Scalars and vectors
 

Scalars and vectors problem 3


  • Force is a vector quantity. State three other vector quantities.


  • Three coplanar forces X, Y and Z act on an object, as shown in the figure below




    The force Z is vertical and X is horizontal. The force Y is at an angle θ to the horizontal. The force Z is kept constant at .


    In an experiment, the magnitude of force X is varied. The magnitude and direction of force Y are adjusted so that the object remains in equilibrium.


    The figure below shows the variation of the magnitude of force Y with the magnitude of force X.




    • Use the Figure to estimate the magnitude of Y for .


    • State and explain the value of θ for .


    • The magnitude of X is increased to . Use the resolution of forces to calculate the value of

      • angle θ


      • the magnitude of force Y


  • The angle θ decreases as X increases. Explain why the object cannot be in equilibrium for .


 

main author and content editor: Noble Menedi Firima