Answered: An oversized yo-yo is made from two…

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

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An oversized yo-yo is made from two identical solid disks each of mass

M = 1.90 kgand radius R = 10.9 cm.The two disks are joined by a solid cylinder of radius r = 4.00 cm and mass m = 1.00 kg as in the figure below. Take the center of the cylinder as the axis of the system, with positive torques directed to the left along this axis. All torques and angular variables are to be calculated around this axis. Light string is wrapped around the cylinder, and the system is then allowed to drop from rest.

Answer these parts:

(g) Eliminate ? from the rotational second law with the expression found in part (d) and find a symbolic expression for the acceleration a in terms of m, M, g, r and R.

(h) What is the numeric value for the system's acceleration?
m/s²

(i) What is the tension in the string?
N

(j) How long does it take the system to drop 1.17 m from rest?
s

I My bills
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O positive
O negative
Is the angular acceleration positive or negative?
O positive
O negative
What about the translational acceleration?
O positive
O negative
(d) Write an equation for the angular acceleration a (alpha) in terms of the translational acceleration a and radiusr. (Watch the sign!)
-a
a =

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