4 Q3 A bumper, A, for a mine car, B, is constructed with a spring constant of k = 5 MN/m, as seen in Figure 3.1. The weight of the mine car is 400 kN. The maximum possible displacement of the end of the striking plate is 0.5 m. (i) Assuming there is no friction, derive the maximum allowed velocity that the mine car can have when it hits the bumper without damaging it? State and justify your assumptions and comment on your working. (ii) Assuming that a frictional force, F, acts in the bumper-spring system, in your own words, explain how you would derive the maximum allowed velocity of the mine car? State and justify your assumptions and comment on your working. phitga 0.5 m-> Figure 3.1 (not to scale) Terito Inemurion znoliqmuzas 1001 Name all the B

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Q3
A bumper, A, for a mine car, B, is constructed with a spring constant of
k = 5 MN/m, as seen in Figure 3.1. The weight of the mine car is 400 kN. The
maximum possible displacement of the end of the striking plate is 0.5 m.
(i)
Assuming there is no friction, derive the maximum allowed velocity that
the mine car can have when it hits the bumper without damaging it?
State and justify your assumptions and comment on your working.
polish
(ii) Assuming that a frictional force, F, acts in the bumper-spring system, in
your own words, explain how you would derive the maximum allowed
velocity of the mine car? State and justify your assumptions and
comment on your working.
Tarjo
neilw mu
meno
Inommen enolomusas 100
gringa
bris eft:2
A
0.5 m->
Figure 3.1 (not to scale)
End of Examination Paper
Name all the
(elepe of jon) 1.S sup
B
Transcribed Image Text:Q3 A bumper, A, for a mine car, B, is constructed with a spring constant of k = 5 MN/m, as seen in Figure 3.1. The weight of the mine car is 400 kN. The maximum possible displacement of the end of the striking plate is 0.5 m. (i) Assuming there is no friction, derive the maximum allowed velocity that the mine car can have when it hits the bumper without damaging it? State and justify your assumptions and comment on your working. polish (ii) Assuming that a frictional force, F, acts in the bumper-spring system, in your own words, explain how you would derive the maximum allowed velocity of the mine car? State and justify your assumptions and comment on your working. Tarjo neilw mu meno Inommen enolomusas 100 gringa bris eft:2 A 0.5 m-> Figure 3.1 (not to scale) End of Examination Paper Name all the (elepe of jon) 1.S sup B
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