A machinist is using a wrench to loosen a nut. The wrench is 25.0 cm long, and he exerts a 17.0-N force at the end of the handle at 37° with the handle (Fig. E10.7). What is the maximum torque he could exert with this force, and how should the force be oriented?

Three forces are applied to a wheel of radius 0.350 m, as shown in Fig. E10.4. One force is perpendicular to the rim, one is tangent to it, and the other one makes a 40.0° angle with the radius. What is the net torque on the wheel due to these three forces for an axis perpendicular to the wheel and passing through its center?

A metal bar is in the $xy$-plane with one end of the bar at the origin. A force $\(\overrightarrow{F}\)=\(\left\)(7.00N\(\right\))i+(-3.00N)j$ is applied to the bar at the point $x=3.00\(\text{ m}\)$, $y=4.00\(\text{ m}\)$. What are the magnitude and direction of the torque with respect to the origin produced by $\overrightarrow{F}$?

The flywheel of an engine has moment of inertia 1.60 kg/m² about its rotation axis. What constant torque is required to bring it up to an angular speed of 400 rev/min in 8.00 s, starting from rest?

(a) Calculate the magnitude of the angular momentum of the earth in a circular orbit around the sun. Is it reasonable to model it as a particle? Consult Appendix E and the astronomical data in Appendix F

A machinist is using a wrench to loosen a nut. The wrench is 25.0 cm long, and he exerts a 17.0-N force at the end of the handle at 37° with the handle (Fig. E10.7). What torque does the machinist exert about the center of the nut?

A metal bar is in the $xy$-plane with one end of the bar at the origin. A force $\overrightarrow{F}=\left(7.00N\right)i+(-3.00N)j$ is applied to the bar at the point $x=3.00\text{ m}$, $y=4.00\text{ m}$. In terms of unit vectors $i$ and $j$, what is the position vector $r$ for the point where the force is applied?