(Solved): The safe load, \( L \), of a wooden beam supported at both ends varies jointly as the width, \( w \ ...

The safe load, \( L \), of a wooden beam supported at both ends varies jointly as the width, \( w \), and the square of the depth. d, and inversely as the length. L. A wooden beam 7 in. wide, 9 in. deep, and 7 ft long holds up \( 39701 \mathrm{lb} \). What load would a beam 9 in. wide, 6 in. deep, and \( 18 \mathrm{ft} \). long, of the same material, support? Round your answer to the . nearest integer if necessary. Answer 2 Points