Spring Mass system Proof

Spring Mass system Proof

Assessment

Interactive Video

Physics, Science

University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains the derivation of the equation of motion for a spring-mass system. It begins with a free body diagram and applies Newton's second law to derive a second-order differential equation. The solution involves complex numbers and the superposition theorem, leading to a generalized solution. The tutorial simplifies the solution using trigonometric identities and introduces the concept of natural angular frequency, highlighting its importance in undamped systems.

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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary focus when setting up the spring-mass system for analysis?

Determining the mass of the block

Identifying the equilibrium position

Calculating the spring constant

Measuring the gravitational force

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which law is used to determine the spring force in the spring-mass system?

Ohm's law

Newton's first law

Hooke's law

Coulomb's law

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What assumption is made about the floor in the spring-mass system?

It is sticky

It is inclined

It is frictionless

It is rough

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of equation is derived for the spring-mass system's motion?

First-order differential equation

Second-order differential equation

Algebraic equation

Quadratic equation

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical method is used to solve the differential equation for the spring-mass system?

Integration by parts

Guessing a solution

Partial fraction decomposition

Laplace transform

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of numbers are involved in the solution of the differential equation?

Real numbers

Complex numbers

Rational numbers

Irrational numbers

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which theorem is applied to find the generalized solution of the differential equation?

Binomial theorem

Superposition theorem

Pythagorean theorem

Fundamental theorem of calculus

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