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4.2 Moments (A-level only)

Question 4

A uniform rod $AB\,$ of length $2a\,$ metres and weight $W\,$ newtons is freely hinged to a fixed point at $A$ .

The rod is held in equilibrium at an angle of $30°\,$ above the horizontal by a horizontal force of magnitude $P\,$ newtons applied to the rod at $B$ , in the vertical plane containing the rod.

Figure for question 8

Show that $P=32W\displaystyle P = \frac{\sqrt{3}}{2}W$ .

[4]

Find, in terms of $W$ , the magnitude of the force exerted by the hinge on the rod at $A$ .

[3]

Markscheme

4.2 Moments (A-level only) Questions

A Level
Maths
4.2 Moments (A-level only)

56 exam-style questions on CCEA A Level Maths 4.2 Moments (A-level only), covering 4.2.1 Moments (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

4.2 Moments (A-level only)

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4.2 Moments (A-level only)

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Question 4

A uniform rod $AB\,$ of length $2a\,$ metres and weight $W\,$ newtons is freely hinged to a fixed point at $A$ .

The rod is held in equilibrium at an angle of $30°\,$ above the horizontal by a horizontal force of magnitude $P\,$ newtons applied to the rod at $B$ , in the vertical plane containing the rod.

Figure for question 8

Show that $P=32W\displaystyle P = \frac{\sqrt{3}}{2}W$ .

[4]

Find, in terms of $W$ , the magnitude of the force exerted by the hinge on the rod at $A$ .

[3]

Markscheme

4.2 Moments (A-level only) Questions

A Level
Maths
4.2 Moments (A-level only)

56 exam-style questions on CCEA A Level Maths 4.2 Moments (A-level only), covering 4.2.1 Moments (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.