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Strategies for solving equilibrium questions

Strategies for solving equilibrium questions. Conditions of equilibrium: sum of F = 0N ie F up = F down sum of Moments = 0 ie sum of CWM = sum of ACWM. Conditions of equilibrium: both of these conditions must be satisfied if an object is to be in equilibrium. eg Q5 Set 17

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Strategies for solving equilibrium questions

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  1. Strategies for solving equilibrium questions

  2. Conditions of equilibrium:sum ofF = 0Nie Fup = Fdownsum of Moments = 0iesum of CWM = sum of ACWM

  3. Conditions of equilibrium:both of these conditions must be satisfied if an object is to be in equilibrium.

  4. eg Q5 Set 17 Draw a diagram that includes all known data (ie masses, forces and dimensions.)

  5. eg Q5 Set 17 Draw a diagram that includes all known data (ie masses, forces and dimensions.)

  6. eg Q5 Set 17 Determine the clockwise (ie the father) and anticlockwise (ie the daughter) moments.

  7. eg Q5 Set 17 Calculate all moments, and determine if CWM = ACWM (ie is the system in equilibrium).

  8. CWM = Fr = 65 x 9.8 x 1.6 = 1019.2Nm CW ACWM = Fr = 24 x 9.8 x 2.5 = 588Nm ACW

  9. Since the CWM are greater than the ACWM by (1019.2-588) ie 431.2Nm CW an additional 431.2Nm ACWM are required to balance the see-saw.

  10. This additional moment is provided by the brother sitting 0.5m in front of the sister.

  11. The brother must provide the additional ACWM ie (his mass x 9.8 x 2) = 431.2Nm ACW

  12. (his mass x 9.8 x 2) = 431.2Nm ACW ie his mass is 431.2/19.6 = 22kg

  13. Q8 Set 17

  14. Q8 Set 17

  15. Q8 Set 17

  16. Q8 Set 17

  17. Q8 Set 17

  18. Q8 Set 17

  19. Q8 Set 17 ACWM = 25 x 9.8 x 0.55 = 134.75Nm ACW CWM = 0.3 x F = ACWM = 134.75Nm therefore F = 134.75/0.3 = 449.2N F = mg = 449.2N = m x 9.8 therefore m = 449.2/9.8 = 45.8kg

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