Q.

On a smooth inclined plane (with angle of inclination α=37°), a vessel containing liquid is being pushed upwards with an acceleration 5ms2 . If g=10ms2 then angle  (θ ) that the liquid surface makes with the horizontal is (Given, sin37°=35 )

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a

37°

b

tan1(513)

c

tan1(413)

d

53°

answer is C.

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Detailed Solution

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ax=a0cosα=5cos370=4ms-2

ay=a0sinα=5sin370=3ms-2

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Now,θ=tan-1(axay+g)=tan-1(43+10)=tan-1(413)

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On a smooth inclined plane (with angle of inclination α=37°), a vessel containing liquid is being pushed upwards with an acceleration 5ms−2 . If g=10ms−2 then angle  (θ ) that the liquid surface makes with the horizontal is (Given, sin37°=35 )