This time, I would like you to solve the problem as if the platform has a weight of 10 Ib (assume springs are still massless) using the following procedure a) Use conservation of energy to determine the speed of the 20 Ib cylinder just before it strikes the platform (after it falls from rest a distance of 3 ft) b) Use conservation of momentum to analyze the instantaneous collision between the cylinder A and the platform. Assume the cylinder and platform move together, with the same velocity, after the collision (a perfectly inelastic collision). :) After you have the velocity of the cylinder/platform just after the collision, use conservation of energy to determine the maximum deflection of the spring (the maximum compression relative to its starting position). The spring has an unstretched length of 2 feet, and is therefore initially compressed

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The picture on the previous page is from a problem you solved at some point this quarter. In it, you
used conservation of energy to determine the maximum deflection of a spring as a small cylinder fell
and compressed that spring.
For that problem, we had to assume that the platform is massless (and the spring, too, actually). We
didn't know it a14t the time, but if the platform has mass, the collision between the platform and
cylinder will likely lose some energy (or a lot?), making our conservation of energy assumption
incorrect.
This time, I would like you to solve the problem as if the platform has a weight of 10 lb (assume
springs are still massless) using the following procedure
a) Use conservation of energy to determine the speed of the 20 lb cylinder just before it strikes the
platform (after it falls from rest a distance of 3 ft)
b) Use conservation of momentum to analyze the instantaneous collision between the cylinder A
and the platform. Assume the cylinder and platform move together, with the same velocity,
after the collision (a perfectly inelastic collision).
c) After you have the velocity of the cylinder/platform just after the collision, use conservation of
energy to determine the maximum deflection of the spring (the maximum compression relative
to its starting position). The spring has an unstretched length of 2 feet, and is therefore initially
compressed
Transcribed Image Text:The picture on the previous page is from a problem you solved at some point this quarter. In it, you used conservation of energy to determine the maximum deflection of a spring as a small cylinder fell and compressed that spring. For that problem, we had to assume that the platform is massless (and the spring, too, actually). We didn't know it a14t the time, but if the platform has mass, the collision between the platform and cylinder will likely lose some energy (or a lot?), making our conservation of energy assumption incorrect. This time, I would like you to solve the problem as if the platform has a weight of 10 lb (assume springs are still massless) using the following procedure a) Use conservation of energy to determine the speed of the 20 lb cylinder just before it strikes the platform (after it falls from rest a distance of 3 ft) b) Use conservation of momentum to analyze the instantaneous collision between the cylinder A and the platform. Assume the cylinder and platform move together, with the same velocity, after the collision (a perfectly inelastic collision). c) After you have the velocity of the cylinder/platform just after the collision, use conservation of energy to determine the maximum deflection of the spring (the maximum compression relative to its starting position). The spring has an unstretched length of 2 feet, and is therefore initially compressed
3 ft
k = 400 lb/ft
1 ft
Transcribed Image Text:3 ft k = 400 lb/ft 1 ft
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