A5500 n weight is held suspended in equilibrium by two cables. cable 1 applies a horizontal force to the right of the object and has a tension t1. cable 2 applies a force upward and to the left at an angle of 40.0 to the negative x-axis and has a tension t2. what is tension t1?

T1 = 6554.6N

Explanation:

Given;

Weight w = 5500N

Cable 1 = T1 acting on the horizontal

Cable 2 = T2 acting 40° to the horizontal

To solve this kind of question we must take the horizontal and vertical component of force at equilibrium.

Taking the summation of forces on the horizontal (x axis)

T1 - T2(cos40°) = 0 1

Summation of forces on the y axis (vertical)

T2(sin40°) - W = 0 2

From equation 2

T2(sin40) = W

T2 = W/sin40 3

From equation 1

T1 = T2(cos40)

Substituting T2 = W/sin40

T1 = (W/sin40)(cos40)

T1 = 5500N(cos40/sin40)

T1 = 6554.6N

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50