A truck for which the information in Figure 10.8 applies operates over a haul road with a +4% slope and a rolling resistance of 90 lb/ton. If the gross vehicle weight is 70,000 lb, determine the truck's maximum speed.

Suppose that over the next T = 30 seconds the driver can choose from the three possible force profiles, F(t), shown above, where P = 2000 N is the same maximum force reached during each profile. Write down an expression for each of the force profiles F1(t), F2(t), F3(t) as a function of the magnitude P and time. You can construct the force profiles from a combination of Heaviside functions and ramps (straight lines) with appropriate slope. Drag D 0 T/2 Case 1 U-HUT 3TAMATIU АЧАИ t $32 Speed v(t) P 10.100 t T/2 T T/2 Case 2 Case 3 T Force F(t)

A 300 HP crawler tractor is pulling a wagon of 25 cu yd capacity equipped with highpressure tires. The weights of the crawler tractor and the empty wagon are 25 tonsand 15 tons respectively. The haul road is well maintained and compacted earth.Select highest figure in range for rolling resistance. The coefficient of traction is0.75. Half of the weight of the crawler tractor and half of the weight of the loadedwagon need to be considered in the slippage check. No penetration occurs as thesurface is hard enough. The average temperature and barometric pressure at thesite location are 30oC and 56.00 cm of Hg respectively. The drawbarpull producedby the tractor at standard conditions is given in the machine’s manual as 15,000 kgin first gear. What is the gradability of the tractor/wagon combination if the wagon isloaded with dry earth? Take a gradability safety factor of 85%.

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