Question 21. A two wheel drive tractor, weighing 15.84 kN with a wheel base of 2160 mm, has the static weight divided between the front and rear axles in the ratio of 30 : 70 on a horizontal level surface. The hitch point is at a height of 700 mm from the ground and at a horizontal distance of 120 mm to the rear side from the center of the rear axle. Pull acts at an angle of 12° downwards from the horizontal. The maximum pull in kN, when the front wheels would just start rising from the ground is

Question 22. The inverse Laplace Transform of s2/(s - 3)3 can be written as e3t/2[At2 + Bt + C]. The values of A, B and C, respectively are

Question 23. The thresher of a wheat combine harvester has an optimal throughput capacity of 2400 kg (crop) per hour. The harvester has a forward velocity of 4.5 km h-1. Sample tests have revealed that the yield of crop in the field is 3000 kg (grain) per ha. Grain to straw ratio is 60 : 40. If the above throughput is to be maintained, the width of cut of the harvester in m, neglecting turning losses, is

Question 24. In a disc clutch, the inside and outside radii of the clutch plate are 50 and 100 mm, respectively. If the axial force exerted on the disc is 4 kN, the maximum pressure experienced by the clutch plate in N mm-2 under uniform wear conditions is

Question 25. A trapezoidal canal, having a bottom width of 5.0 m and a side slope of 1 H : 1 V, is carrying a discharge of 20 m3 s-1. The critical depth, in m, is

Question 26. A regime channel carrying a discharge of 25 m3 s-1 is designed using Lacey's regime theory. The side slope of the channel is ½ H : 1 V, and Lacey's silt factor is unity. The bottom width and depth of flow in the channel, in m, respectively are

Question 27. If C = A×B , where A = 2i - j + 3k and B = i + 2j ; then C is

Question 28. The general solution of the differential equation d2y/dx2 -3 dy/dx - 4y = 0 is

Question 29. Poisson distribution having a mean of 5 will have √5 as

Question 30. In an experimental setup, the discharge through a triangular notch is 0.0074 m3 s-1 at an operating head of 0.1 m. The coefficient of discharge for the notch is 0.7. If the required discharge is 0.1 m3 s-1 the corresponding head in m is