1. A massless disc of radius R has an embedded particle of mass m at a distance R/2 from the center. The disc is released from rest in the position shown and rolls without slipping down the fixed inclined plane. Define an appropriate inertial coordinate system, and then, Find: (a) write the acceleration of the particle, (b) the differential equation of motion of the particle/cylinder and the initial conditions for motion, (c) l as a function of 0; and (d) a position e at which the speed of the particle is momentarily constant (Problem 3-10 in the text). 띠2 30 Figure P3-10
1. A massless disc of radius R has an embedded particle of mass m at a distance R/2 from the center. The disc is released from rest in the position shown and rolls without slipping down the fixed inclined plane. Define an appropriate inertial coordinate system, and then, Find: (a) write the acceleration of the particle, (b) the differential equation of motion of the particle/cylinder and the initial conditions for motion, (c) l as a function of 0; and (d) a position e at which the speed of the particle is momentarily constant (Problem 3-10 in the text). 띠2 30 Figure P3-10
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Transcribed Image Text:1. A massless disc of radius R has an embedded particle of mass m at a distance R/2 from
the center. The disc is released from rest in the position shown and rolls without
slipping down the fixed inclined plane. Define an appropriate inertial coordinate system,
and then, Find: (a) write the acceleration of the particle, (b) the differential equation of
motion of the particle/cylinder and the initial conditions for motion, (c) è as a function
of 0; and (d) a position 0 at which the speed of the particle is momentarily constant
(Problem 3-10 in the text).
Figure P3-10
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