Steps by steps solution with clear explanation on how to get the answer please.

Question

Steps by steps solution with clear explanation on how to get the answer please.

Thanks in advance! =)

An open tank, measuring 4 m long by 2 wide by by 1.5 m high, is filled with water to a depth of 1 m as shown in Figure 2. The tank is being towed by a truck on a level road in the positive y direction. 4 m 1.5 m 1 m. A Water Figure 2 Determine the maximum acceleration if no water spillage is allowed during towing. (i) If the tank were to be towed on an uphill road that makes an angle of 10° with the horizontal, determine the maximum acceleration if water spillage is to be avoided

Explanation / Answer

At the condition of limiting spillage,
tan=a/g

so, 1.5/4=a/g

1)a=0.375g= 3.75 m/sec2

2) tan= acos10/(g+asin10)

1.5/4= 0.984a/(10+0.174a)

a=4.07 m/sec2

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