A box that contains of a 250 kg fragile instrument is transported by a truck that is subjected to a vertical harmonic motion given by y(t) = 0.02 sin 3t. Assume that the instrument only moves in vertical translation and is supported by four springs with stiffness, k= 250 × 4 N/m as simplified in Figure Q3. (a) Determine the maximum displacement, velocity and acceleration experienced by the instrument. (b) Evaluate the percentage of vibration transmitted from the truck bed to the instrument and justify the outcome.

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k
k
250 kg
k
k
Figure Q3
Transcribed Image Text:k k 250 kg k k Figure Q3
A box that contains of a 250 kg fragile instrument is transported by a truck that is subjected
to a vertical harmonic motion given by y(t) = 0.02 sin 3t. Assume that the instrument only
moves in vertical translation and is supported by four springs with stiffiness, k= 250 × 4 N/m
as simplified in Figure Q3.
Q3
(a)
Determine the maximum displacement, velocity and acceleration experienced by the
instrument.
(b)
Evaluate the percentage of vibration transmitted from the truck bed to the instrument
and justify the outcome.
Transcribed Image Text:A box that contains of a 250 kg fragile instrument is transported by a truck that is subjected to a vertical harmonic motion given by y(t) = 0.02 sin 3t. Assume that the instrument only moves in vertical translation and is supported by four springs with stiffiness, k= 250 × 4 N/m as simplified in Figure Q3. Q3 (a) Determine the maximum displacement, velocity and acceleration experienced by the instrument. (b) Evaluate the percentage of vibration transmitted from the truck bed to the instrument and justify the outcome.
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