Problem 12.3 A truck is traveling down a long steady grade (0 = 15°) as shown in the figure. The crate has mass mcrate = 500 kg with height H = 1 m and length L = 2 m. The crate rests on the trailer bed and the surface has a static friction coefficient us = 0.4 and a kinetic friction coefficient μK = 0.3. To prevent the load from shifting, the driver must limit his braking. Determine the maximum truck deceleration if the crate does not slide on the trailer bed. mcrate = 500 kg L m H = 1 m 0 = 15° Ans: -2 m/s² ≤ax ≤-1 m/s²

Problem 12.3 A truck is traveling down a long steady grade (0 = 15°) as shown in the figure. The crate has mass mcrate = 500 kg with height H = 1 m and length L = 2 m. The crate rests on the trailer bed and the surface has a static friction coefficient us = 0.4 and a kinetic friction coefficient μK = 0.3. To prevent the load from shifting, the driver must limit his braking. Determine the maximum truck deceleration if the crate does not slide on the trailer bed. mcrate = 500 kg L m H = 1 m 0 = 15° Ans: -2 m/s² ≤ax ≤-1 m/s²

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Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

Problem 12.3
A truck is traveling down a long steady grade (0 = 15°) as shown in the figure. The crate has
mass mcrate = 500 kg with height H = 1 m and length L = 2 m. The crate rests on the trailer bed
and the surface has a static friction coefficient us = 0.4 and a kinetic friction coefficient μK = 0.3.
To prevent the load from shifting, the driver must limit his braking.
Determine the maximum truck deceleration if the crate does not slide on the trailer bed.
mcrate = 500 kg
L
m
H = 1 m
0 = 15°
Ans: -2 m/s² ≤ax ≤-1 m/s²

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