1. The problem statement, all variables and given/known data A 1.2-kg collar C may slide without friction along a horizontal rod. It is attached to three springs, each of constant k 5 400 N/m and 150-mm undeformed length. Knowing that the collar is released from rest in the position shown, determine the maximum speed it will reach in the ensuing motion. The position shown shows the collar C on a horizontal rod. There are three springs attached to it at the same point on the collar. Spring 1 is attached from the collar straight down to a pin at 150 mm below the collar (undeformed). Spring 2 is attached to another pin connection 150 mm below the collar and 150 mm to the left of the collar (45-45-90 triangle). And finally Spring 3 is attached 150 mm below the collar and 300 mm to the left of it. 2. Relevant equations E = KE + PE + U PE of a spring = 1/2kΔx2 Ei = Ef 3. The attempt at a solution First find the deformed length of the springs. Spring 3: l = √((.15m)2 + (.3m)2) l = 0.3354 m Δx3 = 0.3354m - 0.15m Δx3 = 0.1854m Spring 2: l = √((.15m)2 + (.15m)2) l = 0.21213 m Δx2 = 0.21213m - 0.15m Δx2 = 0.06213m Spring 1: Undeformed Δx = 0m now Ei = PE (from the deformed springs, no KE or U) Ei = 1/2k1(Δx1)1 + 1/2k2(Δx2)2 + 1/2k3(Δx3)3 Ei = 1/2(400N/m)(0m)2 + 1/2(400N/m)(0.06213m)2 + 1/2(400N/m)(0.1854m)2 Ei = 7.6459J From the Law of Conservation of Energy Ei = Ef and velocity will be max when there is no spring potential energy restricting the collar and only KE. Ef = 1/2mv2 7.6459J = 1/2(1.2kg)v2 3.57 m/s = v That is the answer I got however the answer in the book is v = 3.19 m/s I'm guessing one of the springs will still no matter what restrict some movement? I'm not sure what else to do on this one.