CFDFEAGURU said:Mass one looks good but mass two is off. What happened to your third spring ?
CFDFEAGURU said:Also, draw yourself a free body diagram.
CFDFEAGURU said:There are only two equations, but you need to include the third spring. If the masses are going to move springs 1,2, and 3 have to move with them.
Simple harmonic motion refers to the back-and-forth movement of an object that follows a specific pattern, where the object's acceleration is directly proportional to its displacement from a central equilibrium point.
Matrices are often used in simple harmonic motion problems because they allow for the representation of multiple variables and their relationships in a concise and organized manner. The use of matrices can also simplify the calculations involved in solving these problems.
The matrix for a simple harmonic motion problem typically includes variables such as mass, spring constant, displacement, velocity, and acceleration. These variables are represented as columns in the matrix, and the equations for each variable are represented as rows. The coefficients of each variable in the equations are then placed in the corresponding column in the matrix.
To solve a simple harmonic motion problem using matrices, the matrix is first set up with the appropriate variables and equations. Then, the matrix is manipulated using algebraic operations to isolate the desired variable. Finally, the values for the remaining variables are substituted into the equations to obtain the solution.
Using matrices in simple harmonic motion problems can help organize and simplify the calculations involved. They also allow for the representation of multiple variables and their relationships in a concise manner. Additionally, matrices can be used to solve more complex problems that involve multiple equations and variables, making them a useful tool for scientists and engineers.