A uniform prismatic rod of length / and mass m is placed in a vertical position with one end on a smooth horizontal floor. It is then let go, and it falls to the floor from rest in the vertical position. Assuming that the rod never loses contact with the floor, derive an expression for its angular velocity at any position as shown in Figure 7(a). =0 Figure 7(a) Determine the height hat which the billiard ball of radius r must be struck so that no frictional force develops between the ball and the table at A as shown in Figure 7(b). Assume that the cue only exerts a horizontal force P on the ball. Take IG of the ball equal to (2/5)mr, where m is the mass of the ball.

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
7.
(a)
A uniform prismatic rod of length I and mass m is placed in a vertical
position with one end on a smooth horizontal floor. It is then let go, and
it falls to the floor from rest in the vertical position. Assuming that the
rod never loses contact with the floor, derive an expression for its
angular velocity at any position as shown in Figure 7(a).
(b)
(
=0
Figure 7(a)
Determine the height h at which the billiard ball of radius r must be
struck so that no frictional force develops between the ball and the
table at 4 as shown in Figure 7(b). Assume that the cue only exerts a
horizontal force P on the ball.
Take IG of the ball equal to (2/5)mr², where m is the mass of the ball.
Figure 7(b)
Transcribed Image Text:7. (a) A uniform prismatic rod of length I and mass m is placed in a vertical position with one end on a smooth horizontal floor. It is then let go, and it falls to the floor from rest in the vertical position. Assuming that the rod never loses contact with the floor, derive an expression for its angular velocity at any position as shown in Figure 7(a). (b) ( =0 Figure 7(a) Determine the height h at which the billiard ball of radius r must be struck so that no frictional force develops between the ball and the table at 4 as shown in Figure 7(b). Assume that the cue only exerts a horizontal force P on the ball. Take IG of the ball equal to (2/5)mr², where m is the mass of the ball. Figure 7(b)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 3 images

Blurred answer
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