1. You are designing a new toy that you want to be stable. the bottom is NOT a sphere. In fact the radium increases with off axis angle s.t. R(0) = R'(1 -0.1 cos(0)) Where R' is constant, not the height. So the distance from the ground to the star will always be R+0.1R' Take the center of mass to be above R' by a distance d = (cm - R'). In terms of R' and cm, under what conditions is the toy in stabile equilibrium when upright? CM 4100cm

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.40P
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1. You are designing a new toy that you want to be stable. the bottom is NOT a sphere.
In fact the radium increases with off axis angle s.t.
R(0) = R'(1 - 0.1 cos(0))
Where R' is constant, not the height.
So the distance from the ground to the star will
always be
R+ 0.1R'
Take the center of mass to be above R' by a
distance d (cm - R'). In terms of R' and
cm, under what conditions is the toy in stabile
equilibrium when upright?
CM
Transcribed Image Text:1. You are designing a new toy that you want to be stable. the bottom is NOT a sphere. In fact the radium increases with off axis angle s.t. R(0) = R'(1 - 0.1 cos(0)) Where R' is constant, not the height. So the distance from the ground to the star will always be R+ 0.1R' Take the center of mass to be above R' by a distance d (cm - R'). In terms of R' and cm, under what conditions is the toy in stabile equilibrium when upright? CM
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