- #1
hihiip201
- 170
- 0
1. Homework Statement
B, K, M
2. Homework Equations
1. xs(t) -----spring ----mass-----damper-----fixed, derive DE for x of mass
given :2. F - > M -----spring-------damper ---- fixed in series, derive the DE for velocity of spring
3. The Attempt at a Solution
1. ma = -k(x-xs) - B(v)
But I don't understand, why aren't we taking the natural length of the spring into account?
2. no idea, I have the solution and it says that damping force is B(v(t) - vk) , but I have no idea what v has anything to do with damper, the relative velocity vb should just be vk - 0 to me but the textbook and the homework solution suggest otherwise.
B, K, M
2. Homework Equations
1. xs(t) -----spring ----mass-----damper-----fixed, derive DE for x of mass
given :2. F - > M -----spring-------damper ---- fixed in series, derive the DE for velocity of spring
3. The Attempt at a Solution
1. ma = -k(x-xs) - B(v)
But I don't understand, why aren't we taking the natural length of the spring into account?
2. no idea, I have the solution and it says that damping force is B(v(t) - vk) , but I have no idea what v has anything to do with damper, the relative velocity vb should just be vk - 0 to me but the textbook and the homework solution suggest otherwise.