We will assume that the velocity of Juan's hand and the pencil were both 0.9 meters per second prior to impact and that his wrist added an angular velocity to the pencil of 7.4 radians/second. In reality the pencil dug in nearest to my thumb and did not poke through the back. For the purpose of this calculation we will instead say that the blue pencil of mass M and length of L pushed through my hand until 20% of its length was behind the hand. We will further assume that the normal force between the hand and the pencil was 120 Newtons and that the area of the point of the pencil was 0.0024mm2. The coefficient of kinetic friction between the pencil exterior and my flesh was 0.24 because I was running a slight fever and had a temperature of 102 degrees Fahrenheit.  Write an expression for dm: dm =     Write the result for the Moment of Inertia: I = The formula for Moment of Inertia in the form of an integral: I = ∫ Write an expression for the upper limit of the integral: Upper Limit =Write an expression for r: r = Write an expression for the lower limit of the integral: Lower Limit =

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We will assume that the velocity of Juan's hand and the pencil were both 0.9 meters per second prior to impact and that his wrist added an angular velocity to the pencil of 7.4 radians/second. In reality the pencil dug in nearest to my thumb and did not poke through the back. For the purpose of this calculation we will instead say that the blue pencil of mass M and length of L pushed through my hand until 20% of its length was behind the hand. We will further assume that the normal force between the hand and the pencil was 120 Newtons and that the area of the point of the pencil was 0.0024mm2. The coefficient of kinetic friction between the pencil exterior and my flesh was 0.24 because I was running a slight fever and had a temperature of 102 degrees Fahrenheit. 

Write an expression for dm: dm =

 
 


Write the result for the Moment of Inertia: I =

The formula for Moment of Inertia in the form of an integral: I = ∫

Write an expression for the upper limit of the integral: Upper Limit =Write an expression for r: r =

Write an expression for the lower limit of the integral: Lower Limit =
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