Question

Consider the normal force on a book at rest on a table top. If the table is tilted so that the surface
forms an inclined plane, will the magnitude of the normal force change? Defend your answer​

Answer 1

Yes, The magnitude of normal force change if the table is tilted so that the surface forms an inclined plane.

Given:

The normal force of a book at rest on a tabletop is N.

To Find:

Will the magnitude of normal force change when the table is tilted by an angle?

Solution:

Yes, The magnitude of normal force change

• The normal force is the contact force between two surfaces that acts perpendicular to the surface.
• So, when the surface is tilted by an angle then the normal also changes.

The normal force on a book at rest on a tabletop (i.e θ = 0°)

N₁ = mg    (∵ cos0° = 1 )

If the table is tilted by an angle θ then,

N₂ = mgcosθ

N₁/N₂ =1/cosθ

N₂ = N₁cosθ

Therefore, The magnitude of normal force change if the table is tilted so that the surface forms an inclined plane.

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