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Mechanics and Materials

Scalars and vectors

  • 5 things to know
  • Papers 1 and 3

Overview

Adding and resolving vectors, and forces in equilibrium on an inclined plane.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

How is the magnitude of a resultant found, and why does Pythagoras apply?

Numbers

How is the direction of a resultant found, and into how many components can a vector be resolved?

Numbers

How is a vector resolved at an angle, and what acts on a mass on an inclined plane?

Key term

What condition must be satisfied for an object to be in equilibrium?

Key term

Can an object moving at constant velocity be in equilibrium, and why?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What defines a scalar quantity?

    Model answer

    A scalar is a quantity that has magnitude only.

  2. 2

    What two properties must a vector quantity possess?

    Model answer

    A vector has both magnitude and direction.

  3. 3

    Classify speed and velocity as scalar or vector quantities.

    Model answer

    Speed is a scalar quantity; velocity is a vector quantity.

  4. 4

    Why is velocity considered a vector while speed is not?

    Model answer

    Velocity includes direction as well as magnitude, whereas speed has magnitude only.

  5. 5

    State whether distance is a scalar or a vector.

    Model answer

    Distance is a scalar quantity.

  6. 6

    State whether displacement is a scalar or a vector.

    Model answer

    Displacement is a vector quantity.

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AP = 4πr²σT⁴.
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CP₁/P₂ = (r₁²/r₂²) × (T₁⁴/T₂⁴).

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