3. A uniform disk of mass M and radius R compressed a spring (with spring constant k) a distance of xo from equilibrium. The spring is released and the disk begins to roll smoothly (there is no friction between the spring and the disk) up a ramp, as seen in (I) of the figure below. (1) +7 M, R (II) Max Height, H ++ k ¦¦M,R H }/ (a) What is the speed of the disk after it is released from the spring? (b) What is the maximum height, H, reached by the disk? Imagine now, as seen in (II), that the disk is reset to its initial position and the ramp is replaced with one that abruptly ends after a vertical height of H/2, where H is what you found in (b), and guides any rolling on it straight up. (c) The disk is once again released from the spring. What is the new maximum height it reaches (in mid-air)?

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3. A uniform disk of mass M and radius R compressed a spring (with spring
constant k) a distance of xo from equilibrium. The spring is released and
the disk begins to roll smoothly (there is no friction between the spring
and the disk) up a ramp, as seen in (I) of the figure below.
(1)
M, R
(II)
Max Height, H
++
k
¦¦M,R
H
}/
(a) What is the speed of the disk after it is released from the spring?
(b) What is the maximum height, H, reached by the disk?
Imagine now, as seen in (II), that the disk is reset to its initial position and
the ramp is replaced with one that abruptly ends after a vertical height
of H/2, where H is what you found in (b), and guides any rolling on it
straight up.
(c) The disk is once again released from the spring. What is the new
maximum height it reaches (in mid-air)?
Transcribed Image Text:3. A uniform disk of mass M and radius R compressed a spring (with spring constant k) a distance of xo from equilibrium. The spring is released and the disk begins to roll smoothly (there is no friction between the spring and the disk) up a ramp, as seen in (I) of the figure below. (1) M, R (II) Max Height, H ++ k ¦¦M,R H }/ (a) What is the speed of the disk after it is released from the spring? (b) What is the maximum height, H, reached by the disk? Imagine now, as seen in (II), that the disk is reset to its initial position and the ramp is replaced with one that abruptly ends after a vertical height of H/2, where H is what you found in (b), and guides any rolling on it straight up. (c) The disk is once again released from the spring. What is the new maximum height it reaches (in mid-air)?
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