A uniform ladder AB of length 21 a and the end 8 on a roueh horirontal
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Answer Q3
Transcribed Image Text:3.
(a)
A uniform ladder AB of length 21 and weight f' rests with the end 4 against a smooth vertical wall
and the end B on a rough horizontal ground. Given that the coeflicient of friction between the ladder
and the ground is, and that the ladder makes an angle ofo with the horizontal:
(i)
Show that tan 0 =1.
(ii) Find how far up the ladder a man of weight, # can climb without the ladder slipping.
(b)
Two forces F, and F, act at points with position vectors r, and r, respectively, where
F, = (i-2j-k)N, r; = (-i+5j+3k)m
F, = (i-2j+ 3k)N, = (2ì-j+ 4k)m
Show that the line of action of F, and F, intersect and find the position vectorof thre pojit of intersecn
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