Two massless springs with different spring constants k₁= 100 N/m and k₂ = 10 N/m are aligned vertically, as shown in figure 1. A block of mass m = 0.12 kg is placed on the bottom spring. The distance between the top of the box and the top spring is h = 0.35 m. You compress the bottom spring Ay = 0.3 m from its equilibrium position (figure 2). When you let go, the box flies up (figure 3) and compresses the top spring (figure 4). Treat the upward direction (↑) as positive, such that the compression of the top spring is a positive displacement. What is the maximum compression of the top spring due to the flying box? Give your answer in units of meters to 2 decimal places. Use g = 9.8 m/s^2. Assume air resistance is negligible. T h EW Ay (2) www Backup link to image (opens in new tab). fumand M риту 4 ² ↑ M ? www

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter10: Virtual Work And Potential Energy
Section: Chapter Questions
Problem 10.57P: Find the stable equilibrium position of the system described in Prob. 10.56 if m = 2.06 kg.
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Two massless springs with different spring constants k₁= 100 N/m and k₂ = 10 N/m
are aligned vertically, as shown in figure 1. A block of mass m = 0.12 kg is placed
on the bottom spring. The distance between the top of the box and the top spring
is h = 0.35 m. You compress the bottom spring Ay = 0.3 m from its equilibrium
position (figure 2). When you let go, the box flies up (figure 3) and compresses the
top spring (figure 4). Treat the upward direction (↑) as positive, such that the
compression of the top spring is a positive displacement. What is the maximum
compression of the top spring due to the flying box? Give your answer in units of
meters to 2 decimal places. Use g = 9.8 m/s^2. Assume air resistance is negligible.
T
h
EW
Ay
(2)
www
Backup link to image (opens in new tab).
fumand
M
риту
4
² ↑ M
?
www
Transcribed Image Text:Two massless springs with different spring constants k₁= 100 N/m and k₂ = 10 N/m are aligned vertically, as shown in figure 1. A block of mass m = 0.12 kg is placed on the bottom spring. The distance between the top of the box and the top spring is h = 0.35 m. You compress the bottom spring Ay = 0.3 m from its equilibrium position (figure 2). When you let go, the box flies up (figure 3) and compresses the top spring (figure 4). Treat the upward direction (↑) as positive, such that the compression of the top spring is a positive displacement. What is the maximum compression of the top spring due to the flying box? Give your answer in units of meters to 2 decimal places. Use g = 9.8 m/s^2. Assume air resistance is negligible. T h EW Ay (2) www Backup link to image (opens in new tab). fumand M риту 4 ² ↑ M ? www
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