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Question 339 of 367 in Forces and Motion

THE TURNING EFFECT OF FORCES

2 marks · Normal
DiagramForce (N)Distance from pivot (m)Angle to lever arm (°)
A400.290
B600.10
C800.0590
D1000.0190

Look at the table showing different forces applied to a door at various distances and angles from the hinge (pivot).

Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.

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A shows the greatest turning effect (moment); B shows zero turning effect.

Also accept: A is greatest; B is zero; Maximum moment: A; zero moment: B

Common mistakes: Only looking at largest force, not considering distance or angle.

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Marking points

B1 · 1 mark · Correctly identifies Diagram A as showing the greatest moment.

B2 · 1 mark · Correctly identifies Diagram B as showing zero moment (angle 0°).

Worked solution

Moment = Force × Distance × sin(angle). For A, 40 × 0.2 × sin(90°) = 8 Nm. For B, angle is 0°, sin(0°) = 0 so there is no moment. A is the maximum, B is zero.

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