Q 4(a) The force, F, required to compress a spring is given by F = 1000x + 50x³, where x is displacement from its unstretched length. 0.3 Jo The work done, W, to compress a spring by 0.3m is given by S³ F dx. Determine W, giving your answer correct to 2 significant figures.
Q 4(a) The force, F, required to compress a spring is given by F = 1000x + 50x³, where x is displacement from its unstretched length. 0.3 Jo The work done, W, to compress a spring by 0.3m is given by S³ F dx. Determine W, giving your answer correct to 2 significant figures.
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Transcribed Image Text:QUESTION 4
Q 4(a)
The force, F, required to compress a spring is given by F = 1000x + 50x³, where x is
displacement from its unstretched length.
The work done, W, to compress a spring by 0.3m is given by 0³ F dx. Determine W,
giving your answer correct to 2 significant figures.
Q 4(b)
The velocity, v, of a piston moving with simple harmonic motion at time, t, is given by
v = 20sin (3t)
Find in terms of TT, the mean velocity between t = 0 and t =
=F
Q 4(c)
Sketch the region bounded by the curve f(x) = and the line g(x) = 3 - x, for 0 ≤
x ≤ 3. Use integration, determine the area enclosed by the curves, giving your
answer correct to 4 decimal places.
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