Question

A roller of diameter 200 mm rolls without slipping between two horizontal strips moving in oppsosite directions as shown in figure. The instantaneous center of rotation of roller lies on the line PQ at a distance from Q equal to

• A. 0
• B. 80 mm
• C. 100 mm
• D. 200 mm

Answer 1

The correct option is B 80 mm



$\frac{V_P}{x}=\frac{V_Q}{0.2-x}$

$\frac{3}{x}=\frac{2}{0.2-x}$

$0.6-3x=2x$

$x=\frac{0.6}{5}=0.12=120mm$

Instantaneous centre from

$Q=200-x$

$=200-120$

$=80mm$