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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

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