A-level · Moments

Moments of forcesExam-style questions

The moment (turning effect) of a force as force × perpendicular distance from the pivot, measured clockwise or anticlockwise, in newton-metres — including forces acting at an angle to a rod.

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23 questions · A-level level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 2 Level 3 Level 4 Level 5

1
A force of $20$ N acts at the end of a rod $3$ m long, at $30^\circ$ to the rod. Find its moment about the other end.
Level 3 · 2 marksTry it
2
A rod is pivoted at a point $O$ . A $10$ N force acts downward $2$ m to the left of $O$ , and a $5$ N force acts downward $3$ m to the right. Find the magnitude and sense of the resultant moment about $O$ .
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3
A force of $40$ N acts at the end of a rod $2$ m long, at $60^\circ$ to the rod. Find its moment about the other end, to 3 s.f.
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4
A light rod is pivoted at its centre. A $12$ N force acts downward $1.5$ m from the pivot on one side. Find the force $F$ that must act downward $2$ m from the pivot on the other side to balance the rod.
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5
A rod $AB$ is pivoted at $A$ . A force of $30$ N acts downward at the point $2$ m from $A$ , and a force of $20$ N acts at $B$ ( $4$ m from $A$ ) at $40^\circ$ to the rod, both turning it clockwise. Find the total clockwise moment about $A$ , to 3 s.f.
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