Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

# The Following Figure Shows a Small Wheel Fixed Coaxially on a Bigger One of Double the Radius. the System Rotates About the Common Axis - Physics

MCQ
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The following figure shows a small wheel fixed coaxially on a bigger one of double the radius. The system rotates about the common axis. The strings supporting A and B do not slip on the wheels. If x and y be the distance travelled by A and B in the same time interval, then _________ .

#### Options

• x = 2y

• x = y

• y = 2x

• None of these

#### Solution

y = 2x

It is given that angular velocity is same for both the wheels.

Therefore, we have

vA = $\omega$ R

vB =$\omega$2R

x = vAt = $\omega$Rt ............(1)

y = vBt = $\omega$(2R)t ..............(2)

From equations (1) and (2), we get

y = 2x

Is there an error in this question or solution?

#### APPEARS IN

HC Verma Class 11, 12 Concepts of Physics 1
Chapter 10 Rotational Mechanics
MCQ | Q 5 | Page 193