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Chapter 12: Q. 8 (page 330)

A 100g ball and a 200 g ball are connected by a , 30- cm long massless, rigid rod. The balls rotate about their center of mass at 120 rpm. What is the speed of the 100 g ball?

Short Answer

Expert verified

The speed of the 100 g ball is v1=2.5m/s

Step by step solution

01

Step 1. Given information

A distance between balls, 30cm, an angular velocity 120rpm, and the mass for each ball.

02

Step 2. Explanation

The center of mass of the two balls measured from the left hand ball is

xcm=(100g)(0cm)+(200g)(30cm)100g+200g=20cm

The linear speed of the ball is

v1=r蝇=xcm蝇v1=(0.20m)(120rev/min)2蟺radrevmin60sv1=2.5m/s

Therefore, the speed of the 100g ball isv1=2.5m/s

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