Question

A wheel (m, R) is rolling without sliding upon rough horizontal surface. The distance moved by the centre and a point upon the circumference in one complete rotation, are respectively.

• A. $2R,4\pi R$
• B. $2R,8R$
• C. $2\pi R,4R$
• D. $2\pi R,8R$

Answer 1

Answer: (C)

$2\pi R,4R$

$\begin{array}{c}\text{Let}A\text{be a point on the circumference}\\ \text{and}0\text{be the centre}\end{array}$

$\begin{array}{c}\text{In half rotation the centre moves by "piR}\\ \text{distance and point A Moves by}2R\end{array}$

$\begin{array}{c}\text{Therefore total distance moved by centre is}2\pi R\\ \text{and point}A\text{is}4R\\ \text{option}c\text{is correct}\end{array}$