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Fundamentals Of Physics
Found in: Page 288

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Short Answer

Figure 10-34a shows a disk that can rotate about an axis at a radial distance h from the center of the disk. Figure 10-34b gives the rotational inertia l of the disk about the axis as a function of that distance h, from the center out to the edge of the disk. The scale on the l axis is set by lA=0.050kg.m2 and lB=0.050kg.m2. What is the mass of the disk?

The mass of the disk is, 2.5kg

See the step by step solution

Step by Step Solution

Step 1: Understanding the given information

  1. Moment of inertia at hA=0m is lA=0.050kg.m2
  2. Moment of inertia at hB=0.2m is, lB=0.150kg.m2 .

Step 2: Concept and Formula used in the given question

By applying the parallel axis theorem for two values of moment of inertia as given in the graph we will get two equations. By solving them we can find mass of the disk.

Parallel axis theorem,


Step 3: Calculation for the mass of the disk

To calculate mass of the disk we will apply Parallel axis theorem for lA and lB

lA=lcom+mhA2 …(1)

lB=lcom+mhB2 …(2)

lcom is the moment of inertia of the disk about its center of mass.

Subtracting equation (2) from (1)


Substitute all the value in the above equation.

We can use the values of hA,hB from the given graph


Hence the mass of the disk is, 2.5kg.

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