As shown below a mass compresses a spring from distance B to A. Spring force pushes the mass to the right until it reaches node B at which point the mass is released from the spring. Create a model...

Extracted text: As shown below a mass compresses a spring from distance B to A. Spring force pushes the mass to the right until it reaches node B at which point the mass is released from the spring. Create a model that investigates motion of the mass upon release. From A to B the mass is subject to positive work due to spring force and negative work due to kinetic friction. From B to C kinetic friction is the only work. U = T2-T1 if the mass is moving. The box stops moving when work equals zero. Model inputs are k, m, s, µs and uk. Apply the metric system. Write general equations as follows. Provide a FBD for A to B, and one for B to C. 1. Determine if the mass moves at all by comparing initial spring force to static friction. 2. If the spring does cause motion, determine initial acceleration. 3. Determine total work done by the spring force and friction from A to B. a. Determine maximum velocity (it happens at location of maximum work). b. If the work is negative, determine L (the location that the mass stops moving). c. If the work is positive, determine velocity at node B.


Extracted text: (75 KB) 4. If the work is positive from node A to B, the mass travels beyond node B. Determine L. For a mass of 2 kg, k = 500 N/m, µs = 0.6 and uk = 0.5, investigate each of the following conditions. i. S = 20 mm ii. S = 30 mm ii. S = 60 mm Hs HK |B