Linear Impulse-Momentum Principle - Example Problem 9.3-8
In a receiving warehouse, a 30-kg crate slides down a conveyor belt with negligible friction and is brought to rest by a hydraulic mechanism applying a constant force. If the conveyor belt is inclined at θ = 25 degrees and the package is released from rest, determine (a) the speed of the package when it arrives at the bottom of the ramp, and (b) the force applied by the hydraulic mechanism if the package is brought to rest in 0.10 seconds.
Given:
- m = 30 kg
- v1 = 0
- v3 = 0
- θ = 25o
- t2-3 = 0.1 s
- state 1 = at rest at the top of the conveyor belt
- state 2 = when the crate reaches the hydraulic mechanism
- state 3 = when the crate has been brought to rest
Find:
- v2
- F
Video solution:
The following video walks you through the solution to this problem. It is suggested that you try solving the problem first and then, if you have difficulties with the solution, watch the video for help.
Interactive solution:
Draw a free-body diagram of the crate.
Use the work-energy method to determine the speed of the crate when it arrives at the hydraulic mechanism.