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A beam is in equilibrium with two forces acting on it: a 50 N force acting downwards and a 30 N force acting upwards. Calculate the resultant moment about the pivot point if the distance from the pivot to the 50 N force is 2 m and to the 30 N force is 1 m.

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Question

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exam_style

Style

Topic

Force, energy and momentum

Exam-style question

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A beam is in equilibrium with two forces acting on it: a 50 N force acting downwards and a 30 N force acting upwards. Calculate the resultant moment about the pivot point if the distance from the pivot to the 50 N force is 2 m and to the 30 N force is 1 m.

Model answer

What a good answer should say

  • The resultant moment about the pivot is 40 Nm in the clockwise direction.

Explanation

Why this works

This question tests the application of the principle of moments in equilibrium problems. The calculation involves determining the moments caused by each force and finding the resultant moment.

The formula for moment is M = F × d, where F is the force and d is the distance from the pivot.

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