holaa
Oct 18, 2011, 05:56 PM
A factory machine is required to pull heavy crates up a frictionless ramp. If the machine's motor can exert a maximum force of 1100 N, and the crates have a mass of 1800 kg, what is the maximum angle the ramp can set at for the machine to move the crates?
ebaines
Oct 19, 2011, 05:54 AM
The force the motor has to overcome is the component of the crate's weight W that is along the direction of the ramp (tangential to the inclined plane). If the ramp is inclined at an angle \theta , the components of the crate's weight are W \cos \theta normal to the inclined plane and W \sin \theta tangential to the incline. Can you take it from here?