A crate of mass 40.0 kg is pulled by a force of 2000 N, up an inclined plane which
makes an angle of 30º with the horizon. The coefficient of kinetic friction between the
plane and the crate is miu.k = 0.20. If the crates starts from rest, calculate its speed after it
has been pulled 10.0 m. Draw the free body diagram. Take
g=10.0 ms-² .
A light arm 500m long, pivoted at its center, carries a 10kg mass at each end. If a couple of 3Nm is applied to the arm, calculate the angular acceleration produced.
Two tugs are pulling a vessel in water. Tug A is at an angle of 25º to the direction of travel and tug B is at an angle of 10º to the direction of travel. A resultant force of 150kN is produced by the two tugs. Calculate the force in the tugs ropes.
A piano mover pushes a piano (m = 275 kg) with an applied horizontal of 1075 N. This causes the piano to accelerate, from rest, to a final velocity of 0.92 m/s over a time of 5.0 s. Calculate:
a) The acceleration of the piano.
b) The net force acting on the piano.
c) The normal force acting on the piano.
d) The coefficient of kinetic friction between the piano and the floor.
An office worker attempts to move a filing cabinet (m = 48 kg). The coefficient of static friction between the floor and the filing cabinet is 0.53.
a) Calculate the normal force acting on the filing cabinet.
b) Calculate the minimum horizontal force that the office worker must apply to the filing
cabinet to JUST move it.