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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Question 8<br />
In the forging device shown in Fig. Q8, The 40 kg hammer is lifted to position 1 and<br />
released from rest. It falls and strikes a 20 kg pile embedded in the wood when it is in<br />
position 2. The two identical springs have a constant <strong>of</strong> k=1500 N/m, and the tension in<br />
e<strong>ac</strong>h spring is 150 N when the hammer is in position 2. Neglect friction between the<br />
hammer and slide bars and calculate:<br />
(a) the unstretched length <strong>of</strong> the springs.<br />
[5 marks]<br />
(b) the velo<strong>city</strong> <strong>of</strong> the hammer just before it strikes the pile by using the conservation<br />
<strong>of</strong> energy .<br />
[10 marks]<br />
(c) the velo<strong>city</strong> <strong>of</strong> pile immediately after the imp<strong>ac</strong>t if the hammer velo<strong>city</strong> is<br />
reduced to 1.7 m/s.<br />
[5 marks]<br />
Hammer<br />
1<br />
300 mm<br />
k<br />
k<br />
400<br />
mm<br />
2<br />
Pile<br />
Figure Q8<br />
DATA SHEET<br />
Page - 8 - <strong>of</strong> 9<br />
<strong>ME1102</strong> <strong>Mechanics</strong> <strong>of</strong> <strong>Solids</strong>-May2006.doc
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