Application of springs in instruments: in a spring balance, what is the primary function performed by the spring?
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Ato apply forces
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Bto measure forces
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Cto absorb shocks
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Dto store strain energy
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Eto maintain constant torque
Answer
Correct Answer: to measure forces
Explanation
Introduction / Context:Springs are versatile machine elements used to apply load, absorb energy, control motion, or sense force. A spring balance is a classic device where a spring’s deflection is used as a measure of an applied load.
Given Data / Assumptions:
- Linear elastic behavior of the spring within its working range.
- Deflection is proportional to applied load (Hooke’s law).
- Scale calibrated to convert deflection into force units.
Concept / Approach:Hooke’s law states F = k * x, where k is the spring stiffness and x is the deflection. In a spring balance, the measured deflection is mapped through calibration to indicate the magnitude of the applied force or weight.
Step-by-Step Solution:
Apply load to the spring; the spring elongates by x.The internal restoring force equals k * x in equilibrium with the applied load.The scale converts x into a force reading, thereby measuring the force.Verification / Alternative check:Recalibration with known weights yields linear scale marks if the spring behaves linearly.
Why Other Options Are Wrong:“To apply forces”: Springs can apply preload, but in a balance the key role is measurement.“To absorb shocks”: That is a suspension spring function, not the primary purpose here.“To store strain energy”: True physically, but the device’s purpose is to measure force via deflection.“Constant torque” applies to spiral springs in some instruments, not a generic spring balance.
Common Pitfalls:Ignoring creep or nonlinearity; neglecting temperature effects on stiffness for precision balances.
Final Answer:
to measure forces