A block of mass m hangs from a string. The string is wound around a heavy wheel of mass mw and radius R. The moment of inertia of the wheel is I = mw R2 The wheel will not move horizontally or vertically, but is free to rotate without friction about its axis. The string does not slip. This question has no numbers! a) Draw free body diagrams for both the block and the wheel. Write Newton’s 2nd Law for each. b) What is the relationship between the acceleration of the block (a) and the angular acceleration of the wheel (α)? c) Use your results from part a) and b) to find the tension in the string. Please write your answers in terms of the given variables (m, mw, R, and g) only. The Earth rotates around its axis once per day. For now, the mass of the polar ice caps is located near the North and South poles. If the ice caps were to melt, this mass would move closer to the equator. EXAM d) Would melting ice caps cause the length of the day to get longer, shorter, or stay the same? Briefly justify your answer using Conservation of Angular Momentum. mwm

Answered: Image /qna-images/answer/b855aa4a-dc66-4989-99c3-8b14a844fa84.jpg

Answered: A block of mass m hangs from a string.…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Question

100%

A block of mass m hangs from a string.

The string is wound around a heavy wheel of mass mw and radius R. The moment of inertia of the wheel is I = mw R2

The wheel will not move horizontally or vertically, but is free to rotate without friction about its axis. The string does not slip.

This question has no numbers!

a) Draw free body diagrams for both the block and the wheel. Write Newton’s 2nd Law for each.
b) What is the relationship between the acceleration of the block (a) and the angular acceleration of the wheel (α)?
c) Use your results from part a) and b) to find the tension in the string.

Please write your answers in terms of the given variables (m, mw, R, and g) only.

The Earth rotates around its axis once per day. For now, the mass of the polar ice caps is located near the North and South poles. If the ice caps were to melt, this mass would move closer to the equator. EXAM

d) Would melting ice caps cause the length of the day to get longer, shorter, or stay the same? Briefly justify your answer using Conservation of Angular Momentum.

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

Expert Solution

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

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