-2m- C 2am D 30 N B -6m Figure 2 A wooden beam AB has weight 140 N and length 2a metres. The beam rests horizontally in equilibrium on two supports at C and D, where AC = 2m and AD=6m. A block of weight 30 N is placed on the beam at B and the beam remains horizontal and in equilibrium, as shown in Figure 2. The reaction on the beam at D has magnitude 120 N. The block is modelled as a particle and the beam is modelled as a uniform rod. (a) Find the value of a. (4) The support at D is now moved to a point E on the beam and the beam remains horizontal and in equilibrium with the block at B. The magnitude of the reaction on the beam at C is now equal to the magnitude of the reaction on the beam at E. (b) Find the distance AE.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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-2m-
C
2am
D
30 N
B
-6m
Figure 2
A wooden beam AB has weight 140 N and length 2a metres. The beam rests horizontally in
equilibrium on two supports at C and D, where AC = 2m and AD=6m. A block of weight
30 N is placed on the beam at B and the beam remains horizontal and in equilibrium, as
shown in Figure 2. The reaction on the beam at D has magnitude 120 N. The block is
modelled as a particle and the beam is modelled as a uniform rod.
(a) Find the value of a.
(4)
The support at D is now moved to a point E on the beam and the beam remains horizontal
and in equilibrium with the block at B. The magnitude of the reaction on the beam at C
is now equal to the magnitude of the reaction on the beam at E.
(b) Find the distance AE.
Transcribed Image Text:-2m- C 2am D 30 N B -6m Figure 2 A wooden beam AB has weight 140 N and length 2a metres. The beam rests horizontally in equilibrium on two supports at C and D, where AC = 2m and AD=6m. A block of weight 30 N is placed on the beam at B and the beam remains horizontal and in equilibrium, as shown in Figure 2. The reaction on the beam at D has magnitude 120 N. The block is modelled as a particle and the beam is modelled as a uniform rod. (a) Find the value of a. (4) The support at D is now moved to a point E on the beam and the beam remains horizontal and in equilibrium with the block at B. The magnitude of the reaction on the beam at C is now equal to the magnitude of the reaction on the beam at E. (b) Find the distance AE.
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