**Q1: **

When opening a door, you push on it perpendicularly with a force of 55.0 N at a distance of 0.850 m from the hinges. What torque are you exerting relative to the hinges?

**Q2: **

**Q3: **

What is the torque about the origin of the force N if it is applied at the point whose position is: m?

- A N⋅m
- B N⋅m
- C N⋅m
- D N⋅m
- E N⋅m

**Q4: **

Two flywheels of negligible mass and different radii are bonded together and rotate about a common axis (see the figure). The smaller flywheel of radius 30 cm has a cord that has a pulling force of 50 N on it. What pulling force needs to be applied to the cord connecting the larger flywheel of radius 50 cm such that the combination does not rotate?

**Q5: **

A hanging mass is placed on a cord to keep a pulley from rotating, as shown. The mass on the frictionless plane is 5.0 kg. The inner radius of the pulley is 20 cm and the outer radius is 30 cm. Calculate the mass .

**Q6: **

The cylindrical head bolts on a car are to be tightened with a torque of 91.0 N⋅m. If a mechanic uses a wrench of length 65 cm, what perpendicular force must he exert on the end of the wrench to tighten a bolt correctly?

**Q7: **

When tightening a bolt, you push perpendicularly on a wrench with a force of 204 N at a distance of 0.320 m from the center of the bolt.

How much torque are you exerting relative to the center of the bolt?

**Q8: **

A force of N is applied at the point m. What is the torque of this force about the origin?

**Q9: **

What is the magnitude of the force that must be applied to end of a 5.0-m-long rod laying along the -axis in order to produce a torque on the rod about the origin of N⋅m?

**Q10: **

A simple pendulum consists of a massless tether 30 cm in length with one end connected to a pivot and a small mass of 2 kg attached to the other end. What is the magnitude of the torque about the pivot when the pendulum makes an angle of with respect to the vertical?