15-82. The 20-lb box slides on the surface for which Hk = 0.3. The box has a velocity v = 15 ft/s when it is 2 ft from the plate. If it strikes the smooth plate, which has a weight of 10 Ib and is held in position by an unstretched spring of stiffness k = 400 lb/ft, determine the maximum compression imparted to the spring. Take e = 0.8 between the box and the plate. Assume that the plate slides smoothly. v = 15 ft/s %3D k 2 ft -
15-82. The 20-lb box slides on the surface for which Hk = 0.3. The box has a velocity v = 15 ft/s when it is 2 ft from the plate. If it strikes the smooth plate, which has a weight of 10 Ib and is held in position by an unstretched spring of stiffness k = 400 lb/ft, determine the maximum compression imparted to the spring. Take e = 0.8 between the box and the plate. Assume that the plate slides smoothly. v = 15 ft/s %3D k 2 ft -
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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82
![15-82. The 20-lb box slides on the surface for which
uk = 0.3. The box has a velocity v = 15 ft/s when it is
2 ft from the plate. If it strikes the smooth plate, which has a
weight of 10 Ib and is held in position by an unstretched
spring of stiffnessk = 400 lb/ft, determine the maximum
compression imparted to the spring. Take e = 0.8 between
the box and the plate. Assume that the plate slides smoothly.
v = 15 ft/s
%3D
k
2 ft](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F07dc3289-c262-41f1-9fc5-a8d18500de1b%2F8b9c7840-5d69-41df-8a4d-2612bd670189%2Fxu1h1qj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:15-82. The 20-lb box slides on the surface for which
uk = 0.3. The box has a velocity v = 15 ft/s when it is
2 ft from the plate. If it strikes the smooth plate, which has a
weight of 10 Ib and is held in position by an unstretched
spring of stiffnessk = 400 lb/ft, determine the maximum
compression imparted to the spring. Take e = 0.8 between
the box and the plate. Assume that the plate slides smoothly.
v = 15 ft/s
%3D
k
2 ft
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VIEWStep 2: Draw the free body diagram of the box:
VIEWStep 3: Determine the velocity of box before hitting the plate:
VIEWStep 4: Determine the relation between the final velocities of both the spring and the box:
VIEWStep 5: Calculate the maximum compression of the spring:
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