Dynamics Problems

Question

1. A 25.0 kg crate is placed on a ramp set at an angle of 32°. The coefficient of static friction between the crate and the ramp is 0.55. Will the crate slide down the ramp?

1. What is the force that is pushing the crate down the ramp? How much force is pushing the crate down the ramp?
2. What force is acting to keep the crate from sliding down the ramp? What is the maximum value of this force?
3. Does the crate slide down the ramp? If yes, how much force must be applied up the ramp to hold the crate in place?

Answer 1

Force acting down the ramp = mgSin 32 - µ mg Cos 32 = 25*9.8 *Sin32 - 0.55*25*89.8Cos32 = 129.83 -114.27 = 15.56 N

1. 129.83 N
2. 114.27 N ( Static Friction)
3. yes , The force needed = 15.56 N