X is the force; the moment of the force is just the force times the moment arm (distance to pivot).tyana21 said:
The force F exerts a moment tending to turn the door; force X must exert an opposite moment to cancel it.
Yes, rotational equilibrium.
Doc Al said:
And you already solved for that force X.tyana21 said:
(Even if you didn't recognize it as such.)Good. In the light of my previous posts, can you answer each part?tyana21 said:
Doc Al said:
No, the answers are not the same. The first part asks for a moment; the second part for a force.tyana21 said:
Right. You actually solved for the force (X) when you thought you had solved for the moment.
That's the moment needed to produce equilibrium, but I don't think that's what they are looking for in question a. (They don't even bring up the idea of preventing the door from turning until question b.)tyana21 said:
The turning effect of forces, also known as torque, is the measure of how much a force acting on an object causes it to rotate around a specific point or axis.
The turning effect of forces is calculated by multiplying the force applied by the perpendicular distance from the point of rotation to the line of action of the force. This can be expressed as T = F x d, where T is the torque, F is the force, and d is the distance.
The turning effect of forces can be observed in many everyday activities, such as opening a door, using a wrench to tighten a bolt, or riding a bicycle. It is also important in more complex systems, such as the rotation of the Earth around its axis.
The minimum force required for a turning effect, also known as the equilibrium or balancing force, is the smallest amount of force needed to keep an object in rotational equilibrium. On the other hand, the maximum force is the largest amount of force that can be applied without causing the object to rotate.
Yes, the point of rotation, also known as the pivot point, is a crucial factor in determining the turning effect of forces. A force acting at a greater perpendicular distance from the pivot point will have a larger turning effect compared to the same force acting at a shorter distance.