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Define moment of a force - Junior Cycle Science - Question c - 2007

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Define moment of a force. The diagram shows a metre stick suspended from its centre of gravity. A force of 3 N acts on the stick at the 90 cm mark and a force of F ... show full transcript

Worked Solution & Example Answer:Define moment of a force - Junior Cycle Science - Question c - 2007

Step 1

Define moment of a force.

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Answer

The moment of a force, also known as the turning effect or turning power, is defined as the product of the force and the distance from the fulcrum. Mathematically, it can be expressed as:

Moment=Force×Distance from fulcrum\text{Moment} = \text{Force} \times \text{Distance from fulcrum}

Where the units are usually in Newton-meters (Nm).

Step 2

Calculate force F.

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To calculate the force F that balances the moment on the metre stick, we can use the principle of moments where the sum of moments around the fulcrum must be zero.

Applying the formula:

30 cm×F=40 cm×3 N30 \text{ cm} \times F = 40 \text{ cm} \times 3 \text{ N}

Now, simplifying:

F=40 cm×3 N30 cmF = \frac{40 \text{ cm} \times 3 \text{ N}}{30 \text{ cm}}

Calculating gives:

F=120 N cm30 cm=4 NF = \frac{120 \text{ N cm}}{30 \text{ cm}} = 4 \text{ N}

Thus, the force F is 4 N.

Step 3

Give an everyday example of an application of the lever.

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An everyday example of an application of a lever is a spanner used to loosen or tighten a nut.

In this case, the fulcrum is located at the point where the spanner contacts the nut, while the force is applied at the end of the spanner handle to rotate the nut.

Labelled Diagram:

  • Fulcrum: The point of rotation (e.g., the point of contact with the nut).
  • Force: The downward pressure applied at the end of the handle.
  • Handle: The arm of the lever used to apply force.

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