and 2 only.
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
When two springs of equal lengths are arranged to form cluster springs which of the following statements are the:1. Angle of twist in both the springs will be equal2. Deflection of both the springs will be equal3. Load taken by each spring will be half the total load4. Shear stress in each spring will be equala)1 and 2 onlyb)2 and 3 onlyc)3 and 4 onlyd)1, 2 and 4 onlyCorrect answer is option 'A'. Can you explain this answer?
Question Description
When two springs of equal lengths are arranged to form cluster springs which of the following statements are the:1. Angle of twist in both the springs will be equal2. Deflection of both the springs will be equal3. Load taken by each spring will be half the total load4. Shear stress in each spring will be equala)1 and 2 onlyb)2 and 3 onlyc)3 and 4 onlyd)1, 2 and 4 onlyCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about When two springs of equal lengths are arranged to form cluster springs which of the following statements are the:1. Angle of twist in both the springs will be equal2. Deflection of both the springs will be equal3. Load taken by each spring will be half the total load4. Shear stress in each spring will be equala)1 and 2 onlyb)2 and 3 onlyc)3 and 4 onlyd)1, 2 and 4 onlyCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When two springs of equal lengths are arranged to form cluster springs which of the following statements are the:1. Angle of twist in both the springs will be equal2. Deflection of both the springs will be equal3. Load taken by each spring will be half the total load4. Shear stress in each spring will be equala)1 and 2 onlyb)2 and 3 onlyc)3 and 4 onlyd)1, 2 and 4 onlyCorrect answer is option 'A'. Can you explain this answer?.
When two springs of equal lengths are arranged to form cluster springs which of the following statements are the:1. Angle of twist in both the springs will be equal2. Deflection of both the springs will be equal3. Load taken by each spring will be half the total load4. Shear stress in each spring will be equala)1 and 2 onlyb)2 and 3 onlyc)3 and 4 onlyd)1, 2 and 4 onlyCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about When two springs of equal lengths are arranged to form cluster springs which of the following statements are the:1. Angle of twist in both the springs will be equal2. Deflection of both the springs will be equal3. Load taken by each spring will be half the total load4. Shear stress in each spring will be equala)1 and 2 onlyb)2 and 3 onlyc)3 and 4 onlyd)1, 2 and 4 onlyCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When two springs of equal lengths are arranged to form cluster springs which of the following statements are the:1. Angle of twist in both the springs will be equal2. Deflection of both the springs will be equal3. Load taken by each spring will be half the total load4. Shear stress in each spring will be equala)1 and 2 onlyb)2 and 3 onlyc)3 and 4 onlyd)1, 2 and 4 onlyCorrect answer is option 'A'. Can you explain this answer?.
Solutions for When two springs of equal lengths are arranged to form cluster springs which of the following statements are the:1. Angle of twist in both the springs will be equal2. Deflection of both the springs will be equal3. Load taken by each spring will be half the total load4. Shear stress in each spring will be equala)1 and 2 onlyb)2 and 3 onlyc)3 and 4 onlyd)1, 2 and 4 onlyCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of When two springs of equal lengths are arranged to form cluster springs which of the following statements are the:1. Angle of twist in both the springs will be equal2. Deflection of both the springs will be equal3. Load taken by each spring will be half the total load4. Shear stress in each spring will be equala)1 and 2 onlyb)2 and 3 onlyc)3 and 4 onlyd)1, 2 and 4 onlyCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
When two springs of equal lengths are arranged to form cluster springs which of the following statements are the:1. Angle of twist in both the springs will be equal2. Deflection of both the springs will be equal3. Load taken by each spring will be half the total load4. Shear stress in each spring will be equala)1 and 2 onlyb)2 and 3 onlyc)3 and 4 onlyd)1, 2 and 4 onlyCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for When two springs of equal lengths are arranged to form cluster springs which of the following statements are the:1. Angle of twist in both the springs will be equal2. Deflection of both the springs will be equal3. Load taken by each spring will be half the total load4. Shear stress in each spring will be equala)1 and 2 onlyb)2 and 3 onlyc)3 and 4 onlyd)1, 2 and 4 onlyCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of When two springs of equal lengths are arranged to form cluster springs which of the following statements are the:1. Angle of twist in both the springs will be equal2. Deflection of both the springs will be equal3. Load taken by each spring will be half the total load4. Shear stress in each spring will be equala)1 and 2 onlyb)2 and 3 onlyc)3 and 4 onlyd)1, 2 and 4 onlyCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice When two springs of equal lengths are arranged to form cluster springs which of the following statements are the:1. Angle of twist in both the springs will be equal2. Deflection of both the springs will be equal3. Load taken by each spring will be half the total load4. Shear stress in each spring will be equala)1 and 2 onlyb)2 and 3 onlyc)3 and 4 onlyd)1, 2 and 4 onlyCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup