A 1.50 kg mass moves in the x and y plane according to vector r = (6t^3+t)i+ (15t^2 + 3)j (relative to the origin), with r in meter and t in seconds. At t = 3.00 s (a) What are the magnitude and direction of the force acting on the mass? (b) What are the magnitude and direction of the linear momentum? (c) What is the torque acting on the mass relative to the origin? (d) What is the mass angular momentum relative to the origin? (e) What is the angle between the torque vector and the angular momentum vector? (f) What is the angle between the force vector and the linear momentum vector?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter13: Rotation Ii: A Conservation Approach
Section: Chapter Questions
Problem 45PQ: A thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an...
icon
Related questions
icon
Concept explainers
Question

A 1.50 kg mass moves in the x and y plane according to vector r = (6t^3+t)i+ (15t^2 + 3)j (relative to the origin), with r in meter and t in seconds. At t = 3.00 s (a) What are the magnitude and direction of the force acting on the mass? (b) What are the magnitude and direction of the linear momentum? (c) What is the torque acting on the mass relative to the origin? (d) What is the mass angular momentum relative to the origin? (e) What is the angle between the torque vector and the angular momentum vector? (f) What is the angle between the force vector and the linear momentum vector?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Moment of inertia
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
Physics
ISBN:
9780534408961
Author:
Stephen T. Thornton, Jerry B. Marion
Publisher:
Cengage Learning