Question 7.5 An inextensible thread wraps around the axle of a yoyo. The radius of the axle is r and the radius of the yoyo is R. Denote by M the mass of the yolo. The coefficient of static friction between the yoyo and the ground is μ. Suppose that the string is pulled under the tension T an angle from the horizontal. (a) Find an angle 0 such that there is zero net torque acting on the yoyo. (b) Using that angle 0, show that the maximum tension Tmax that can be applied until the yoyo moves is Tmax = μMg cos +μsin R T μ (7.5.1)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Question 7.5
An inextensible thread wraps around the axle of a yoyo. The
radius of the axle is r and the radius of the yoyo is R. Denote
by M the mass of the yolo. The coefficient of static friction
between the yoyo and the ground is μ. Suppose that the string
is pulled under the tension T an angle from the horizontal.
(a) Find an angle 0 such that there is zero net torque acting
on the yoyo.
(b) Using that angle 0, show that the maximum tension Tmax
that can be applied until the yoyo moves is
Tmax =
μMg
cos +μsin
R
T
μ
(7.5.1)
Transcribed Image Text:Question 7.5 An inextensible thread wraps around the axle of a yoyo. The radius of the axle is r and the radius of the yoyo is R. Denote by M the mass of the yolo. The coefficient of static friction between the yoyo and the ground is μ. Suppose that the string is pulled under the tension T an angle from the horizontal. (a) Find an angle 0 such that there is zero net torque acting on the yoyo. (b) Using that angle 0, show that the maximum tension Tmax that can be applied until the yoyo moves is Tmax = μMg cos +μsin R T μ (7.5.1)
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