A 1.90 kg thin, spherical shell of radius 0.120 m is released from rest at point A in the figure below, its center of gravity a distance of 1.90 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 hmax at point C. HINT 1.90 m = 0 C hmax B T0.350 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 wB (in rad/s). rad/s (c) At point C, find the spherical shell's rotational speed wc (in rad/s). rad/s (d) At point C, find the maximum height h m of the spherical shell's center of gravity (in m). max

University Physics Volume 1
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Chapter11: Angular Momentum
Section: Chapter Questions
Problem 59P: A bug of mass 0.020 kg is at rest on the edge of a solid cylindrical disk (M=0.10kg,R=0.10m)...
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A 1.90 kg thin, spherical shell of radius 0.120 m is released from rest at point A in the figure below, its center of gravity a distance of 1.90 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 hmax at point C.
HINT
1.90 m
= 0
C
hmax
B
T0.350 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 wB (in rad/s).
rad/s
(c) At point C, find the spherical shell's rotational speed wc (in rad/s).
rad/s
(d) At point C, find the maximum height h
m
of the spherical shell's center of gravity (in m).
max
Transcribed Image Text:A 1.90 kg thin, spherical shell of radius 0.120 m is released from rest at point A in the figure below, its center of gravity a distance of 1.90 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 hmax at point C. HINT 1.90 m = 0 C hmax B T0.350 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 wB (in rad/s). rad/s (c) At point C, find the spherical shell's rotational speed wc (in rad/s). rad/s (d) At point C, find the maximum height h m of the spherical shell's center of gravity (in m). max
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