A 1 450-kg automobile has a wheel base (the distance between the axles) of 2.90 m. The automobile's center of mass is on the centerline at a point 1.30 m behind the front axle. Find the force exerted by the ground on each wheel. each front wheel           kN each rear wheel           kN

Under what conditions can a rotating body be in equilibrium? Give an example.

Check Your Understanding A hollow cylinder is on an incline at an angle of 60 . The coefficient of static friction on the surface is s=0.6 . (a) Does the cylinder roll without slipping? (b) Will a solid cylinder roll without slipping?

Two children push on opposite sides of a door during play. Both push horizontally and perpendicular to the door. One child pushes with a force of 17.5 N at a distance of 0.600 m from the hinges, and the second child pushes at a distance of 0.450 m. What force must the second child exert to keep the door from moving? Assume friction is negligible.

In order to lift a shovelful of dirt, a gardener pushes downward on the end of the shovel and pulls upward at distance l2 from the end, as shown below. The weight of the shovel is mg and acts at the point os application of F2 . Calculate the magnitudes of the forces F1 and F2 as functions of l1 , l2 , mg, and the weight W of the load. Why do your answers not depend on the angle that shovel makes with the horizontal?

A horizontal force F is applied to a uniform sphere in direction exact toward the center of the sphere, as shown below. Find the magnitude of this forcee so that the sphere remains in static equilibrium. What is the frictional force of the incline on the sphere?

Suppose just two external forces act on a stationary, rigid object and the two forces are equal in magnitude and opposite in direction. Under what condition does the object start to rotate?

If an odd number of forces act on an object, the object cannot be in equilibrium.

A wooden door 2.1 m high and 0.90 m wide is hung by two hinges 1.8 m apart. The lower hinge is 15 cm above the bottom of the door. The center of mass of the door is at its geometric center, and the weight of the door is 260 N, which is supported equally by both hinges. Find the horizontal force exerted by each hinge on the door.

Check Your Understanding A large ocean-going ship runs aground near the coastline, similar to the fate of the Costa Concordia, and lies at an angle as shown below. Salvage crews must apply a torque to right the ship in order to float the vessel for transport. A force of 5.0105Nacting at point A must be applied to right the ship. What is the torque about the point of contact of the ship with the ground (Figure 10.36)?