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Physics Newton's Laws of Motion Mix MCQ (Single Correct)

A bob is hanging over a pulley inside a car through a string. The second end of the string is in the hand of a person standing in the car. The car is moving with constant acceleration 'a' directed horizontally as shown in figure. Other end of the string is pulled with constant acceleration ' a ' (relative to car) vertically. The tension in the string is equal to

A
m
B
m – ma
C
m + ma
D
m (g + a)

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The correct answer is:
C

(Force diagram in the frame of the car)

Applying Newton’s law perpendicular to string

mg sin θ = ma cos θ

tan θ =

Applying Newton’s law along string = T – m = ma

T = m + ma

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