Skip to content

Course home

3.4 Moments (A-level only)

3.4 Moments (A-level only)

EasyMediumHard
1234567891011121314151617181920212223242526272829303132
Question 28

A uniform steel gantry AB AB\,AB has a length of 9 m and a mass of 2.4 kg. A heavy equipment crate of weight 4W newtons4W\text{ newtons}4W newtons is attached to the gantry at end AAA, and a secondary load of weight W newtonsW\text{ newtons}W newtons is attached at end BBB.

The gantry is held in horizontal equilibrium by a single vertical support cable attached at a point z metresz\text{ metres}z metres from end AAA.

Show that

z=9W+10.8g5W+2.4g z = \frac{9W + 10.8g}{5W + 2.4g} z=5W+2.4g9W+10.8g​
[4]
Markscheme

3.4 Moments (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.4 Moments (A-level only)

53 exam-style questions on OCR A Level Maths 3.4 Moments (A-level only), covering 3.4.1 Moment of a force (A-level only), 3.4.2 Equilibrium of a rigid body (A-level only), and 3.4.3 Moments in static contexts (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank