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2.3.8 Forces and Newton's laws

Question 3

A heavy promotional banner of mass $M$ kg is suspended from two fixed points, $P$ and $Q$ , on a horizontal stadium roof beam by two light, inextensible cables. The shorter cable, attached at $P$ , has a length of $5.0$ m. The longer cable, attached at $Q$ , has a length of $8.0$ m. The banner is in equilibrium at a point $O$ , which is exactly $3.0$ m vertically below the level of the roof beam.

Show that the tension in the shorter cable is approximately $16%16\%$ greater than the tension in the longer cable.

[3]

Given that the tension in the longer cable is $120$ N, calculate the value of $M$ , giving your answer to two significant figures. (Use $\text{ ms}^{-2}$ ).

[4]

Markscheme

2.3.8 Forces and Newton's laws Questions

A Level
Maths
2.3.8 Forces and Newton's laws

7 exam-style questions on CCEA A Level Maths 2.3.8 Forces and Newton's laws. Each one has a worked solution and a mark scheme showing where the marks go.

2.3.8 Forces and Newton's laws

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2.3.8 Forces and Newton's laws

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Question 3

Show that the tension in the shorter cable is approximately $16%16\%$ greater than the tension in the longer cable.

[3]

Given that the tension in the longer cable is $120$ N, calculate the value of $M$ , giving your answer to two significant figures. (Use $\text{ ms}^{-2}$ ).

[4]

Markscheme

2.3.8 Forces and Newton's laws Questions

A Level
Maths
2.3.8 Forces and Newton's laws

7 exam-style questions on CCEA A Level Maths 2.3.8 Forces and Newton's laws. Each one has a worked solution and a mark scheme showing where the marks go.