torque and static equilibrium

A uniform metal rod, with a mass of 3.1 kg and a length of 1.2m, is attached to a wall by a hinge at its base. A horizontal wire bolted to the wall 0.51 m above the base of the rod holds the rod at an angle of 25 degrees above the horizontal. The wire is attached to the top of the rod. (a) Find the tension in the wire. (b) Find horizontal and vertical components of the force exerted on the rod by the hinge

word problem

In his novel "From the earth to the moon", Jules Verne imagined that astronauts inside a space ship would walk on the floor of the cabin when the force exerted on the ship by the earth was greater than the force exerted by the moon. When the force exerted by the moon was greater he thought the astronauts would walk on the ceiling. (A) At what distance from the center of the earth would the forces exerted on the spaceship by the earth and the moon be equal? (B) explain why Vernes description of gravitational effects is incorrect.

The Gravitational Force

In tests on Earth a lunar surface exploration vehicle (mass = 5.90 x 10^3 kg) achieves a foward acceleration of 0.220 m/s^2. To achieve this same acceleration on the moon, the vehicle's engines must produce a drive force of 1.43 x 10^3 N. What is the magnitude of the frictional force that acts on the vehicle on the moon?

Newtons Second Law of Motion A boat has a mass of 6800 kg. Its engines generate a drive force of 4100 N, due west,while the wind exerts a force of 800 N, due east, and the water exerts a resistive force of 1200 N due east. What is the magnitude and direction of the boats acceleration?

A boat has a mass of 6800 kg. Its engines generate a drive force of 4100 N, due west,while the wind exerts a force of 800 N, due east, and the water exerts a resistive force of 1200 N due east. What is the magnitude and direction of the boats acceleration?

Nonequilibrium Applicastions of Newtons Laws of Motion A crate is resting on a ramp that is inclined at an angle 0(thada) the horizontal.As 0(thada) is increased, the crate remains in place until 0(thada)reaches a value of 38.0 degrees. Then the crate begins to slide down the slope. (a) Determine the coefficient of static friction between the crate and the ramp surface. (b) The coefficient of kinetic friction between the crate and the ramp surface is 0.600. Find the accelerration of the moving crate.

A crate is resting on a ramp that is inclined at an angle 0(thada) the horizontal.As 0(thada) is increased, the crate remains in place until 0(thada)reaches a value of 38.0 degrees. Then the crate begins to slide down the slope. (a) Determine the coefficient of static friction between the crate and the ramp surface. (b) The coefficient of kinetic friction between the crate and the ramp surface is 0.600. Find the acceleration of the moving crate.