Centres of Mass (AQA A-Level Mathematics): Quizzes

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Centres of Mass
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What is the mass of the metal lever in the given problem?

55 kg

At what angle to the vertical is the lever held?

30°30°

How is the lever modelled in this problem?

Uniform rod

For a uniform rod of length 1.51.5 m, what is the distance from one end to its centre of mass?

0.750.75 m

What is the perpendicular component of the weight when resolved in Method 1?

5gsin⁡(30°)5g \sin(30°)

In Method 2, what is the perpendicular distance of weight from pivot PP?

0.75sin⁡(30°)0.75 \sin(30°)

What is the approximate value of force FF calculated in the problem?

14.1514.15 N

What are the equilibrium conditions for forces mentioned in the tips?

∑Fx=0\sum F_x = 0, ∑Fy=0\sum F_y = 0

According to the tips, what is the friction formula?

F=μNF = \mu N

Why is the base often chosen as the pivot point when taking moments about a ladder?

Forces pass through, eliminating them

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