2 ft/s 3 ft In a preliminary design for a mail-sorting machine, parcels moving at 2 ft/s slide down a smooth inclined ramp with 3 ft high and a horizontal surface which kinetic coefficient of friction uk with the parcel is 0.24. If the spring constant is 182 Ibf/ft., how long should be the horizontal surface if you want the 62 Ibf parcel to be brought to rest by a linear spring that deflects 5 in

Q4

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positive stationary splitter, 6-27E A 100-ft/s water jet is moving in the x-direction at 18 ft/s. The stream hits a such that half of the flow is diverted upward at 45° and the other half is directed downward, and both streams have a final speed of 18 ft/s. Disregarding gravitational effects, and approximating the flow as uniform at any cross section, determine the x- and z-components of the force required to hold the splitter in place against the water force. X 100 ft³/s- FIGURE P6-27E 45° 45° 18 ft/s Splitter

6.29 An open rectangular tank of dimensions 4m x 3m x 2m contains water to a height of 1.6m. It is then accelerated along the longer side. What is the maximum acceleration possible without spilling the water? If this acceleration is then increased by 10%, what amount of water will be spilt off? (a) 1.472 m/s? and 0.48m3 (b) 1.962m/s? and 0.48m3 (c) 1.472 m/s? and 0.52m3 (d) 1.962 m/s? and 0.52 m3

Mass 80 kg

2. A uniform rectangular block is attached to a cart that is accelerating up a 20° incline at 3 m/s². The block is attached to a cart by a hinge at Point A and a roller at Point B. a. What is the force that the roller is applying to the block at Point B? b. What is the force that the hinge is applying to the block at Point A? Y a = 3 m/s² х 20° 0.8 m m= 100 kg B 0.6 m 1.0 m g

Please show intermediate steps including free body diagrams, equations used, and problem setup, so that your approach can be followed.