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Analyzing


Physics Form 4
Forces in Equilibrium

. remains stationary (if        • The principle of the
the object is stationary)         forces in equilibrium
• (ii) moves at a constant        states,
  velocity ( if the object is   • “When forces act upon
  moving)                         an object , the object is
                                  said to be in a state of
                                  equilibrium when the
                                  resulting force acting on
                                  the object is zero (no
                                  net force acting upon it)
                                  ”
Examples Forces in Equilibrium




Weight = Normal reaction    Buoyant force = Weight




                           Weight = Normal reaction
   Weight = Tension
Examples Forces in Equilibrium




                                      Weight = Lifting force
  Weight = Normal reaction
Pulling force = Frictional force   Driving force = Dragging force
Resultant force

     Force is a vector quantity and
     hence it has magnitude and
     direction.
     Two or more forces which act on
     an object can be combined into a
     single force called the resultant
     force.
     If two forces are in same line, we
     simply add the forces if both pull or
     push together; subtract them if
     one is in the opposite direction
Two Forces in Equilibrium



       P + Q=0
           P =-Q
Three Forces in Equilibrium
      P




Q
          R
3 forces in balance
Triangle method
Parallelogram method
Two forces of 40N and 60 N act at 600 to each other at a point as represented
below




 1. Choose a scale
  Suppose we let 2cm represent 10N. Then an 8cm line represents the
  40N force and a 12cm line represents the 60N force. Draw these lines
  with a 600 angle between them:
2. Complete the parallelogram
3. Draw the diagonal from the point of
       application of the forces




   The diagonal labelled R represents the resultant force - measure this and
   convert its length to newtons:Diagonal R = 17.4cm, so the resultant force R
   = (17.4/2)*10 = 87N
   4. Measure a suitable angle:
   The angle A = 230.
   Thus, the resultant of the two original forces is a force of size 87N acting at
   230 to the 60N force
Resolution of forces
• is an angle between the force F to the horizontal line
•the sign of the force depend on the quadrant where the force , F is placed




                                                                              Fx = F cos 
                                                                              Fy = F sin 




   A force can be resolved into two components, that is,
    (i)          the horizontal component, Fx and
   (ii)          the vertical component , Fy
Inclined plane

           A = W sin 
           B = W cos 
example
Find the values of Px and Py for the following figures.
Figure shows a stationary wooden block of
mass 50 g which is placed on a inclined plane
that is at an angle of 40o to the horizontal.
What is the magnitude of the weight parallel
to the inclined plane

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Analyzing forces in equilibrium

  • 2.
  • 3. Forces in Equilibrium . remains stationary (if • The principle of the the object is stationary) forces in equilibrium • (ii) moves at a constant states, velocity ( if the object is • “When forces act upon moving) an object , the object is said to be in a state of equilibrium when the resulting force acting on the object is zero (no net force acting upon it) ”
  • 4.
  • 5.
  • 6. Examples Forces in Equilibrium Weight = Normal reaction Buoyant force = Weight Weight = Normal reaction Weight = Tension
  • 7. Examples Forces in Equilibrium Weight = Lifting force Weight = Normal reaction Pulling force = Frictional force Driving force = Dragging force
  • 8. Resultant force Force is a vector quantity and hence it has magnitude and direction. Two or more forces which act on an object can be combined into a single force called the resultant force. If two forces are in same line, we simply add the forces if both pull or push together; subtract them if one is in the opposite direction
  • 9.
  • 10. Two Forces in Equilibrium P + Q=0 P =-Q
  • 11. Three Forces in Equilibrium P Q R
  • 12. 3 forces in balance
  • 13.
  • 15.
  • 16. Parallelogram method Two forces of 40N and 60 N act at 600 to each other at a point as represented below 1. Choose a scale Suppose we let 2cm represent 10N. Then an 8cm line represents the 40N force and a 12cm line represents the 60N force. Draw these lines with a 600 angle between them:
  • 17. 2. Complete the parallelogram
  • 18. 3. Draw the diagonal from the point of application of the forces The diagonal labelled R represents the resultant force - measure this and convert its length to newtons:Diagonal R = 17.4cm, so the resultant force R = (17.4/2)*10 = 87N 4. Measure a suitable angle: The angle A = 230. Thus, the resultant of the two original forces is a force of size 87N acting at 230 to the 60N force
  • 19.
  • 20. Resolution of forces • is an angle between the force F to the horizontal line •the sign of the force depend on the quadrant where the force , F is placed Fx = F cos  Fy = F sin  A force can be resolved into two components, that is, (i) the horizontal component, Fx and (ii) the vertical component , Fy
  • 21. Inclined plane A = W sin  B = W cos 
  • 22. example Find the values of Px and Py for the following figures.
  • 23. Figure shows a stationary wooden block of mass 50 g which is placed on a inclined plane that is at an angle of 40o to the horizontal. What is the magnitude of the weight parallel to the inclined plane