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Chapter 12: Q. 11 (page 330)

The three 200g masses in FIGURE rigid rods.

a. What is the triangle's moment of inertia about the axis through the

b. What is the triangle's kinetic60掳40cm energy if it rotates about the axis

Short Answer

Expert verified

a. The moment of inertia of the triangle is0.0320kgm

b. The rotational kinetic energy is15.8J

Step by step solution

01

Step 1. Given information

The triangle is a rigid body rotating about an axis through the center.

Each 200 g mass is a distance away from the axis of rotation, where r is given by

0.20mr=cos30掳r=0.20mcos30掳=0.2309m

02

Part(a)

The moment of inertia of the triangle is

.I=3脳mr2=3(0.200kg)(0.2309m)2=0.0320kgm

03

Part (b)

The frequency of rotation is given as 5.0 revolutions per s or10蟺rad/s .

The rotational kinetic energy is

Krot.=12I蝇2=120.0320kgm2(10.0蟺rad/s)2=15.8J

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