The weight of the wheel is 100 Newtons (with mass uniformly distributed). The static coefficient of friction between the wheel and the surface is ls = 0.35. A couple-moment, M, is applied to the wheel in the direction shown. Part One: Draw the FBD of the wheel. (Alternatively, you may draw the FBD of the wheel/link- AB as a single, combined object.) You may NOT use the given existing figure. (Hint: Taken in isolation, the link-AB is a two-force member.) Part Two: Write the equations of equilibrium, and at the point of impending motion (slipping), calculate: a) The minimum applied couple Mmin that is required to initiate slipping (in Newton-meters) b) The maximum friction force, Fmax (in Newtons). c) The normal force, N (in Newtons) of the surface on the wheel (in Newtons). d) The force of the link-AB on the wheel, FAB (in Newtons). B 150 mm 250 mm А ´M

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter7: Dry Friction
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Problem 7.24P: A uniform plank is supported by a fixed support at A and a drum at B that rotates clockwise. The...
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The weight of the wheel is 100 Newtons (with mass uniformly distributed). The static
coefficient of friction between the wheel and the surface is ls = 0.35. A couple-moment, M,
is applied to the wheel in the direction shown.
Part One: Draw the FBD of the wheel. (Alternatively, you may draw the FBD of the wheel/link-
AB as a single, combined object.) You may NOT use the given existing figure. (Hint: Taken in
isolation, the link-AB is a two-force member.)
Part Two: Write the equations of equilibrium, and at the point of impending motion (slipping),
calculate:
a) The minimum applied couple Mmin that is required to initiate slipping (in Newton-meters)
b) The maximum friction force, Fmax (in Newtons).
c) The normal force, N (in Newtons) of the surface on the wheel (in Newtons).
d) The force of the link-AB on the wheel, FAB (in Newtons).
B
150 mm
M
250 mm
A
Transcribed Image Text:The weight of the wheel is 100 Newtons (with mass uniformly distributed). The static coefficient of friction between the wheel and the surface is ls = 0.35. A couple-moment, M, is applied to the wheel in the direction shown. Part One: Draw the FBD of the wheel. (Alternatively, you may draw the FBD of the wheel/link- AB as a single, combined object.) You may NOT use the given existing figure. (Hint: Taken in isolation, the link-AB is a two-force member.) Part Two: Write the equations of equilibrium, and at the point of impending motion (slipping), calculate: a) The minimum applied couple Mmin that is required to initiate slipping (in Newton-meters) b) The maximum friction force, Fmax (in Newtons). c) The normal force, N (in Newtons) of the surface on the wheel (in Newtons). d) The force of the link-AB on the wheel, FAB (in Newtons). B 150 mm M 250 mm A
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