4. The car of mass rolls from rest with negligible friction down the curved ramp and around the circular loop The initial height of the center of mass of the car is H. Assume the center of mass of the car is at a height equal to the diameter d of the loop when the car is at the top of the loop. (a) In terms of the given quantities and any fundamental constants, derive an equation for the speed vop at the top of the loop. (Neglect the rotational kinetic energy of the wheels). (b) The car is upside down at the top of the loop. Derive an equation for the minimum speed vmin necessary to make the loop.

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Chapter1: Units, Trigonometry. And Vectors
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Copyright © 2019, 2014 Pearson Education, Inc.
4. The car of mass rolls from rest with negligible friction down the curved
ramp and around the circular loop The initial height of the center of mass
of the car is H. Assume the center of mass of the car is at a height equal to
the diameter d of the loop when the car is at the top of the loop.
(a) In terms of the given quantities and any fundamental constants, derive
an equation for the speed vop at the top of the loop. (Neglect the rotational
kinetic energy of the wheels).
(b) The car is upside down at the top of the loop. Derive an equation for
the minimum speed vmin necessary to make the loop.
By Marc Reif - Images copyright Pearson, thanks to helpful suggestions from
Gardner Friedlander
Transcribed Image Text:H Copyright © 2019, 2014 Pearson Education, Inc. 4. The car of mass rolls from rest with negligible friction down the curved ramp and around the circular loop The initial height of the center of mass of the car is H. Assume the center of mass of the car is at a height equal to the diameter d of the loop when the car is at the top of the loop. (a) In terms of the given quantities and any fundamental constants, derive an equation for the speed vop at the top of the loop. (Neglect the rotational kinetic energy of the wheels). (b) The car is upside down at the top of the loop. Derive an equation for the minimum speed vmin necessary to make the loop. By Marc Reif - Images copyright Pearson, thanks to helpful suggestions from Gardner Friedlander
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