You have a two-wheel trailer that you pull behind your ATV. Two children with a
ID: 1777197 • Letter: Y
Question
You have a two-wheel trailer that you pull behind your ATV. Two children with a combined mass of 74.2 kg hop on board for a ride through the woods and the springs (one for each wheel) each compress by 6.17 cm. When you pull the trailer over a tree root in the trail, it oscillates with a period of 1.69 s. Determine the following.
(b) mass of the trailer
(c) frequency of the oscillation
(d) time it takes for the trailer to bounce up and down 10 times
3/4 points ! Previous Answers OSCoIPhys2016 16.2.WA.007. Tutorial My Notes Ask Your Teach You have a two-wheel trailer that you pull behind your ATV. Two children with a combined mass of 74.2 kg hop on board for a ride through the woods and the springs (one for each wheel) each compress by 6.17 cm. When you pull the trailer over a tree root in the trail, it oscillates with a period of 1.69 s Determine the following. (a) force constant of the spring:s 5892.7 N/m (b) mass of the trailer 352 How is the period of oscillation for an oscillating mass related to the force constant of the spring and the mass suspended by the spring? kg (c) frequency of the oscillation .59 (d) time it takes for the trailer to bounce up and down 10 times 16.9 Additional Materials Reading TutorialExplanation / Answer
(a) force constant of the springs
k = F/x
k = 74.2(9.81) / 0.0617
k = 11785.41 N/m
This is the combined spring constant for both springs. Each spring individually would have a spring constant of half that value or 5892.70 N/m
(b) mass of the trailer
T = 1.69 s
f = 1/T = 0.5917 Hz
f = /2
= 2f = 3.7159 rad/s
² = k/m
m = k / ² = 11785.41 / (3.7159)2 = 853.490 kg
so trailer mass is
m = 853.490 - 74.2 = 779.29 kg = 780 kg
(c) frequency of the oscillation
already found at 1/T
= 0.5917 Hz
(d) time it takes for the trailer to bounce up and down 10 times
t = 10T = 16.9sec
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