Centres of Mass (Edexcel A-Level Mathematics): Flashcards

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Centres of Mass
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What is the formula for weight in mechanics?

Weight = mass × gravity (W=m×gW = m \times g)

What angle is the lever held at to the vertical?

The lever is held at an angle of 3030 degrees.

How is the force FF applied to the lever described?

The force FF is horizontal and applied at the lever's end.

Which direction are the clockwise moments taken as positive?

Clockwise moments are taken as positive about the pivot.

What is the formula to find the value of FF?

F=49.3 N⋅sin⁡(30°)⋅0.75cos⁡(30°)⋅1.5F = \frac{49.3 \text{ N} \cdot \sin(30°) \cdot 0.75}{\cos(30°) \cdot 1.5}

How do you calculate force using mass and acceleration?

F=mass×accelerationF = \text{mass} \times \text{acceleration} (F=m×aF = m \times a)

Why are free body diagrams important in mechanics?

They visualise forces to aid in solving motion problems.

What forces should be considered in a free body diagram?

Weight, normal reaction, and friction forces.

What equilibrium conditions are applied to solve unknowns?

Sum of horizontal and vertical forces must equal zero.

How should friction be treated in equilibrium problems?

Friction must prevent slipping while acting against forces.

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