Waec Model Questions Vol1 2020 Physics Question 4

Practice essay / theory question 4 from the 2020 Waec Model Questions Vol1 Physics examination. This question covers forces, equilibrium, friction, vector resolution .

Waec Model Questions Vol1 2020 Physics Essay / Theory
Topics: forces equilibrium friction vector resolution
Question 4 WAEC_MODEL_QUESTIONS_VOL1 • 2020 • PHYSICS • essay
Waec Model Questions Vol1 2020 Physics Question 4 diagram

A 5.0 kg block rests on a rough inclined plane that makes an angle of 30° with the horizontal. The coefficient of static friction between the block and the plane is 0.20. The block is acted upon by the following forces: - Its weight \(W = mg\). - A normal reaction \(N\) from the plane. - A tension \(T = 30 N\) in a light rope that pulls the block up the plane at an angle of 20° above the plane. - A horizontal push \(P\) applied to the block at an angle of 40° above the horizontal. - A frictional force \(f\) that opposes any tendency of motion. The force diagram for the situation is shown in the accompanying diagram. Answer the following questions:

Question Parts

( a )
Resolve the tension \(T\) into components parallel and perpendicular to the inclined plane. State the magnitude and direction of each component.
( b )
Write the two equilibrium equations (parallel to the plane and perpendicular to the plane) for the block, showing all forces involved.
( c )
Using \(\mu_s = 0.20\) and \(T = 30 N\), determine the magnitude of the horizontal push \(P\) required to keep the block in equilibrium. State clearly the direction of \(P\) with respect to the assumed positive direction.
( d )
Briefly discuss how increasing the inclination of the plane to 45° would affect the magnitude of the required horizontal push \(P\).

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About This Question

This is Waec Model Questions Vol1 2020 Physics Question 4. It is one of the essay questions from the 2020 Waec Model Questions Vol1 Physics examination.

The question covers forces, equilibrium, friction, vector resolution .

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