Problem 5: A block of mass m = 4.5 kg is attached to a spring with spring constant k = 81 N/m. It is initially at rest on an inclined plane that is at an angle of 0 = 28° with respect to the orizontal, and the coefficient of kinetic friction between the block and the plane is ug = 0.19. In th nitial position, where the spring is compressed by a distance of d= 0.18 m, the mass is at its lowes position and the spring is compressed the maximum amount. Take the initial gravitational energy o he block as zero.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.19P
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Problem 5: A block of mass m = 4.5 kg is attached to a spring with spring constant k = 810
N/m. It is initially at rest on an inclined plane that is at an angle of e = 28° with respect to the
horizontal, and the coefficient of kinetic friction between the block and the plane is uz = 0.19. In the
initial position, where the spring is compressed by a distance of d= 0.18 m, the mass is at its lowest
position and the spring is compressed the maximum amount. Take the initial gravitational energy of
the block as zero.
M
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Part (a) What is the block's initial mechanical energy, E, in J?
Eo =
sin()
cos()
tan()
HOME
E AL 4
* 1
cotan()
asin()
acos()
5 6
atan()
acotan()
sinh()
cosh()
tanh()
cotanh()
+
END
ODegrees O Radians
Vol BACKSPACE DEL CLEAR
Submit
Hint
Feedback
I give up!
Part (b) If the spring pushes the block up the incline, what distance, L in meters, will the block travel before coming to rest? The spring remains
attached to both the block and the fixed wall throughout its motion.
All content © 2021 Expert TA, LLC
Transcribed Image Text:Problem 5: A block of mass m = 4.5 kg is attached to a spring with spring constant k = 810 N/m. It is initially at rest on an inclined plane that is at an angle of e = 28° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is uz = 0.19. In the initial position, where the spring is compressed by a distance of d= 0.18 m, the mass is at its lowest position and the spring is compressed the maximum amount. Take the initial gravitational energy of the block as zero. M ©theexpertta.com Part (a) What is the block's initial mechanical energy, E, in J? Eo = sin() cos() tan() HOME E AL 4 * 1 cotan() asin() acos() 5 6 atan() acotan() sinh() cosh() tanh() cotanh() + END ODegrees O Radians Vol BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Part (b) If the spring pushes the block up the incline, what distance, L in meters, will the block travel before coming to rest? The spring remains attached to both the block and the fixed wall throughout its motion. All content © 2021 Expert TA, LLC
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