Mathematics · Oct / Nov 2025 · Paper 51 · Question 1
YMA01
As printed in the paper
The question as text
1. 2 m x m A C D B 8 m Figure 1 Figure 1 shows a sketch of a beam AB, with weight 240 N and length 8 m. The beam is held in equilibrium in a horizontal position by two vertical ropes. The ropes are attached to the beam at the points C and D, where AC = 2 m and DB = x metres. The beam is modelled as a uniform rod and the ropes are modelled as light inextensible strings. The tension in the rope at D is 90 N.
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
1(a)[3]
M(C)
(
)
240 2
×=
6
−
x
×
90
2
x =
*
3
1(b)[4]
M(D)
10
22
16
×
+
×
=
×
240
W
183
3
3
3
(W = ) 24
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