Question

In: Physics

Fill in the blanks in the problem with the 1 or 2 digit numbers from above:...

Fill in the blanks in the problem with the 1 or 2 digit numbers from above:

A mass of ______ kg is attached to a spring, and stretches it by _____ cm.

The mass is then pulled to a distance of ______ ?? below the spring’s equilibrium length, and given a downward velocity of ________ ?/? .

Note: you may assume normal Earth gravity (g=9.8 m/s2 ) and that the spring is undamped.

1) What is the spring constant?

2)a) Write a differential equation that models the motion of the mass.

b) Solve the differential equation. YOU MAY USE MATLAB

d) What are the amplitude and period of motion of the spring?

3) Suppose now that the mass driven by an eternal force of ?(?) = sin( t / ? + 1 ). Repeat parts (a) and (b) of question

Solutions

Expert Solution

THE DEFINITION AND THE DETAILED PROBLEMS ARE ALL DONE IN THE ATTACHED IMAGE FILES

genius_generous answered 2 years ago
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