tip In the above figure the block is just on the verge of tipping: W and N act through point A and thus exert zero torque about point A. The incline angle, Otip, is the incline angle beyond which the block will tip, since increasing the angle beyond Orip will move the CG beyond where there is a point of support below it, as in the previous figure. It is not difficult to show, using some geometry and trigonometry, that 0tip is given by Orip = tan' (w/ h) (1) Equation (1) agrees with our intuition: If the block is short and wide (h small, w large) the block will be more difficult to tip (Otip is large) and if the block is tall and narrow (h large, w small) the block will be easier to tip (Otip is small). It is now not difficult to see why the automotive industry defines a safety factor describing how easily a vehicle will rollover as (roughly) vehicle width / vehicle height. The larger this safety factor is, the more resistant the vehicle is to rolling: Short and wide vehicles can take curves at high speeds without rolling, while tall and narrow vehicles cannot. While the torque responsible for tipping a vehicle going around a curve is different than in the case of the block on the incline, the principles involving torques that stabilize and de-stabilize the vehicle to rotation are the same.
tip In the above figure the block is just on the verge of tipping: W and N act through point A and thus exert zero torque about point A. The incline angle, Otip, is the incline angle beyond which the block will tip, since increasing the angle beyond Orip will move the CG beyond where there is a point of support below it, as in the previous figure. It is not difficult to show, using some geometry and trigonometry, that 0tip is given by Orip = tan' (w/ h) (1) Equation (1) agrees with our intuition: If the block is short and wide (h small, w large) the block will be more difficult to tip (Otip is large) and if the block is tall and narrow (h large, w small) the block will be easier to tip (Otip is small). It is now not difficult to see why the automotive industry defines a safety factor describing how easily a vehicle will rollover as (roughly) vehicle width / vehicle height. The larger this safety factor is, the more resistant the vehicle is to rolling: Short and wide vehicles can take curves at high speeds without rolling, while tall and narrow vehicles cannot. While the torque responsible for tipping a vehicle going around a curve is different than in the case of the block on the incline, the principles involving torques that stabilize and de-stabilize the vehicle to rotation are the same.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
100%
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY