Centres of mass

WME02Topic 2.22 questions

Centres of mass of particles, laminas and frameworks, including suspended bodies.

Specification points

Specification points for this topic are coming soon.

Get a plain-language explanation, a worked example and the usual mistake.

Sign in to get a plain-language explanation of any specification point.

Original practice questions written in the style of the exam.

4

)

(\bar{x}, \bar{y})

M1 Moments:

44\bar{x} = 48 \times 4 - 4 \times 6

(1)

A1

\bar{x} = \tfrac{42}{11} = 3.82\,\text{cm}

(1)

A1

\bar{y} = \dfrac{48 \times 3 - 4 \times 4}{44} = \tfrac{32}{11} = 2.91\,\text{cm}

(1)

(b) M1 The centre of mass lies vertically below

A

, so

\tan\theta = \dfrac{\bar{y}}{\bar{x}}

(1)

A1

\theta = 37.3^\circ

(1)