Mechanics: Vectors and Forces in Two-Dimensions
Vectors and Forces in 2-D: Audio Guided Solution
The custodians clean the field house gym floor between games at the annual Holiday Basketball Classic. Chuck exerts a force on a 1.1-kg push broom as he walks across the floor at a constant speed. The coefficient of friction between the floor and the broom is 0.45 and the broom handle makes an angle of 41° with the horizontal. Determine the amount of force with which Chuck pushes downward (along the handle of the broom) in order to achieve this constant speed motion. (Suggestion: Begin with a free body diagram.)
Audio Guided Solution
Habits of an Effective Problem Solver
Read the problem carefully and develop a mental picture of the physical situation. If necessary, sketch a simple diagram of the physical situation to help you visualize it.
Identify the known and unknown quantities in an organized manner. Equate given values to the symbols used to represent the corresponding quantity - e.g., m = 1.25 kg, µ = 0.459, vo = 0.0 m/s, Ø = 41.6º, vf = ???.
Use physics formulas and conceptual reasoning to plot a strategy for solving for the unknown quantity.
Identify the appropriate formula(s) to use.
Perform substitutions and algebraic manipulations in order to solve for the unknown quantity.
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Get more information on the topic of Vectors and Forces in Two-Dimensions at The Physics Classroom Tutorial.
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