The relay switch consists of a thin metal strip or

Chapter 12, Problem 12-97

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QUESTION:

The relay switch consists of a thin metal strip or armature AB that is made of red brass C83400 and is attracted to the solenoid S by a magnetic field. Determine the smallest force F required to attract the armature at C in order that contact is made at the free end B. Also, what should the distance a be for this to occur? The armature is fixed at A and has a moment of inertia of \(I=0.18\left(10^{-12}\right) \mathrm{m}^{4}\).

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QUESTION:

The relay switch consists of a thin metal strip or armature AB that is made of red brass C83400 and is attracted to the solenoid S by a magnetic field. Determine the smallest force F required to attract the armature at C in order that contact is made at the free end B. Also, what should the distance a be for this to occur? The armature is fixed at A and has a moment of inertia of \(I=0.18\left(10^{-12}\right) \mathrm{m}^{4}\).

ANSWER:

Problem 12-97The relay switch consists of a thin metal strip or armature AB that is made of red brass C83400and is attracted to the solenoid S by a magnetic field. Determine the smallest force F required toattract the armature at C in order that contact is made at the free end B. Also, what should thedistance a be for this to occur The armature is fixed at A and has a moment of inertia of I = -120.18(10 ) m4. Step-by-step solution Step 1 of 3 ^The system can be modelled as cantilever beam with point load F acting at mid-span, since thebeam is attracted by solenoid at C.Draw the schematic of the diagram as shown in the following figure:

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