1. What is the maximum value of the linear density in a crystalline solid (linear density defined as the fraction of the line le
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To solve this problem we will apply the concepts related to translational torque, angular torque and the kinematic equations of angular movement with which we will find the angular displacement of the system.
Translational torque can be defined as,
Here,
F = Force
d = Distance which the force is applied
At the same time the angular torque is defined as the product between the moment of inertia and the angular acceleration, so using the previous value of the found torque, and with the moment of inertia given by the statement, we would have that the angular acceleration is
Now the angular displacement is
Here
= Initial angular velocity
t = time
Angular acceleration
= Angular displacement
Time is given as 1 minute, in seconds will be
There is not initial angular velocity, then
Replacing,
The question neglects the effect of gravitational force.