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Moment of Forces Worksheet

The document is a worksheet on moments (torque) with multiple calculation problems involving forces applied at distances from pivots or fulcrums. It provides definitions of moment, principles of moments, and sample problems calculating moments in situations like doors, seesaws, rules, cranes, and more. The worksheet aims to help students practice calculating and applying the concept of moment (torque).

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jessica
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6K views4 pages

Moment of Forces Worksheet

The document is a worksheet on moments (torque) with multiple calculation problems involving forces applied at distances from pivots or fulcrums. It provides definitions of moment, principles of moments, and sample problems calculating moments in situations like doors, seesaws, rules, cranes, and more. The worksheet aims to help students practice calculating and applying the concept of moment (torque).

Uploaded by

jessica
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Moments of force worksheet

The turning effect or moment of a force is dependent on both the size of the force and how far
it is applied from the pivot or fulcrum.
1. A force of 15 N is applied to a door handle, 12 cm from the pivot. Calculate the
moment of the force.
2. A force of 40 N is applied to a spanner to turn a nut. The perpendicular distance is 30
cm. Calculate the moment of the force.
3. A parent and child are at opposite ends of a playground see-saw. The parent weighs
750 N and the child weighs 250 N. The child sits 2.4 m from the pivot. Calculate the
distance the parent must sit from the pivot for the see-saw to be balanced.
4. How far is the 10 N weight from the pivot?

5. A parent and child are at opposite sides of a playground see-saw. The parent sits 0.8 m
from the pivot. The child sits 2.4 m from the pivot and weighs 250 N. Calculate the
weight of the parent if the see-saw is balanced.
6. Calculate the moment of force about point O in the following cases:

1
7. Calculate the moment of the force about the point in each case

(a) (b)

13 m
20 N 5m

3N
2m

The Principle of Moments states:


When an object or body is in equilibrium the sum of the clockwise moments about any point
equals the sum of the anticlockwise moments about the same point.

8. The see-saw balances when Susan (320 N) sits at A, Tom, weighing 540 N, sits at B and
Harry, weighing W, sits at C. Find W.

9. The diagram below shows 2 half-metre rules that are marked off at 5cm intervals and
IDENTICAL metal discs are placed on the rules as shown.
In each case state whether the rules will turn anticlockwise, clockwise or remain in the
horizontal position.
SHOW YOUR WORKING

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10. The metre rule in the diagram below is supported at its centre.

If the rule is balanced, the respective values of x and y are:


A 3cm (x) 5cm (y) B 5cm (x) 3cm (y)
C 6cm (x) 10cm (y) D 12cm (x) 20cm (y)
Show your working and give your answers in Ncm.
11. In the diagrams below the distance AC = CB.

Calculate in both cases the force X which is keeping the system stationary.
12. What must m be so it balances?

WORK
13. A crane does work of 13,500 J with a force of 5200 N to lift a beam. How far can the
beam be lifted (in meters)?
14. When 142 J of work is done in pushing a box horizontally 13.3 m, calculate amount of
force applied.
15. A sailor pulls a boat along a dock using a rope at an angle of 60.0° with the horizontal.
How much work does the sailor do if he exerts a force of 255 N on the rope and pulls
the boat 3.00 m?
16. A girl pulls a wagon along a level path for a distance of 44 m. The handle of the wagon
makes an angle of 22° above horizontal. If she pulls on the handle with a force of 87 N,
how much work is done?

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TORQUE
17. Calculate torque in each case.
a) b) c)

d) e) f)

18.

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