Draw the impulse-momentum diagram and line of action for e.  Solve for the following: 1. Determine the angular velocity of the slender bar (B) immediately after impact. angular velocity of A = 57.1 rad/s since there is no external torque 2. Determine the linear velocities of both the sphere (A) and the slender bar (B) immediately after impact at their centroids ANSWERS I GOT BUT ARE INCORRECT: (the unit is given) angular velocity of the slender bar (B) immediately after impact: 8.089 rad/s , 18.49 rad/s linear velocity of the sphere (A) immediately after impact at the centroid: 0.485 rad/s^2, 0.16 rad/s^2, 2.11 rad/s^2 linear velocity of the slender bar (B) immediately after impact at the centroid: 0.485 rad/s^2, 0.49 rad/s^2, 2.21 rad/s^2

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

Draw the impulse-momentum diagram and line of action for e. 

Solve for the following:

1. Determine the angular velocity of the slender bar (B) immediately after impact.

angular velocity of A = 57.1 rad/s since there is no external torque

2. Determine the linear velocities of both the sphere (A) and the slender bar (B) immediately after impact at their centroids

ANSWERS I GOT BUT ARE INCORRECT: (the unit is given)

  • angular velocity of the slender bar (B) immediately after impact: 8.089 rad/s , 18.49 rad/s
  • linear velocity of the sphere (A) immediately after impact at the centroid: 0.485 rad/s^2, 0.16 rad/s^2, 2.11 rad/s^2
  • linear velocity of the slender bar (B) immediately after impact at the centroid: 0.485 rad/s^2, 0.49 rad/s^2, 2.21 rad/s^2
L
B
V
A
Transcribed Image Text:L B V A
A bowling ball of mass m₁ = 3.00 kg and radius r = 50.0 mm is rolling without
sliding with an angular velocity of w = 57.1 rad/s and a linear velocity of
v = 2.85 m/s. It impacts a slender bar of mass m₂ = 1.00 kg and length
L = 0.12 m, which is initially at rest. The coefficient of restitution between the
sphere and the bar is e = 0.2. Before reaching the condition of rolling without
sliding, the sphere rolls with sliding to the left with an initial linear velocity of
vo= 4.00 m/s and a linear acceleration at the centroid of a = 2.45 m/s². The
coefficient of friction between the sphere and the floor is k = 0.250, and the
frictional force is f = 7.35 N.
Objectives
The objectives of this analysis are to:
1. Determine the angular velocity of both the sphere (A) and the slender bar
(B) immediately after impact.
2. Determine the linear velocities of both the sphere (A) and the slender bar
(B) immediately after impact at their centroids.
Transcribed Image Text:A bowling ball of mass m₁ = 3.00 kg and radius r = 50.0 mm is rolling without sliding with an angular velocity of w = 57.1 rad/s and a linear velocity of v = 2.85 m/s. It impacts a slender bar of mass m₂ = 1.00 kg and length L = 0.12 m, which is initially at rest. The coefficient of restitution between the sphere and the bar is e = 0.2. Before reaching the condition of rolling without sliding, the sphere rolls with sliding to the left with an initial linear velocity of vo= 4.00 m/s and a linear acceleration at the centroid of a = 2.45 m/s². The coefficient of friction between the sphere and the floor is k = 0.250, and the frictional force is f = 7.35 N. Objectives The objectives of this analysis are to: 1. Determine the angular velocity of both the sphere (A) and the slender bar (B) immediately after impact. 2. Determine the linear velocities of both the sphere (A) and the slender bar (B) immediately after impact at their centroids.
Expert Solution
steps

Step by step

Solved in 3 steps with 10 images

Blurred answer
Knowledge Booster
Dynamics
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
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