UPSC Exam > UPSC Questions > 3.11 A spring-mass system, resting on an incl...
Start Learning for Free
3.11 A spring-mass system, resting on an inclined plane, is subjected to a harmonic force
as shown in Figure. Find the response of the system by assuming zero initial conditions?
as shown in Figure. Find the response of the system by assuming zero initial conditions?
Most Upvoted Answer
3.11 A spring-mass system, resting on an inclined plane, is subjected ...
Analysis of a Spring-Mass System on an Inclined Plane
To analyze the response of a spring-mass system on an inclined plane subjected to a harmonic force, we can follow these steps:
Step 1: Free Body Diagram
- Draw a free body diagram of the system showing all the forces acting on the mass.
- Identify the forces such as the gravitational force, normal force, frictional force, and the spring force.
Step 2: Equations of Motion
- Write the equations of motion for the system using Newton's second law.
- Resolve the forces in the direction parallel and perpendicular to the inclined plane.
Step 3: Harmonic Force
- Express the harmonic force in terms of its amplitude and frequency.
- Consider the direction of the harmonic force and its effect on the motion of the mass.
Step 4: Solution of Equations
- Solve the differential equations obtained in step 2 by assuming zero initial conditions.
- Determine the response of the system in terms of displacement, velocity, and acceleration as functions of time.
Step 5: Analysis of Response
- Analyze the response of the system to the harmonic force.
- Identify the natural frequency of the system and compare it to the frequency of the harmonic force to determine resonance conditions.
By following these steps, we can analyze the response of a spring-mass system on an inclined plane subjected to a harmonic force and understand how the system behaves under such conditions.
To analyze the response of a spring-mass system on an inclined plane subjected to a harmonic force, we can follow these steps:
Step 1: Free Body Diagram
- Draw a free body diagram of the system showing all the forces acting on the mass.
- Identify the forces such as the gravitational force, normal force, frictional force, and the spring force.
Step 2: Equations of Motion
- Write the equations of motion for the system using Newton's second law.
- Resolve the forces in the direction parallel and perpendicular to the inclined plane.
Step 3: Harmonic Force
- Express the harmonic force in terms of its amplitude and frequency.
- Consider the direction of the harmonic force and its effect on the motion of the mass.
Step 4: Solution of Equations
- Solve the differential equations obtained in step 2 by assuming zero initial conditions.
- Determine the response of the system in terms of displacement, velocity, and acceleration as functions of time.
Step 5: Analysis of Response
- Analyze the response of the system to the harmonic force.
- Identify the natural frequency of the system and compare it to the frequency of the harmonic force to determine resonance conditions.
By following these steps, we can analyze the response of a spring-mass system on an inclined plane subjected to a harmonic force and understand how the system behaves under such conditions.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
3.11 A spring-mass system, resting on an inclined plane, is subjected to a harmonic force as shown in Figure. Find the response of the system by assuming zero initial conditions?
Question Description
3.11 A spring-mass system, resting on an inclined plane, is subjected to a harmonic force as shown in Figure. Find the response of the system by assuming zero initial conditions? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 3.11 A spring-mass system, resting on an inclined plane, is subjected to a harmonic force as shown in Figure. Find the response of the system by assuming zero initial conditions? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3.11 A spring-mass system, resting on an inclined plane, is subjected to a harmonic force as shown in Figure. Find the response of the system by assuming zero initial conditions?.
3.11 A spring-mass system, resting on an inclined plane, is subjected to a harmonic force as shown in Figure. Find the response of the system by assuming zero initial conditions? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 3.11 A spring-mass system, resting on an inclined plane, is subjected to a harmonic force as shown in Figure. Find the response of the system by assuming zero initial conditions? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3.11 A spring-mass system, resting on an inclined plane, is subjected to a harmonic force as shown in Figure. Find the response of the system by assuming zero initial conditions?.
Solutions for 3.11 A spring-mass system, resting on an inclined plane, is subjected to a harmonic force as shown in Figure. Find the response of the system by assuming zero initial conditions? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of 3.11 A spring-mass system, resting on an inclined plane, is subjected to a harmonic force as shown in Figure. Find the response of the system by assuming zero initial conditions? defined & explained in the simplest way possible. Besides giving the explanation of
3.11 A spring-mass system, resting on an inclined plane, is subjected to a harmonic force as shown in Figure. Find the response of the system by assuming zero initial conditions?, a detailed solution for 3.11 A spring-mass system, resting on an inclined plane, is subjected to a harmonic force as shown in Figure. Find the response of the system by assuming zero initial conditions? has been provided alongside types of 3.11 A spring-mass system, resting on an inclined plane, is subjected to a harmonic force as shown in Figure. Find the response of the system by assuming zero initial conditions? theory, EduRev gives you an
ample number of questions to practice 3.11 A spring-mass system, resting on an inclined plane, is subjected to a harmonic force as shown in Figure. Find the response of the system by assuming zero initial conditions? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC 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