Skip to content

Course home

Sign up

2 Unit AS 2: Applied Mathematics

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282
Question 244

A heavy promotional banner of mass MMM kg is suspended from two fixed points, PPP and QQQ, on a horizontal stadium roof beam by two light, inextensible cables. The shorter cable, attached at PPP, has a length of 5.05.05.0 m. The longer cable, attached at QQQ, has a length of 8.08.08.0 m. The banner is in equilibrium at a point OOO, which is exactly 3.03.03.0 m vertically below the level of the roof beam.

a.

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

[3]
b.

Given that the tension in the longer cable is 120120120 N, calculate the value of MMM, giving your answer to two significant figures. (Use g=9.8 ms−2g = 9.8 \text{ ms}^{-2}g=9.8 ms−2).

[4]
Markscheme

2 Unit AS 2: Applied Mathematics Questions

  1. A Level
  2. /Maths
  3. /2 Unit AS 2: Applied Mathematics

Question bank