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Standard XII

Mathematics

Average Rate of Change

A roller of r...

Question

A roller of radius 5 cm rides between two horizontal bars moving in opposite directions as shown in Figure. If the instantaneous centre is at a distance of 4 cm from B, the velocity of the lower bar at B, $v_{b}$ is

2 m/s

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4 m/s

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6 m/s

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3 m/s

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Solution

The correct option is A 2 m/s

$ω = \frac{v_{a}}{6} = \frac{v_{b}}{4}$
$\Rightarrow \frac{3}{6} = \frac{v_{b}}{4} \Rightarrow v_{b} = 2 m / s$

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A roller of radius 5 cm rides between two horizontal bars moving in opposite directions as shown in Figure. If the instantaneous centre is at a distance of 4 cm from B, the velocity of the lower bar at B, vb is

The correct option is A 2 m/s ω=va6=vb4 ⇒36=vb4⇒vb=2m/s

A roller of radius 5 cm rides between two horizontal bars moving in opposite directions as shown in Figure. If the instantaneous centre is at a distance of 4 cm from B, the velocity of the lower bar at B, $v_{b}$ is

The correct option is A 2 m/s

$ω = \frac{v_{a}}{6} = \frac{v_{b}}{4}$
$\Rightarrow \frac{3}{6} = \frac{v_{b}}{4} \Rightarrow v_{b} = 2 m / s$