ME1102 Mechanics of Solids - Staff.city.ac.uk
ME1102 Mechanics of Solids - Staff.city.ac.uk
ME1102 Mechanics of Solids - Staff.city.ac.uk
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SECTION B<br />
Question 5<br />
(a) Car A is travelling along a straight motorway, while car B is moving along a circular<br />
exit ramp <strong>of</strong> 100 m radius. The speed <strong>of</strong> A is being increased at a rate <strong>of</strong> 1.6 m/s 2 while<br />
car B is moving with a constant velo<strong>city</strong> <strong>of</strong> 12 m/s. For the position shown, determine:<br />
(i) the velo<strong>city</strong> <strong>of</strong> A relative to B and its direction (to horizontal axis) from a<br />
velo<strong>city</strong> vector diagram or any other method.<br />
[5 marks]<br />
(ii) the <strong>ac</strong>celeration <strong>of</strong> A relative to B and its direction [7 marks]<br />
A<br />
V A = 22 m/s<br />
30 o 100 m<br />
B<br />
V B = 12 m/s<br />
Figure Q5(a)<br />
(b) The bar OB is supported at O and held in a vertical position by three cables AC, AD<br />
and BE, figure Q5(b). If the tension in the cable BE is T =453.5i -151.2j – 1209.2k,<br />
determine:<br />
(i) The magnitude <strong>of</strong> tension force. [1 marks]<br />
(ii) The moment <strong>of</strong> this vector T with respect to base <strong>of</strong> the pillar at O. [7 marks]<br />
z<br />
B<br />
A<br />
D<br />
T<br />
y<br />
C<br />
O<br />
4.5<br />
All dimension in m<br />
OB=12 m<br />
E<br />
1.5<br />
x<br />
Figure Q5 (b)<br />
Page - 5 - <strong>of</strong> 9<br />
<strong>ME1102</strong> <strong>Mechanics</strong> <strong>of</strong> <strong>Solids</strong>-May2006.doc