A tourist is driving across Canada. They are currently in the rolling planes of Saskatchewan. reach the peak of a hill. At the peak, they are travelling at 50 [ km/h]. They continue down th to a trough. At the bottom of the trough, they are driving at 100 [km/h]. The magnitude o acceleration of the vehicle's mass center is the same at the peak and the trough. The vehicles center is 0.6 [m] from the road. It takes 10 seconds to travel from point A to B. Determine: a) The radius of curvature, PB, of the section of the road with the trough.

A tourist is driving across Canada. They are currently in the rolling planes of Saskatchewan. reach the peak of a hill. At the peak, they are travelling at 50 [ km/h]. They continue down th to a trough. At the bottom of the trough, they are driving at 100 [km/h]. The magnitude o acceleration of the vehicle's mass center is the same at the peak and the trough. The vehicles center is 0.6 [m] from the road. It takes 10 seconds to travel from point A to B. Determine: a) The radius of curvature, PB, of the section of the road with the trough.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Rigid Body

A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.

Rigid Body Dynamics

Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).

Question

A tourist is driving across Canada. They are currently in the rolling planes of Saskatchewan. They
reach the peak of a hill. At the peak, they are travelling at 50 [ km/h]. They continue down the hill
to a trough. At the bottom of the trough, they are driving at 100 [km/h]. The magnitude of the
acceleration of the vehicle's mass center is the same at the peak and the trough. The vehicles mass
center is 0.6 [m] from the road. It takes 10 seconds to travel from point A to B.
Determine:
a) The radius of curvature, PB, of the section of the road with the trough.
Use the problem diagram below.
0.6 m
Vrough PR Radius of Curvature at B
V peak
40 m
Radius of curvature at A

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