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 frictio From B to C kinetic friction is the only work. U = T2-T1 if the mass is moving. The box stop 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 frictien frem A to R

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 frictio From B to C kinetic friction is the only work. U = T2-T1 if the mass is moving. The box stop 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 frictien frem A to R

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

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.

(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

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