In the following lever system, what is the clockwise torque?
In the following lever system, what is the clockwise torque?
There are two torques here, caused by the force on each end.
Torque = (force) x (distance from the pivot)
Left end: Torque = (300N) x (1m) = 300 N-m counterclockwise
Right end: Torques = (200 N) x (6m) = 1200 N-m clockwise
The net torque is (1200 - 300) = 900 N-m clockwise .
Answer: The total clockwise torque is 900Nm
Explanation: The torque is defined as:
Torque = Forcedistance to the axis.
Here there are two torques in opposite directions, if we consider the clockwise direction as the positive one, we have:
T1 = 200N6m = 1200Nm
T2 = -300N1m = -300Nm
Where T2 is negative because the torque is anticlockwise.
Another way to think this is to put the zero of our x-axis in the pivot point and say that the x-axis grows to the right. In this model, the distance of T1, is positive 6 meters, and the distance for T2 is negative 1 meter, so the signs match with the ones that we had.
Now we have that the total torque is equal to the sum of all the torques; so:
T = T1 + T2 = 1200Nm - 300Nm = 900Nm