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MOMENTS Noadswood Science, 2013
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MOMENTS Noadswood Science, 2013. MOMENTS To be able to calculate moments Wednesday, May 20, 2015.

Dec 18, 2015

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Page 1: MOMENTS Noadswood Science, 2013. MOMENTS To be able to calculate moments Wednesday, May 20, 2015.

MOMENTS

Noadswood Science, 2013

Page 2: MOMENTS Noadswood Science, 2013. MOMENTS To be able to calculate moments Wednesday, May 20, 2015.

MOMENTS

To be able to calculate moments

Tuesday, April 18, 2023

Page 3: MOMENTS Noadswood Science, 2013. MOMENTS To be able to calculate moments Wednesday, May 20, 2015.

MOMENTS Forces can make objects turn if there is a pivot

Think of a see-saw – when no-one is on it, the see-saw is level, but when someone sits on the end it tips

The see-saw can be balanced again if someone sits on the other end

Pivot

Page 4: MOMENTS Noadswood Science, 2013. MOMENTS To be able to calculate moments Wednesday, May 20, 2015.

MOMENTS To work out moments we need to know: -

The force (weight) applied The distance from the pivot where the force is

applied

Moment (Nm) = Force (N) x Distance (m)

Pivot

Page 5: MOMENTS Noadswood Science, 2013. MOMENTS To be able to calculate moments Wednesday, May 20, 2015.

MOMENTS

Force(F)

Moment(M)

Distance(D)

Force = Moment Distance Distance = Moment Force Moment = Force x Distance

To work out moments we need to know: - The force (weight) applied The distance from the pivot where the force is applied

Distance = perpendicular distance, r

Page 6: MOMENTS Noadswood Science, 2013. MOMENTS To be able to calculate moments Wednesday, May 20, 2015.

BALANCED Complete the moments

worksheet

Page 7: MOMENTS Noadswood Science, 2013. MOMENTS To be able to calculate moments Wednesday, May 20, 2015.

MOMENTS

600N 300N

2m 2m

Anticlockwise moment = 600N x 2m = 1200Nm Clockwise moment = 300N x 2m = 600Nm Not balanced – anticlockwise moment

Clockwisemoment

Anticlockwisemoment

Page 8: MOMENTS Noadswood Science, 2013. MOMENTS To be able to calculate moments Wednesday, May 20, 2015.

MOMENTS

500N 250N

1m 2m

Anticlockwise moment = 500N x 1m = 500Nm Clockwise moment = 250N x 2m = 500Nm Balanced!

Clockwisemoment

Anticlockwisemoment

Page 9: MOMENTS Noadswood Science, 2013. MOMENTS To be able to calculate moments Wednesday, May 20, 2015.

MOMENTS

100N 700N

5m 3m

Anticlockwise moment = 100N x 5m = 500Nm Clockwise moment = 700N x 3m = 2100Nm Not balanced – clockwise moment

Clockwisemoment

Anticlockwisemoment

Page 10: MOMENTS Noadswood Science, 2013. MOMENTS To be able to calculate moments Wednesday, May 20, 2015.

MOMENTS

300N 450N

3m 2.5m

Anticlockwise moment = 300N x 3m = 900Nm Clockwise moment = 450N x 2.5m = 1125Nm Not balanced – clockwise moment

Clockwisemoment

Anticlockwisemoment

Page 11: MOMENTS Noadswood Science, 2013. MOMENTS To be able to calculate moments Wednesday, May 20, 2015.

BALANCING EXPERIMENT Balance a ruler on a pivot Add a mass at the end of the ruler Your task is to balance the ruler again, by adding 2x

masses to the other side Record the distance where they were placed

Now move your original mass, and repeat the experiment, recording your results

Page 12: MOMENTS Noadswood Science, 2013. MOMENTS To be able to calculate moments Wednesday, May 20, 2015.

RESULTS

Force Distance from pivot

Moment Force Distance from pivot

Moment

1 2

1 2

1 2

1 2

1 2Moment (Nm) = Force (N) x Distance (m)

Page 13: MOMENTS Noadswood Science, 2013. MOMENTS To be able to calculate moments Wednesday, May 20, 2015.

CRANES Why don’t construction cranes fall over?

Cranes have a concrete counterweight on the short arm, balancing the crane when it lifts a heavy load

Page 14: MOMENTS Noadswood Science, 2013. MOMENTS To be able to calculate moments Wednesday, May 20, 2015.

CRANES Counterweights balance the crane

load armtrolley

loading platform

tower

counterweight

Page 15: MOMENTS Noadswood Science, 2013. MOMENTS To be able to calculate moments Wednesday, May 20, 2015.

CRANE OPERATOR

Page 16: MOMENTS Noadswood Science, 2013. MOMENTS To be able to calculate moments Wednesday, May 20, 2015.

MOMENTS Complete the moments higher worksheet…

1. A cross on the point of contact between the screwdriver and the rim of the paint tin (not the end of the screwdriver)

2. Move his hand further from the tin to increase the distance from the pivot, hence increasing the moment, or apply a bigger force (or both)

3. 0.10m x 35N = 3.5Nm

Page 17: MOMENTS Noadswood Science, 2013. MOMENTS To be able to calculate moments Wednesday, May 20, 2015.

MOMENTS

4. (10N x 2m) + (2N x 0.5m) – (35N x 1m) = -14Nm

There will be an anti-clockwise acceleration

5. See diagram below…