Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
A uniform board has a length L = 4.0 m and rests horizontally and somewhat above the ground on two cylinders of wood, each supporting the board at a distance of D = 0.75 m from the corresponding end of the board. (The axis of each cylinder is perpendicular to the length of the board.) The board has a mass of ma = 40 kg. A person with a mass of me = 50 kg is about to step on one end of the board. Our goal is to identify if it is safe for the person to step on the board. A. On the diagram below, draw all the forces acting on the board. Assume the person has just stepped on the left end. B. Each of the two wodden cylinders exerts an upward force on the board. Which one of those two forces is larger? If this detail is not evident from your force diagram, redraw it. C. If the board does end up starting to tilt after the person steps on it, what does that imply about the normal force that the right support exerts? D. Is it safe for the person to step on the board? Hint: Around which point would the board turn if it wasn't safe? And which torque needs to be larger in order for that to happen? E. The correct answer to D is that it is safe for the person to step on the board. That means that there must be a normal force exerted by each support when the person steps on the left end. Calculate the force exerted by the left support. Hint: Which point of rotation is best to use in order to calculate this force? F. Calculate the force exerted by the right support.

A uniform board has a length L = 4.0 m and rests horizontally and somewhat above the ground on two cylinders of wood, each supporting the board at a distance of D = 0.75 m from the corresponding end of the board. (The axis of each cylinder is perpendicular to the length of the board.) The board has a mass of ma = 40 kg. A person with a mass of me = 50 kg is about to step on one end of the board. Our goal is to identify if it is safe for the person to step on the board. A. On the diagram below, draw all the forces acting on the board. Assume the person has just stepped on the left end. B. Each of the two wodden cylinders exerts an upward force on the board. Which one of those two forces is larger? If this detail is not evident from your force diagram, redraw it. C. If the board does end up starting to tilt after the person steps on it, what does that imply about the normal force that the right support exerts? D. Is it safe for the person to step on the board? Hint: Around which point would the board turn if it wasn't safe? And which torque needs to be larger in order for that to happen? E. The correct answer to D is that it is safe for the person to step on the board. That means that there must be a normal force exerted by each support when the person steps on the left end. Calculate the force exerted by the left support. Hint: Which point of rotation is best to use in order to calculate this force? F. Calculate the force exerted by the right support.

Elements Of Electromagnetics
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
See similar textbooks
icon
Related questions
Question
A uniform board has a length L = 4.0 m and rests horizontally and somewhat above the ground on two cylinders of wood, each supporting the board at a distance of D= 0.75 m from the corresponding end of the board. (The axis of each cylinder is perpendicular to the length of the board.) The board has a mass of ma = 40 kg. A person with a mass of me = 50 kg is about to step on one end of the board. Our goal is to identify if it is safe for the person to step on the board. A. On the diagram below, draw all the forces acting on the board. Assume the person has just stepped on the left end. B. Each of the two wodden cylinders exerts an upward force on the board. Which one of those two forces is larger? If this detail is not evident from your force diagram, redraw it. C. If the board does end up starting to tilt after the person steps on it, what does that imply about the normal force that the right support exerts? D. Is it safe for the person to step on the board? Hint: Around which point would the board turn if it wasn't safe? And which torque needs to be larger in order for that to happen? E. The correct answer to D is that it is safe for the person to step on the board. That means that there must be a normal force exerted by each support when the person steps on the left end. Calculate the force exerted by the left support. Hint: Which point of rotation is best to use in order to calculate this force? F. Calculate the force exerted by the right support.
Transcribed Image Text:A uniform board has a length L = 4.0 m and rests horizontally and somewhat above the ground on two cylinders of wood, each supporting the board at a distance of D= 0.75 m from the corresponding end of the board. (The axis of each cylinder is perpendicular to the length of the board.) The board has a mass of ma = 40 kg. A person with a mass of me = 50 kg is about to step on one end of the board. Our goal is to identify if it is safe for the person to step on the board. A. On the diagram below, draw all the forces acting on the board. Assume the person has just stepped on the left end. B. Each of the two wodden cylinders exerts an upward force on the board. Which one of those two forces is larger? If this detail is not evident from your force diagram, redraw it. C. If the board does end up starting to tilt after the person steps on it, what does that imply about the normal force that the right support exerts? D. Is it safe for the person to step on the board? Hint: Around which point would the board turn if it wasn't safe? And which torque needs to be larger in order for that to happen? E. The correct answer to D is that it is safe for the person to step on the board. That means that there must be a normal force exerted by each support when the person steps on the left end. Calculate the force exerted by the left support. Hint: Which point of rotation is best to use in order to calculate this force? F. Calculate the force exerted by the right support.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Design of Beams and Shafts
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY
SEE MORE TEXTBOOKS