(c) What must be the value of 3 such that wheel rolls without slipping? (d) Assume that the ball took time &t to bounce off the wheel, where ốt is very small. Find the average of the horizontal component of force on the wheel due to the impact of the ball. What is the average normal force on the wheel due to the ground during the time dt?

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
icon
Related questions
Question

Help me

A wheel in the shape of a disk of radius R and mass M has moment of inertia about the centre
BMR where ß < 1 is a positive constant. It is resting on a horizontal floor. A ball of mass m
travels in a straight line with speed vi = v and hits the wheel and ricochets off vertically with speed
v2 = . The radial line connecting the point where the ball hits the disk makes an angle 0 to the
horizontal as shown. When the ball bounces off, the wheel starts to move along the floor. You can
assume that the ball is a point mass and that the floor is frictionless. You are given cos 0
and
sin 0 =
All your answers should be in terms of M, m, ß, R, v and St(to be defined later) as necessary.
m
V
M
Transcribed Image Text:A wheel in the shape of a disk of radius R and mass M has moment of inertia about the centre BMR where ß < 1 is a positive constant. It is resting on a horizontal floor. A ball of mass m travels in a straight line with speed vi = v and hits the wheel and ricochets off vertically with speed v2 = . The radial line connecting the point where the ball hits the disk makes an angle 0 to the horizontal as shown. When the ball bounces off, the wheel starts to move along the floor. You can assume that the ball is a point mass and that the floor is frictionless. You are given cos 0 and sin 0 = All your answers should be in terms of M, m, ß, R, v and St(to be defined later) as necessary. m V M
(c) What must be the value of B such that wheel rolls without slipping?
(d) Assume that the ball took time dt to bounce off the wheel, where dt is very small. Find the
average of the horizontal component of force on the wheel due to the impact of the ball. What is
the average normal force on the wheel due to the ground during the time dt?
Transcribed Image Text:(c) What must be the value of B such that wheel rolls without slipping? (d) Assume that the ball took time dt to bounce off the wheel, where dt is very small. Find the average of the horizontal component of force on the wheel due to the impact of the ball. What is the average normal force on the wheel due to the ground during the time dt?
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Dimensional Analysis
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