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Q.

Find unit vector in direction of friction force acting on block, given ${\vec{V}}_{P} = 7 \hat{i} - 2 \hat{i}, {\vec{V}}_{B} = 3 \hat{i} + \hat{j}$

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a

\frac{4}{5} \hat{i} - \frac{3}{5} \hat{j}

b

\frac{4}{5} \hat{i} + \frac{3}{5} \hat{j}

c

\frac{- 4}{5} \hat{i} + \frac{3}{5} \hat{j}

d

4 \hat{i}

answer is B.

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Detailed Solution

v_{BP} = 3 \hat{i} + \hat{j} - (7 \hat{i} - 2 \hat{j}) = - 4 \hat{i} + 3 \hat{j}

$f_{K} = - {\hat{v}}_{BIP} = + \frac{4}{5} \hat{i} - \frac{3}{5} \hat{j}$

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