Knowledge Check:Meter Rule

Please answer the following question$($s$)$:

A meter rule is anchored at the point $O$ and is free to rotate about an axis passing through $O$ and perpendicular to the plane of the meter rule. Forces $F_1,F_2,F_3,F_4$ and $F_5$ of equal magnitudes act on the ruler at different locations. The magnitude of each force is $17\mathrm{.}0$ N and $=30.$ The distances alon the ruler are given in cm $.$ Assume all quantities are correct to $3$ significant figures.

$($a$)$ Determine whether each force can or cannot rotate the ruler and select the correct rationale for your answer.

$F,$ No$,$ because it is on

$F_2$ Yes $,$

$F_s|||$

$F_4$ Yes

$$

$F_5$

$($b$)$ Between $F_3$ and $F_4$ which force produces the larger torque?

$$

$($c$)$ Calculate the torques produced by $F_3$ and $F_4$ including the sign of the torque indicating the sens of rotation, positive for counter$-$clockwise rotation and negative clockwise rotation.

Help: When using the formula for torque, the angle is between the tails of which two vectors? Draw diagram showing the vectors vec$(F)$ and vec$(F)$ to figure qut the angle to be used in the calculations of forqu

Enter to $3$ significant figures