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A bicycle can be steered by applying a pair of equal but opposite forces to the handlebars, which act as a lever - Leaving Cert Physics - Question a - 2015

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A bicycle can be steered by applying a pair of equal but opposite forces to the handlebars, which act as a lever. (i) What is meant by the term 'lever'? (ii) What ... show full transcript

Worked Solution & Example Answer:A bicycle can be steered by applying a pair of equal but opposite forces to the handlebars, which act as a lever - Leaving Cert Physics - Question a - 2015

Step 1

What is meant by the term 'lever'?

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Answer

A lever is a rigid body that is free to rotate around a point called the fulcrum. It allows for the transmission and amplification of force, enabling a smaller force to be applied over a longer distance, resulting in a greater overall effect.

Step 2

What is the name given to the turning effect of a force?

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Answer

The turning effect of a force is called moment or torque. It can be defined as the product of the force and the perpendicular distance from the line of action of the force to the pivot point.

Step 3

What is the name given to a pair of equal but opposite forces?

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Answer

A pair of equal but opposite forces is referred to as a couple. This configuration produces rotation without translation, as the forces cancel each other out.

Step 4

Calculate the turning effect of the force.

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Answer

Given that the distance between the cyclist's hands is 40 cm (0.4 m) and each hand applies a force of 20 N, we can calculate the moment (M) as follows:

M=FimesdM = F imes d

Where:

  • F is the total force applied, taking into account both hands: F=20extN+20extN=40extNF = 20 ext{ N} + 20 ext{ N} = 40 ext{ N}
  • d is the distance: d=0.4extmd = 0.4 ext{ m}

Substituting the values, we get:

M=40extNimes0.4extm=16extNmM = 40 ext{ N} imes 0.4 ext{ m} = 16 ext{ Nm}

Thus, the turning effect of the force is 16 Nm.

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