This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Identify the given values. The radius of pulley A is R_A = 21 cm. The radius of pulley B is R_B = 10.5 cm. The distance between the centers A and B is d = 40 cm. Step 2: Calculate the angle . Draw a line from the center of the smaller pulley (B) parallel to the straight belt segment to the radius of the larger pulley (A). This forms a right-angled triangle with vertices A, B, and a point C on the radius of pulley A. The length of the side $AC = R_A - R_B = 21 - 10.5 = 10.