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ME1102 Mechanics of Solids - Staff.city.ac.uk

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Question 6<br />

The van shown in Fig. Q6 has a mass 1800 kg with mass centre at G. The coefficient <strong>of</strong><br />

friction between the tyres and the road surf<strong>ac</strong>e is 0.75. The brakes are applied when the<br />

van is travelling down a slop <strong>of</strong> 5 degrees and at this instant all the wheels are on the<br />

point <strong>of</strong> slipping.<br />

(a) Draw an appropriate free body diagram<br />

[4 marks]<br />

(b) Calculate:<br />

(i) the deceleration <strong>of</strong> the van [8 marks]<br />

(ii) the distance required that the van comes to rest from a speed <strong>of</strong> 100.8 km/h<br />

[3 marks]<br />

(ii) the normal forces at the front and rear wheels. [5 marks]<br />

100.8 km/h<br />

0.6 m<br />

G<br />

1.7 m 1.3 m<br />

θ<br />

=<br />

Figure Q6<br />

Page - 6 - <strong>of</strong> 9<br />

<strong>ME1102</strong> <strong>Mechanics</strong> <strong>of</strong> <strong>Solids</strong>-May2006.doc

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