This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.
ScanSolve AI Answer
To determine the reactions at supports A and B, we will use the equations of static equilibrium. Let R_A be the reaction force at support A. Let R_B be the reaction force at support B. The downward point load is 10 units. The distance from A to the load is 3 units. The distance from the load to B is 3 units. The total length of the beam is 3 + 3 = 6 units. Step 1: Apply the equilibrium equation for the sum of vertical forces. Assume upward forces are positive and downward forces are negative. F_y = 0 R_A + R_B - 10 = 0 R_A + R_B = 10 (*) Step 2: Apply the equilibrium equation for the sum of moments about point A. Assume counter-clockwise moments are positive. M_A = 0 The load of 10 units creates a clockwise moment about A. The reaction R_B creates a counter-clockwise moment about A. (R_B × 6) - (10 × 3) = 0 6 R_B - 30 = 0 6 R_B = 30 R_B = (30)/(6) R_B = 5 Step 3: Substitute the value of R_B into equation (*) to find R_A. R_A + 5 = 10 R_A = 10 - 5 R_A = 5 The reactions at the supports are: R_A = 5 units R_B = 5 units The final answer is R_A = 5, R_B = 5.