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Mechanics

Example to illustrate the use of rule ii)

The diagram below represents a uniform beam which is in equilibrium. The block resting on the beam has a mass of 2kg. Calculate the magnitude of the force .

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(Fsin50) × 25 = (2 × 9·8) × 50

F = 51·17 N

Example to illustrate the use of rule iii)

The object in the diagram below has a mass of 40kg. Calculate the magnitudes of the tensions (T1 and T2) in the strings.

The forces acting on the mass are in equilibrium horizontally.

Therefore, considering magnitudes only, we can write

T1cos60 = T2cos10

The forces acting on the mass are also in equilibrium vertically.

Therefore, considering magnitudes only, we can write

T1cos30 + T2cos80 = mg

These two equations can be used to find T1 and T2.

 

© David Hoult 2008