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Q.

ABCD is a smooth plank placed on horizontal xy-plane. A small body of mass m is connected to a string which is connected to point P of plank. Initially plank and body both are at rest. Now an acceleration of (3i^+4j)^  m/s2  is given to plank. Find angle made by string with its initial direction when net force on body is along the string as seen from the frame of the plank.
 

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a

370

b

530

c

tan145

d

tan135

answer is B.

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Detailed Solution

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3sinθ=4cosθ

tanθ=43θ=53

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