A uniform steel beam of mass M M\,M kilograms and length 2a 2a\,2a metres is held in a horizontal position of equilibrium by two supports at the points A A\,A and BBB.
A A\,A is a distance y y\,y metres from the left-hand end of the beam, and B B\,B is a distance (y+0.24)(y + 0.24)(y+0.24) metres from the right-hand end.
The magnitude of the normal reaction on the beam at B B\,B is four times the magnitude of the normal reaction on the beam at AAA.
Show that a−y=ca - y = ca−y=c, where c c\,c is a constant to be determined.
136 exam-style questions on CCEA A Level Maths 2.3 Forces and Newton's laws, covering 2.3.1 Forces and Newton's laws, 2.3.2 Forces and Newton's laws, 2.3.3 Forces and Newton's laws, 2.3.4 Forces and Newton's laws, 2.3.5 Forces and Newton's laws, 2.3.6 Forces and Newton's laws, 2.3.7 Forces and Newton's laws, 2.3.8 Forces and Newton's laws, 2.3.9 Forces and Newton's laws, 2.3.10 Forces and Newton's laws, 2.3.11 Forces and Newton's laws, 2.3.12 Forces and Newton's laws, and 2.3 Forces and Newton's laws. Each one has a worked solution and a mark scheme showing where the marks go.