![]() Method 3 - In this method, split the force into components, perpendicular to the rod and parallel to the rod. Using this to calculate the torque gives: If we give the lever arm the symbol l, from the right-angled triangle it is clear that This is the way the textbook does it done in this way, the line you measure distance along is called the lever arm. Method 2 - For method two, set up a right-angled triangle, so that there is a 90° angle between the line you measure the distance along and the line of the force. Method 1 - In method one, simply measure r from the hinge along the rod to where the force is applied, multiply by the force, and then multiply by the sine of the angle between the rod (the line you measure r along) and the force. There are three equivalent ways to determine this torque, as shown in the diagram below. We'll look at that in more detail later for now, consider just the torque exerted by the rope. The rod does not spin because the rope's torque is balanced by a clockwise torque coming from the weight of the rod itself. The first thing to notice is that the torque is a counter-clockwise torque, as it tends to make the rod spin in a counter-clockwise direction. Consider the example of the torque exerted by a rope tied to the end of a hinged rod, as shown in the diagram. In a given situation, there are usually three ways to determine the torque arising from a particular force. Torque is the product of the distance from the point of rotation to where the force is applied x the force x the sine of the angle between the line you measure distance along and the line of the force: Note that the symbol for torque is the Greek letter tau. I will state the equation for torque in a slightly different way than the book does. When you open a door, where do you push? If you exert a force at the hinge, the door will not move the easiest way to open a door is to exert a force on the side of the door opposite the hinge, and to push or pull with a force perpendicular to the door. Similarly, to start something spinning, or to alter the rotation of a spinning object, a torque must be applied.Ī torque is a force exerted at a distance from the axis of rotation the easiest way to think of torque is to consider a door. To get something to move in a straight-line, or to deflect an object traveling in a straight line, it is necessary to apply a force. We've looked at the rotational equivalents of displacement, velocity, and acceleration now we'll extend the parallel between straight-line motion and rotational motion by investigating the rotational equivalent of force, which is torque. ![]() Torque and rotational inertia Torque and rotational inertia
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