Define the moment of a force. The diagram shows a crane in equilibrium. Give one condition that is necessary for the crane to be in equilibrium. What is the moment of the 9000 N concrete slab about the axis of the crane? Calculate the value of the load marked X. A crane is an example of a lever. Give another example of a lever.

Leaving Cert Physics Pressure, Gravity & Moments: Define the moment of a force. Th

Define the moment of a force - Leaving Cert Physics - Question a - 2006

Question a

Define the moment of a force. The diagram shows a crane in equilibrium. Give one condition that is necessary for the crane to be in equilibrium. What is the moment ... show full transcript

Worked Solution & Example Answer:Define the moment of a force - Leaving Cert Physics - Question a - 2006

Step 1

Define the moment of a force.

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Answer

The moment of a force is defined as the product of the force and the perpendicular distance from the line of action of the force to the pivot point. Mathematically, it can be represented as:

$ext{Moment} = ext{Force} imes ext{Distance}$

Step 2

Give one condition that is necessary for the crane to be in equilibrium.

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Answer

One necessary condition for the crane to be in equilibrium is that the clockwise moments about the pivot must equal the anticlockwise moments. This ensures that there is no net moment acting on the crane.

Step 3

What is the moment of the 9000 N concrete slab about the axis of the crane?

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Answer

The moment of the 9000 N concrete slab about the axis can be calculated as:

$ext{Moment} = ext{Force} imes ext{Distance} = 9000 ext{ N} imes 10 ext{ m} = 90000 ext{ Nm}$

Step 4

Calculate the value of the load marked X.

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Answer

Using the principle of moments, we can set the sum of clockwise moments equal to the sum of anticlockwise moments:

$90000 ext{ Nm} = X imes 30 ext{ m}$

Solving for X gives:

$X = rac{90000 ext{ Nm}}{30 ext{ m}} = 3000 ext{ N}$

Step 5

A crane is an example of a lever. Give another example of a lever.

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Answer

Another example of a lever is a crowbar, which is used to lift heavy objects with less effort.

Define the moment of a force - Leaving Cert Physics - Question a - 2006

Worked Solution & Example Answer:Define the moment of a force - Leaving Cert Physics - Question a - 2006

Define the moment of a force.

Give one condition that is necessary for the crane to be in equilibrium.

What is the moment of the 9000 N concrete slab about the axis of the crane?

Calculate the value of the load marked X.

A crane is an example of a lever. Give another example of a lever.

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