5. The coefficient of static friction between the flat bed of the truck and the crate it carries as shown in Figure 5 is u, = 0.30. (a) Set up the appropriate global axes system and draw the free body, kinematic and kinetic diagrams of the crate on the bed. (b) Determine the maximum acceleration ax and hence the maximum velocity Vmax which the truck can acquire from rest in a distance of 50m up a 10-percent grade if the crate is not to slip backward. (c) If the truck was travelling on a horizontal road with the maximum speed you have determined in part (a) above, would the minimum stopping distance be different than 50 m as given above if the crate is not to slip? Give a brief engineering explanation in support of your answer. Figure 5

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8 of 11
7
Sheffield
Hallam
University
5. The coefficient of static friction between the flat bed of the truck and the crate it
carries as shown in Figure 5 is u, = 0.30.
(a) Set up the appropriate global axes system and draw the free body, kinematic and
kinetic diagrams of the crate on the bed.
(b) Determine the maximum acceleration amux and hence the maximum velocity
Vmax which the truck can acquire from rest in a distance of 50m up a 10-percent
grade if the crate is not to slip backward.
(c) If the truck was travelling on a horizontal road with the maximum speed you have
determined in part (a) above, would the minimum stopping distance be different than
50 m as given above if the crate is not to slip? Give a brief engineering explanation
in support of your answer.
10
Figure 5
Sheffield
Transcribed Image Text:.t01-xythos.content.blackboardcdn.com 8 of 11 7 Sheffield Hallam University 5. The coefficient of static friction between the flat bed of the truck and the crate it carries as shown in Figure 5 is u, = 0.30. (a) Set up the appropriate global axes system and draw the free body, kinematic and kinetic diagrams of the crate on the bed. (b) Determine the maximum acceleration amux and hence the maximum velocity Vmax which the truck can acquire from rest in a distance of 50m up a 10-percent grade if the crate is not to slip backward. (c) If the truck was travelling on a horizontal road with the maximum speed you have determined in part (a) above, would the minimum stopping distance be different than 50 m as given above if the crate is not to slip? Give a brief engineering explanation in support of your answer. 10 Figure 5 Sheffield
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