The crate has a weight of 510 lb Determine the force in each

The crate has a weight of 510 lb. Determine the force in each supporting cable

Determine the force in cable AB and AC

Express your answer to three significant figures and include the appropriate units.

Solution

Let

T1 = tension along AB
T2 = tension along AC

Summing forces along x,

T1 cos 30 - T2 (4/5) = 0

Summing forces along y,

T1 sin 30 + T2 (3/5) - 510 = 0

Solving this system of equations,

T1 (ALONG AB) = 444 lb
T2 (ALONG AC) = 480 lb [ANSWERS]