At a given instant, a particle in a rotating system a distance of 4.8 m from the axis of rotation has a radial acceleration of 14.9 m/s?, and the magnitude of the particle's net linear acceleration is 36.7 m/s?. Determine (a) the angular speed of the system, (b) the magnitude of the tangential acceleration of the particle, and (c) the magnitude of the angular acceleration of the system at that instant. a. w = rad/s b. atan m/s2 C. a = rad/s2

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Two uniform solid hemispheres are attached to a uniform rectangular board, as
shown above. The system rotates about the axis shown that runs through the
center-of-mass for the system. Each hemisphere has a mass of 5.1 kg and radius of
33 cm. The mass of the board is 2.5 kg, its length is 176 cm, and each hemisphere
is tangent to the board on three sides. What is the rotational inertia of the system
about the axis?
Isys
kg - cm2
Transcribed Image Text:Top View Side View Two uniform solid hemispheres are attached to a uniform rectangular board, as shown above. The system rotates about the axis shown that runs through the center-of-mass for the system. Each hemisphere has a mass of 5.1 kg and radius of 33 cm. The mass of the board is 2.5 kg, its length is 176 cm, and each hemisphere is tangent to the board on three sides. What is the rotational inertia of the system about the axis? Isys kg - cm2
At a given instant, a particle in a rotating system a distance of 4.8 m from the axis
of rotation has a radial acceleration of 14.9 m/s?, and the magnitude of the
particle's net linear acceleration is 36.7 m/s?. Determine (a) the angular speed of
the system, (b) the magnitude of the tangential acceleration of the particle, and
(c) the magnitude of the angular acceleration of the system at that instant.
a. w =
rad/s
b. atan
m/s2
C. a =
rad/s2
Transcribed Image Text:At a given instant, a particle in a rotating system a distance of 4.8 m from the axis of rotation has a radial acceleration of 14.9 m/s?, and the magnitude of the particle's net linear acceleration is 36.7 m/s?. Determine (a) the angular speed of the system, (b) the magnitude of the tangential acceleration of the particle, and (c) the magnitude of the angular acceleration of the system at that instant. a. w = rad/s b. atan m/s2 C. a = rad/s2
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