A force that is applied to a beam along a line that does not extend through the fulcrum is said to produce a torque. A torque, acting by itself, will cause a beam to rotate. But two torques exerted on the same beam may or may not balance their effects upon the beam. Torques which are equal in magnitude and opposite in direction will balance each other. But when not balanced, the combined effect of the torques is to cause the beam to rotate from its otherwise stationary position.

 

When a force is applied to a beam in a direction that does not extend through the axis of rotation (i.e., the fulcrum), a torque is said to exist. A torque in and of itself will cause the beam to rotate about its fulcrum. The direction that it rotates can be described as counter-clockwise or clockwise. This direction of rotation can be determined by the direction of the force and the side of the fulcrum upon which it is exerted. In the event that it is not obvious, an upward force applied on the right side of the fulcrum or a downward force applied to the left side of the fulcrum will cause a counter-clockwise rotation. On the other hand, a downward force applied on the right side of the fulcrum or an upward force applied to the left side of the fulcrum will cause a clockwise rotation. A torque is typically assigned a positive or a negative sign based on the direction of rotation that it causes. A torque that causes a counter-clockwise rotation is a positive torque. On the other hand, a torque that causes a clockwise rotation is a negative torque. You will need to determine the direction of the two torques caused by the two given forces. If they are in opposite directions (one + and the other -), then you need to determine their magnitudes (next paragraph). If they are in the same direction, then you know they are unbalanced and they will cause an angular acceleration.

The magnitude of each torque can be determined by multiplying the force by the so-called moment arm. When the force is perpendicular to the beam (as it is here), you can calculate the torque by simply multiplying the given force value by the distance between the point at which the force is applied to the fulcrum at the center of the beam. Vertical hash marks are displayed on the beam and each force is applied at the location of one of the hash marks. And while a distance scale is not given and a distance unit is not stated, you can simply assign each hash mark as being "1 distance unit" from the previous hash mark. This allows you to measure a distance from the point of application of each force to the fulcrum. Once you measure this distance, you can use it to calculate the torque (Force * distance). Calculate the two torques and ask if they balance each other. If the two torques have opposite direction and are equal in magnitude, then you know that they will balance each other and there will be no angular acceleration. On the other hand, two unequal torques will not balance and will cause an angular acceleration.