Skip to content

Course home

Applications of Forces

Applications of Forces

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115
Question 46

A plank, ABABAB, of length 2 m and mass M M\,M kg, is at rest with A A\,A against a rough vertical wall. The plank is held in a horizontal position by a rope attached to B B\,B and to the vertical wall at the point CCC. A small block of mass 2M 2M\,2M is placed on the plank at P P\,P where AP=1.5AP = 1.5AP=1.5 m. The angle between the rope and the plank is α\alphaα, where tan⁡α=34\displaystyle \tan \alpha = \frac{3}{4}tanα=43​. The plank is modelled as a uniform rod, the block is modelled as a particle and the rope is modelled as a light inextensible string.

A horizontal plank AB rests against a vertical wall at A, with a block at P, a rope from B to C on the wall, and dimensions 2 m and 1.5 m marked.

a.

Find, in terms of MMM, the tension in the string BCBCBC.

[3]
b.

Find the direction of the force exerted on the plank at AAA.

[5]
Markscheme

Applications of Forces Questions

  1. A Level
  2. /Maths
  3. /Applications of Forces

130 exam-style questions on Edexcel A Level Maths Applications of Forces, covering 7.1 Static Particles, 7.2 Modelling with Statics, 7.3 Friction and Static Particles, 7.4 Static Rigid Bodies, 7.5 Dynamics and Inclined Planes, and 7.6 Connected Particles 2. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank