Which of the following statements are correct about an object in equilibrium under parallel forces? i. the total clockwise moments of the forces about any p...

Which of the following statements are correct about an object in equilibrium under parallel forces? i. the total clockwise moments of the forces about any point equals the total anti-clockwise moments about the same point. ii. the total forces in one direction equals the total forces in the opposite direction. iii. the resolved components along the x-axis equals the resolved components along the y-axis.

Answer Details

An object is said to be in equilibrium when it is not accelerating, which means the net force acting on it is zero. When an object is in equilibrium under parallel forces, the forces acting on it are parallel to each other. Now, let's consider each statement: i. The total clockwise moments of the forces about any point equals the total anti-clockwise moments about the same point: This statement is true. For an object to be in equilibrium under parallel forces, the sum of the moments of the forces on one side of the object must be equal to the sum of the moments of the forces on the other side. This ensures that there is no net moment causing rotation. ii. The total forces in one direction equals the total forces in the opposite direction: This statement is also true. For an object to be in equilibrium, the sum of the forces in one direction must be equal to the sum of the forces in the opposite direction. This ensures that there is no net force causing linear motion. iii. The resolved components along the x-axis equals the resolved components along the y-axis: This statement is not necessarily true. When an object is in equilibrium under parallel forces, the forces are acting in the same direction, so there are no resolved components along the x or y axis. This statement only applies when the forces are not parallel. Therefore, the correct statement is: i and ii only.