Question

A water bucket is suspended by two cables as shown below. The maximum tension either cable can withstand is 10 lbs. What is the maximum weight of the water bucket that can be supported?

Answer 1

Answer:

maximum mass that we can support with the string is 15.3 lb

Explanation:

As per the given figure we can say let the tension in left string is T1 and right string is T2

So by force balance in horizontal direction we have

$T_1cos53 = T_2 sin30$

$T_1(0.6) = T_2(0.5)$

$1.2T_1 = T_2$

so we can say that

$T_2 = 10 lb$

$T_1 = 8.33 lb$

now force balance in vertical direction we have

$T_1 sin53 + T_2 cos30 = mg$

so we have

$8.33 sin53 + 10 cos30 = mg$

$m = 15.3 lb$

#Learn

Topic : Force balance

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