i simply dont understand why now???????/

i simply dont understand why now i am not able to solve this one............
i id it a few months back but now i cant get it........
plzzzzzzzz help me..its urgent...............
a container of square base (2*2 m) height 4m is filled upto 3m is accelrated horizontally.
a)If acc. is 4m/s2 ,find liquid heights at front and rear.
b)Find accelration at which liquid is just touching the base of front assuming container is

open.Also fond spilled volume
c)If accelration is 10m/s2 and container is colosed from top,find pressure at top and bottom of

rear face.

ans
a)0.1m
b)10m/s2 ,4
c)14*10^4

10 Answers

62
Lokesh Verma ·

slope is tan-1(4/10)

now the base is 2 metre.. so the height change should be x/2=4/10

thus x=.8

height is thus 3.6 and other will be 4.4

62
Lokesh Verma ·

eureka i think answer is wrong..

24
eureka123 ·

why x/2 ???????

1
jb6098 swathi ·

nishant bhai can u give a detailed soln im poor in physics

1
jb6098 swathi ·

even many of us can see & even its concept may come in d exam we ll be thankful to u

62
Lokesh Verma ·

base is 2 ..

x is the difference in height..

62
Lokesh Verma ·

Proof in next post..

take the point on the top of the water surface

its acceleration is a with respect to the ground

it is very small let its mass be m

mg=Rcosθ
Rsinθ = ma

tan θ = a/g

62
Lokesh Verma ·

thus if the difference in height is x then the base is 2

tan θ = x/2

so x = 2 tan θ = 2 a/g = 2.4/10 = .8 meters

nwo see the volume

initial volume is 3.A

Now if the height on one side is H then on other side is H+x

Total volume is (H+x/2)A = 3A

Thus, H=3-.4 = 2.6

and the other side has heigh of 2.6+x = 3.4 m

62
Lokesh Verma ·

b)Find accelration at which liquid is just touching the base of front assuming container is open.Also fond spilled volume

if the container is open.. then the volume contained will be 1/2(4+0).A
=2A = 2.4 m3 = 8m3

In this case tan θ = a/g = 4/2= a/10

thus, a=20 m/s2

62
Lokesh Verma ·

c)If accelration is 10m/s2 and container is colosed from top,find pressure at top and bottom of rear face.

now here you have to conserve volume ...!!

this is the more dirty question.. but the method is simpler than you think!! (see the acceleration in forward and force in downward direction are equal..) so tan θ = pi/4

See the right whtie portion of unfilled liquid has equal sides.. let x

volume of blue part = 4.4-1/2x2 × 2 = 3x4 = 12

4= x2

x = 2

Now, can you solve it? Pressure is known at some points....

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