The crate shown has a weight of 50 lb and is acted upon by a force having a variable magnitude P=(20t) lb, where t is in seconds. Compute the crate's velocity 2 s after P has been applied. The crate has an initial velocity V1=3 ft/s down the plane, and the coefficient of kinetic friction between the crate and the plane is Uk=0.3.
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| Figure |
Solution:
- Construct a free-body diagram:
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| Free-Body Diagram |
- Given:
- W=50 lb
- P=(20t) lb
- t1 = 0
- t2 = 2 s
- V1 = 3 ft/s
- Uk = 0.3
- Find V2
Working equation:
Substitute the given values:
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