A small 6-kg box is being launched along a track as shown below (if the image does not load, click here). From A to E the track is smooth whereas it is rough from E to F. The segment B-C-D is a circular section with a radius of 3.61 m. The table below summarises some relevant information. At A, the block is at rest and the spring is unstretched. Values k 1.05 N/mm h = 0.51 m

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter7: Dry Friction
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A small 6-kg box is being launched along a track as shown below (if the image does
not load, click here). From A to E the track is smooth whereas it is rough from E to F.
The segment B-C-D is a circular section with a radius of 3.61 m. The table below
summarises some relevant information. At A, the block is at rest and the spring is
unstretched.
Values
k 1.05
N/mm
!!
h 0.51 m
%3!
D
A
Not to Scale
E
F
A. Calculate the minimum spring deflection, xmin, to get the block barely across point
C with almost zero speed.
B. Calculate the maximum spring deflection, Xmax, where the block maintains
contact with the track at point C.
o Hint: First, calculate the maximum speed of the block at C before losing
contact with the track.
C. Calculate the ratio Z = Xmax/Xmin
ty
Transcribed Image Text:A small 6-kg box is being launched along a track as shown below (if the image does not load, click here). From A to E the track is smooth whereas it is rough from E to F. The segment B-C-D is a circular section with a radius of 3.61 m. The table below summarises some relevant information. At A, the block is at rest and the spring is unstretched. Values k 1.05 N/mm !! h 0.51 m %3! D A Not to Scale E F A. Calculate the minimum spring deflection, xmin, to get the block barely across point C with almost zero speed. B. Calculate the maximum spring deflection, Xmax, where the block maintains contact with the track at point C. o Hint: First, calculate the maximum speed of the block at C before losing contact with the track. C. Calculate the ratio Z = Xmax/Xmin ty
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