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m1 = 10 kg; m2 = 1 kg; both blocks slide on frictionless surfaces. The block m2 is attached to a spring that is fixed on the block of m1. So, m1 carries k2 to move and m2 vibrates on the top surface of m1. The block m1 vibrates with spring k1. The spring k1 = 5 N/m, k2 = 1 N/m. (v1) =0,(v2) =0.1 m/s and x1 = 0.1 m, x2 = - 0.05 m

a. Use LaGrange method to find motion response equation.

b. Find the modes of this system: by using the determinant method introduced in lecture

c. Use MATLAB to display the motion response

2. (30 points) m1 = 10 kg; m2 = 1 kg; both blocks slide on frictionless surfaces. The block m2 is attached to a spring that is fixed on the block of m1. So, m1 carries k2 to move and m2 vibrates on the top surface of m1. The block m1 vibrates with spring k1. The spring k1 = 5 N/m, k2 = 1 N/m. v1 = 0, v2 = 0.1 m/s and x1 = 0.1 m, x2 = -0.05 m 1) Use LaGrange method to find motion response equation. 2) Find the modes of this system: by using determinant method introduced in the lecture 3) Use MATLAB to display the motion response 4) 2) extra credits 5 pts: Use SolidWorks to build motion study to show the vibrations each disc: two displacement vs time plots k2 m2 Move together k1 ww m 1 2. (30 points) m1 = 10 kg; m2 = 1 kg; both blocks slide on frictionless surfaces. The block m2 is attached to a spring that is fixed on the block of m1. So, m1 carries k2 to move and m2 vibrates on the top surface of m1. The block m1 vibrates with spring k1. The spring k1 = 5 N/m, k2 = 1 N/m. v1 = 0, v2 = 0.1 m/s and x1 = 0.1 m, x2 = -0.05 m 1) Use LaGrange method to find motion response equation. 2) Find the modes of this system: by using determinant method introduced in the lecture 3) Use MATLAB to display the motion response 4) 2) extra credits 5 pts: Use SolidWorks to build motion study to show the vibrations each disc: two displacement vs time plots k2 m2 Move together k1 ww m 1