A car travels at speed v around a frictionless curve of radius r that is banked at an angle 0 the horizontal. Show that the proper angle of banking is given by tan(8) = (Hint, this is asier if you don't rotate the coordinate system like most other incline problems, and treat the axis as the horizontal direction, and the y-axis as the vertical direction. This is because the entripetal force is horinontal.) rg

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Chapter1: Units, Trigonometry. And Vectors
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4) A car travels at speed v around a frictionless curve of radius r that is banked at an angle 0
to the horizontal. Show that the proper angle of banking is given by tan(0) = (Hint, this is
easier if you don't rotate the coordinate system like most other incline problems, and treat the
x-axis as the horizontal direction, and the y-axis as the vertical direction. This is because the
centripetal force is horinontal.)
5) A button is at the rim of a turntable of radius 15.0 cm rotating at 45.0 rpm. What is the
minimum coefficient of friction needed for it to stay on?
6) A 0315-ka narticle moves from an initial position
- 2 00 1- 1.00 i43 00 Ê m to
Transcribed Image Text:4) A car travels at speed v around a frictionless curve of radius r that is banked at an angle 0 to the horizontal. Show that the proper angle of banking is given by tan(0) = (Hint, this is easier if you don't rotate the coordinate system like most other incline problems, and treat the x-axis as the horizontal direction, and the y-axis as the vertical direction. This is because the centripetal force is horinontal.) 5) A button is at the rim of a turntable of radius 15.0 cm rotating at 45.0 rpm. What is the minimum coefficient of friction needed for it to stay on? 6) A 0315-ka narticle moves from an initial position - 2 00 1- 1.00 i43 00 Ê m to
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