A plane mirror in y-z plane moves with a velocity -3i^as shown in fig. An object ‘O’ starts moving with a velocity 4i^+j^-4k^. Find the velocity of the image

Along x-axis (VI)x= 2 Vm - Vo= 2x - 3i - 4i=−10iy, z components don’t change VI=−10i+j−4k

A plane mirror in y-z plane moves with a velocity -3i^as shown in fig. An object ‘O’ starts moving with a velocity 4i^+j^-4k^. Find the velocity of the image

Along x-axis (VI)x= 2 Vm - Vo= 2x - 3i - 4i=−10iy, z components don’t change VI=−10i+j−4k

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A plane mirror in y-z plane moves with a velocity $- 3 \hat{i}$ as shown in fig. An object ‘O’ starts moving with a velocity $4 \hat{i} + \hat{j} - 4 \hat{k}$ . Find the velocity of the image

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$3 \hat{i} + 4 \hat{j} - 10 \hat{k}$

$2 \hat{i} - 10 \hat{j} + 4 \hat{k}$

$- 10 \hat{i} + \hat{j} - 4 \hat{k}$

$- 10 \hat{i} + 3 \hat{j} - 4 \hat{k}$

answer is B.

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Detailed Solution

Along x-axis

$\begin{array}{l} {(V_{I})}_{x} = 2 Vm - Vo \\ = 2x - 3i - 4i \\ = - 10 i \end{array}$

y, z components don’t change $V_{I} = - 10 i + j - 4 k$

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A plane mirror in y-z plane moves with a velocity -3i^as shown in fig. An object ‘O’ starts moving with a velocity 4i^+j^-4k^. Find the velocity of the image

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A plane mirror in y-z plane moves with a velocity $- 3 \hat{i}$ as shown in fig. An object ‘O’ starts moving with a velocity $4 \hat{i} + \hat{j} - 4 \hat{k}$ . Find the velocity of the image