A platform is free to rotate in the horizontal plane about a frictionless, vertical axle. About this axle the platform has a moment of inertia Ip. An object is placed on a platform a distance R from the center of the axle. The mass of the object is m and it is very small in size. The coefficient of friction between the object and the platform is u. If at t = 0 a torque of constant magnitude To about the axle is applied to the platform when will the object start to slip?

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In this question, the acceleration has two components

Problem 2. 1989-Spring-CM-U-2.
A platform is free to rotate in the horizontal plane about a frictionless, vertical axle. About
this axle the platform has a moment of inertia Ip. An object is placed on a platform a
distance R from the center of the axle. The mass of the object is m and it is very small in
size. The coefficient of friction between the object and the platform is µ. If at t = 0 a torque
of constant magnitude à about the axle is applied to the platform when will the object start
to slip?
Transcribed Image Text:Problem 2. 1989-Spring-CM-U-2. A platform is free to rotate in the horizontal plane about a frictionless, vertical axle. About this axle the platform has a moment of inertia Ip. An object is placed on a platform a distance R from the center of the axle. The mass of the object is m and it is very small in size. The coefficient of friction between the object and the platform is µ. If at t = 0 a torque of constant magnitude à about the axle is applied to the platform when will the object start to slip?
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This can be solved using concepts of rotational motion and concepts of equilibrium in vertical and horizontal direction 

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