This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Step 1: Identify the forces and their perpendicular distances from the pivot 'o'. The principle of moments states that the moment (or torque) about a pivot is the product of the force and its perpendicular distance from the pivot. Moments causing anticlockwise rotation are typically taken as positive, and moments causing clockwise rotation as negative. • Force F_1 = 50 N acts at a distance d_1 = 3 m to the left of the pivot. This force creates an anticlockwise moment. • Force F_2 = 80 N acts at a distance d_2 = 4 m to the right of the pivot. This force creates a clockwise moment. Step 2: Calculate the anticlockwise moment. The moment due to the 50 N force is: _anticlockwise = F_1 × d_1 _anticlockwise = 50 N × 3 m _anticlockwise = 150 Nm Step 3: Calculate the clockwise moment. The moment due to the 80 N force is: _clockwise = F_2 × d_2 _clockwise = 80 N × 4 m _clockwise = 320 Nm Step 4: Calculate the net moment about the pivot 'o'. The net moment is the sum of the moments, considering their directions. Taking anticlockwise moments as positive and clockwise moments as negative: _net = _anticlockwise - _clockwise _net = 150 Nm - 320 Nm _net = -170 Nm The negative sign indicates that the net moment is in the clockwise direction. The net moment about point 'o' is 170 Nm clockwise. That's 2 down. 3 left today — send the next one.