A rope force Fo causes a solid drum (inside radius R2, outside radius R1, center C, mass m and mass moment of inertia O.) as shown in Figure 2 to move across the rough surface with coefficient of friction of Ho. Using forces, determine the acceleration of the centre of the wheel if there is to be no slipping as the drum is rolling in terms of Fo, R1, R2, m, g, O, and a. Hence find the minimum static coefficient of friction to ensure rolling of

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A rope force Fo causes a solid drum (inside radius R2, outside radius R1,
center C, mass m and mass moment of inertia O.) as shown in Figure 2 to
move across the rough surface with coefficient of friction of Ho. Using
forces, determine the acceleration of the centre of the wheel if there is to
be no slipping as the drum is rolling in terms of Fo, R1, R2, m, g, O. and a.
Hence find the minimum static coefficient of friction to ensure rolling of
the solid drum in terms of Fo, R1, R2, m, g, O, and a.
R2
FO
R1
Transcribed Image Text:A rope force Fo causes a solid drum (inside radius R2, outside radius R1, center C, mass m and mass moment of inertia O.) as shown in Figure 2 to move across the rough surface with coefficient of friction of Ho. Using forces, determine the acceleration of the centre of the wheel if there is to be no slipping as the drum is rolling in terms of Fo, R1, R2, m, g, O. and a. Hence find the minimum static coefficient of friction to ensure rolling of the solid drum in terms of Fo, R1, R2, m, g, O, and a. R2 FO R1
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