Torque and Rotational Dynamics

A mechanic is trying to loosen a bolt. They apply a 50 N force to a wrench at a 60-degree angle, 0.2 m from the bolt. If they need to produce a torque of 10 $N \cdot m$ to loosen the bolt, how much additional force do they need to apply, keeping the angle and distance the same?

A seesaw is balanced with a child on each end. One child weighs 200 N and sits 1.5 m from the pivot. If the other child sits 2 m from the pivot, what is their weight?

A uniform beam of length L and weight W is supported at each end. A weight $W_a$ is placed a distance of L/4 from the left support. What is the force exerted by the right support?

If the force applied to a wrench is doubled, and the length of the wrench is halved, how does the torque change?

Three forces are applied to a rigid beam that can rotate around a fixed axis. Force $F_1 = 10$ N is applied at a distance of 2 m and an angle of 90 degrees, force $F_2 = 5$ N is applied at a distance of 4 m and an angle of 30 degrees, and force $F_3 = 8$ N is applied at a distance of 1 m and an angle of 45 degrees. All...

A bridge is supported by two pillars. A truck is parked on the bridge. If the sum of the torques about one of the pillars is zero, what can be said about the system?

A force of 20 N is applied at an angle of 30 degrees to a wrench that is 0.3 m long. What is the magnitude of the torque?

Which of the following diagrams correctly represents the forces acting on a seesaw that is balanced with two people of different weights on either side?

A uniform bar is pivoted at its center. A force is applied at one end of the bar. In which direction should the force be applied to create a clockwise torque?

What is torque a measure of?