Question

Now consider the situation in which f1=12n and f2=0, but now a force with nonzero magnitude f3 is acting on the rod. What does f3 have to be to obtain equilibrium? Give a numerical answer, without trigonometric functions, in newtons, to two.

Option 1: 0
Option 2: 6
Option 3: 12
Option 4: 18

Answer 1

To obtain equilibrium, the net torque on the rod must be zero. In this situation, the only force that can create a torque is f3. We can find the value of f3 using the equation f3 = (13nx) / d.

Step-by-step explanation:

To obtain equilibrium, the net torque on the rod must be zero. In this situation, f1 = 12n and f2 = 0, so the only force that can create a torque is f3. The torque due to f1 is 12n * x, and the torque due to f3 is f3 * (d - x).

Therefore, we have the equation:

-12n * x + f3 * (d - x) = 0

To obtain equilibrium, the net torque must be zero, so:

f3 * (d - x) = 12n * x

Simplifying the equation:

f3 * d - f3 * x = 12nx

f3 * d = 13nx

f3 = (13nx) / d

Given that f1 = 12n, we can substitute this value into the equation:

f3 = (13nx) / d = (13 * 12n * x) / d = 156nx / d

To find the numerical value, we need the values of n, x, and d. Without this information, we cannot provide the specific numerical answer.