A 2.30 kg thin, spherical shell of radius 0.180 m is released from rest at point A in the figure below, its center of gravity a distance of 1.70 m above the ground. The spherical shell rolls without slipping to the bottom of an incline and back up to point B where it is launched vertically into the air. The spherical shell then rises to its maximum height h max at point C. HINT 1.70 m v=0 C 10.300 m (a) At point B, find the spherical shell's translational speed VB (in m/s). m/s (b) At point B, find the spherical shell's rotational speed wg (in rad/s). rad/s (c) At point C, find the spherical shell's rotational speed wc (in rad/s). rad/s hmax (d) At point C, find the maximum height hmax of the spherical shell's center of gravity (in m). m

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A 2.30 kg thin, spherical shell of radius 0.180 m is released from rest at point A in the figure below, its center of gravity a distance of 1.70 m above the ground. The spherical shell rolls without slipping to the
bottom of an incline and back up to point B where it is launched vertically into the air. The spherical shell then rises to its maximum height h at point C.
max
HINT
1.70 m
v=0
C
T0.300 m
(a) At point B, find the spherical shell's translational speed VB (in m/s).
m/s
(b) At point B, find the spherical shell's rotational speed @B (in rad/s).
rad/s
m
(c) At point C, find the spherical shell's rotational speed wc (in rad/s).
rad/s
hmax
(d) At point C, find the maximum height hmax of the spherical shell's center of gravity (in m).
Transcribed Image Text:A 2.30 kg thin, spherical shell of radius 0.180 m is released from rest at point A in the figure below, its center of gravity a distance of 1.70 m above the ground. The spherical shell rolls without slipping to the bottom of an incline and back up to point B where it is launched vertically into the air. The spherical shell then rises to its maximum height h at point C. max HINT 1.70 m v=0 C T0.300 m (a) At point B, find the spherical shell's translational speed VB (in m/s). m/s (b) At point B, find the spherical shell's rotational speed @B (in rad/s). rad/s m (c) At point C, find the spherical shell's rotational speed wc (in rad/s). rad/s hmax (d) At point C, find the maximum height hmax of the spherical shell's center of gravity (in m).
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