In order to clean a dirty floor surface you push with force F directly along the handle of a mop, at an angle with the vertical, as illustrated in the figure. Assume that all the mass m of the mop is in its head and that , and are the coefficients of static and kinetic friction between the head of the mop and the dirty floor surface. AF 1. In terms of the given variables, find the magnitude F of the pushing force you must exert in order for the head of the mop to move with constant velocity along the floor. 2. There is a critical angle 00 such that if 0 < 0o it is impossible for the mop head to move, regardless of the magnitude F of the pushing force. Explain why this happens and find and expression for 0o in terms of the given variables.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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In order to clean a dirty floor surface you push with force
F directly along the handle of a mop, at an angle with
the vertical, as illustrated in the figure.
Assume that all the mass m of the mop is in its
head and that , and are the coefficients of static and
kinetic friction between the head of the mop and the dirty
floor surface.
AF
1. In terms of the given variables, find the magnitude F of the pushing force you must exert
in order for the head of the mop to move with constant velocity along the floor.
2. There is a critical angle 00 such that if 0 < 0o it is impossible for the mop head to move,
regardless of the magnitude F of the pushing force. Explain why this happens and find and
expression for 0o in terms of the given variables.
Transcribed Image Text:In order to clean a dirty floor surface you push with force F directly along the handle of a mop, at an angle with the vertical, as illustrated in the figure. Assume that all the mass m of the mop is in its head and that , and are the coefficients of static and kinetic friction between the head of the mop and the dirty floor surface. AF 1. In terms of the given variables, find the magnitude F of the pushing force you must exert in order for the head of the mop to move with constant velocity along the floor. 2. There is a critical angle 00 such that if 0 < 0o it is impossible for the mop head to move, regardless of the magnitude F of the pushing force. Explain why this happens and find and expression for 0o in terms of the given variables.
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