Solid Mechanics IV
Assignment 1 Answers
Year 2025
0027 63 985 5033
,
, PREVIEW
1.1. The system exhibits free undamped vibration because:
a. Free vibration: There is no impact or any external force
b. Undamped: No damping elements (e.g dashpots) are included in the model
1.2. Using Newton’s Second Law the forces on each mass are;
a. Mass 𝑚1
𝑚1 𝑥̈ 1 = −𝑘𝑥1 + 𝑘(𝑥2 − 𝑥1 )
2𝑥̈ 1 = −120𝑥1 + 120(𝑥2 − 𝑥1 )
2𝑥̈ 1 = −240𝑥1 + 120𝑥2
Assignment 1 Answers
Year 2025
0027 63 985 5033
,
, PREVIEW
1.1. The system exhibits free undamped vibration because:
a. Free vibration: There is no impact or any external force
b. Undamped: No damping elements (e.g dashpots) are included in the model
1.2. Using Newton’s Second Law the forces on each mass are;
a. Mass 𝑚1
𝑚1 𝑥̈ 1 = −𝑘𝑥1 + 𝑘(𝑥2 − 𝑥1 )
2𝑥̈ 1 = −120𝑥1 + 120(𝑥2 − 𝑥1 )
2𝑥̈ 1 = −240𝑥1 + 120𝑥2
