Solve the problem.The strength S of a wooden beam with rectangular cross section is given by the formula S = kd3 sin2 ? cos ?where d is the diagonal length, ? the angle illustrated, and k is a constant that varies with the type of wood used. Let d = 1 and express the strength S in terms of the constant k for ? = 45°, 50°, 55°, and 65°. Does the strength always increase as ? gets larger?

Question

What will be an ideal response?

Answer 1

0.354k; 0.377k; 0.385k; 0.375k and 0.347k; No, it reaches a maximum near 55°.