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Hooke's law

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A project by my students last year (2011-2012)

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Hooke's law

  1. 1. Christine Mae M. Lagumbay Roxan M. Bahingawan Ernalyn Sanico Norjamela Ali Hanna Grace Dayak
  2. 2. Hookes law of elasticity is an approximation that states that the extension of a spring is in direct proportion with  the load applied to it. Many materials obey this law as  long as the load does not exceed the materials elastic  limit. Materials for which Hookes law is a useful approximation are known as linear-elastic or "Hookean" materials. Hookes law in simple terms says that strain is  directly proportional to stress.
  3. 3. F= -kxx  is  the  displacement  of  the  springs  end  from  its  equilibrium   position   S.I  unit  is  meters F  is  the  restoring  force  exerted  by  the  spring  on  that  end S.I  unit  is  N  or  kg.m/s2  k  is  a  constant  called  the  rate  or  spring constant S.I  unit  N/m or kg/s2The negative sign indicates that the force exerted by the spring is in  direct opposition to the direction of displacement.
  4. 4. Hookes law is named after the 17th century British physicist Robert Hooke. He first stated this law in 1660 as a Latin anagram, whose solution he published in 1678 as Uttensio, sic vis, meaning, "As the extension, so the force".
  5. 5. What is the force required to stretch a spring whoseconstant value is 100 N/m by an amount of 0.50 m? Using the formula F=kx solve the question F=force(N) k=force constant(N/m) x=stretch or compression(m) F=-(100N/m)(0.50m) F=-50 N
  6. 6. When a 13.2-kg mass is placed on top of a vertical spring,the spring compresses 5.93 cm. Find the force constant of the spring. Using Hookes Law: F = -kx Derivation: -k= F/x F=force(N) k=force constant(N/m) x=stretch or compression(m) 5.93cmx1m/100cm -k = F/x =0.0593m = (13.2x9.8)(0.0593m) k = -2181 N/m
  7. 7. THANK YOU FOR WATCHING God bless you!

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