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Hooke's law - Quiz
Hooke s law
  • 1. What does Hooke's law state regarding the relationship between force and spring extension?
A) Force is proportional to the square of the distance.
B) Force is inversely proportional to distance.
C) Force scales linearly with distance.
D) Force is independent of the distance.
  • 2. Who is the law named after?
A) James Prescott Joule
B) Albert Einstein
C) Robert Hooke
D) Isaac Newton
  • 3. In what year was the solution to Hooke's Latin anagram published?
A) 1676
B) 1660
C) 1678
D) 1687
  • 4. What is the mathematical expression for Hooke's law (Fs = kx) where k is the stiffness?
A) Fs = k + x
B) Fs = x/k
C) Fs = kx
D) Fs = k/x
  • 5. What represents the stiffness of a spring in Hooke's law?
A) x
B) F
C) m
D) k
  • 6. Which of these devices relies on Hooke's law as a fundamental principle?
A) Transistor
B) Battery
C) Manometer
D) Capacitor
  • 7. When does Hooke's law fail?
A) When forces exceed a certain limit.
B) When the force is zero.
C) At very low temperatures.
D) When the distance is zero.
  • 8. What is the term for a material that obeys Hooke's law?
A) Hookean
B) Pascalian
C) Einsteinian
D) Newtonian
  • 9. In the equation Fs = -kx, what does the negative sign represent?
A) The spring is losing energy.
B) The force is reducing over time.
C) The restoring force is opposite to the displacement.
D) The spring constant is negative.
  • 10. What is the torsional analog of Hooke's law?
A) τ = θ/k
B) τ = k/θ
C) τ = -kθ
D) τ = kθ²
  • 11. What are the units of torque (τ) in the torsional Hooke's law?
A) Newton-meters (N·m)
B) Watts (W)
C) Newtons (N)
D) Joules (J)
  • 12. What is the potential energy stored in a spring?
A) U = 1/2k/x²
B) U = 1/2kx²
C) U = kx²
D) U = kx
  • 13. For a harmonic oscillator, what is the frequency of oscillation?
A) f = (1/2π) * sqrt(k/m)
B) f = 2π * sqrt(k/m)
C) f = (1/2π) * sqrt(m/k)
D) f = 2π * sqrt(m/k)
  • 14. In the general tensor form of Hooke's law, what connects the force and displacement vectors?
A) A fourth-order tensor
B) A second-order tensor
C) A scalar constant
D) A vector constant
  • 15. Which material is cited as a 'non-Hookean' material?
A) Rubber
B) Aluminum
C) Steel
D) Concrete
  • 16. In the context of continuous media, what is the stiffness tensor (c) usually?
A) A scalar value
B) A first-order tensor
C) A second-order tensor
D) A fourth-order tensor
  • 17. What is the unit of pressure used in SI units for stress?
A) Meters (m)
B) Pascals (Pa)
C) Newtons (N)
D) Joules (J)
  • 18. What does the compliance tensor (s) represent?
A) The sum of the stiffness tensor
B) The square of the stiffness tensor
C) The derivative of the stiffness tensor
D) The inverse of the stiffness tensor
  • 19. How many independent elastic coefficients exist for an orthorhombic crystal?
A) 5
B) 21
C) 9
D) 3
  • 20. What do the Lamé constants λ and μ describe?
A) Properties of rubber only
B) Properties of isotropic materials
C) Temperature in a system
D) Mass of a spring
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