In the three-railway-car system of Fig. 5.4.6, suppose that cars 1 and 3 each weigh 32 tons, that car 2 weighs 8 tons, and that each spring constant is 4 tons/ft. If x (0) = vo and x, (0) = x, (0) = 0, show that the two springs are com- pressed until t = 1/2 and that x{() = -}vo and x() = x,(t) = +gvo thereafter. Thus car 1 rebounds, but cars 2 and 3 continue with the same velocity. k2 k3 тy т, тз 00.00o0.0o To0.00 FIGURE 5.4.6. The three railway cars of Example 2.
Unitary Method
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Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
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Units and Measurements
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Solve this.
![In the three-railway-car system of Fig. 5.4.6, suppose that
cars 1 and 3 each weigh 32 tons, that car 2 weighs 8 tons,
and that each spring constant is 4 tons/ft. If x (0) = vo
and x, (0) = x, (0) = 0, show that the two springs are com-
pressed until t = 1/2 and that
x{() = -}vo and x() = x,(t) = +gvo
thereafter. Thus car 1 rebounds, but cars 2 and 3 continue
with the same velocity.
k2
k3
тy
т,
тз
00.00o0.0o
To0.00
FIGURE 5.4.6. The three railway
cars of Example 2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b12512a-9f03-4d30-a22f-d3512a24e1ee%2F9f0a1ad5-d1a0-4f94-800a-3f1a5411d89a%2Fx8jv827.png&w=3840&q=75)
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