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©Modeling Instruction - AMTA 2013
Guidelines to solving Statics Problems:
Guidelines to solving Statics Problems:
List forces with direction and magnitude.
Determine x and y components of each force.
Calculate the sum of forces in x and y directions.
Using Pythagorus, determine magnitude of resultant.
Using Tangent function, determine angle of resultant
Determine equilibrant (180˚ to the resultant.)
- Hanging a Sign
A 100 N sign is to be suspended by two cables. Determine the tension in each cable for the given angles…
Scenario A
Left: 90˚. Right: 90˚
Scenario B
Left: 0˚. Right: 45˚
Scenario C
Left: 60˚, Right: 30˚
2. Three random forces
2. Three random forces
Three forces act on a point: 3 N at 0°, 4 N at 110°, and 5 N at 220°.
What is the net force?
What fourth force will put the point in equilibrium
3. Crate on a Ramp
3. Crate on a Ramp
A 100 kg wooden crate rests on a wooden ramp with an adjustable angle of inclination.
Draw a free body diagram of the crate.
If the angle of the ramp is set to 10°, determine…
the component of the crate's weight that is perpendicular to the ramp
the component of the crate's weight that is parallel to the ramp
the normal force between the crate and the ramp
the static friction force between the crate and the ramp
The coefficient of friction (µs ) is 0.28, at what angle will the crate just begin to slip?
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