Static Equilibrium & Moment of Inertia Prelab Name: Date: Lab day & time: Questi

Question

Static Equilibrium & Moment of Inertia Prelab Name: Date: Lab day & time: Question: What factors affect an object's resistance to rotational motion? Part P-1: 1) We are going to start out this lab by investigating how of an object 's resistance to rotational Moment of Inertia" is the measure to calculate the moment of inertia. Let's start out by considering the barbell shown in Figure P-1. motion, also known as its 'rotational inertia Figure P-1: Shown here are two barbells. They have the same mass but have different moments of inertia. Each is intended to be held in the center and twisted. 2) The bars shown Figure P-1 have two different Moment of Inertia Facts configurations, Use the in information given in the moment of inertia facts to determine an equation for the moment of inertia for each of the two configurations. Assuming that a person's hand is placed in the center twists bar a) Masses Close: The moment of inertia of the pipe rotated about its center of mass, 12 M is the mass of the pipe and L is the overall length of the pipe. o The moment of inertia of an object rotating about an exterior point is o M is the mass and R is the b) Masses Far: distance from the center of the object to the center of rotation The moment of inertia of a system of objects is the sum of the moments of inertia of the objects that make up that system . 3) Which one would you expect to have a larger moment of inertia? Last revised 7/17/2015 Static Equilibrium-10.1

Explanation / Answer

2)
a)
Consider that the masses (each having mass m) are at a distance r1 away from the center.
Total moment of inertia of the system, I1 = 1/12 ML2 + m(r1)2 + m(r1)2
I1 = 1/12 ML2 + 2m(r1)2

b)
Now consider that both masses are at a distance r2 from the center.
Total moment of inertia of the system is, I2 = 1/12 ML2 + m(r2)2 + m(r2)2
I1 = 1/12 ML2 + 2m(r2)2

3)
Since r2 > r1, I2 > I1
So moment of inertia when masses are far is larger

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