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Consider the system of Prob. 3/309 where the mass of the ball is m = 10 kg and and the length of the light rod is l = 0.8 m. The ball-rod assembly is free to rotate about a vertical axis through O. The carriage, rod, and ball are initially at rest with θ = 0 when the carriage is given a constant acceleration α0 = 3 m/s2Write an expression for the tension T in the rod as a function of θ and calculate T for the position θ = π/2.
Estimate the daily emissions of particles from a solid-waste incinerator emitting at 0.18g/dscm. The incinerator burns 50 tonnes per day (1 tonne= 1 metric ton= 1000kg) and exhausts gases in a ratio of 20kg of gases per kg of feed
The man has a mass of 65kg and stands motionless at the end of the diving board. If the board has the cross section, determine the maximum normal strain developed in the board. The modulus of elasticity for the material is E = 117GPa
The house has a 1 m high dirt-floored crawl space. The emission rate of radon into the crawl space is reported to be 0.6 pCi/m2s. An exhaust system was added to provide 1 air exchange per hour (ACH) in the crawl space. The outdoor concentration of..
An old wooden telephone pole with a single cross member was blown off center during a recent storm. To temporarily stabilize the telephone pole, a repair crew has attached a cable from the end of the cross member to an eye-ring stake anchored in t..
The engine of an automobile supplies 180 hp at 2500 rpm to the drive shaft. If the maximum shearing stress in the drive shaft must be limited to 6 ksi, determine the minimum diameter required (in inches) for a solid drive shaft.
The average unit weight of this soil is 118 lb/ft^3, and the average moisture content is 9.6%. It also has a maximum dry unit weight of 122 lb/ft^3 and an optimum moisture content of 11.1%
Find the coeficient of friction between the trusses and the inclined. Three trusses are 1m long 1kg each.
During a hot air balloon race one specific balloon, initially at rest, accelerate vertically upward at a constant rate of a=4.5 ft/s^2 when t0=42 s from the ground the surface, which is at an altitude above mean sea level of s0=3750 ft. When the ball..
determine the horizontal distance from the point where the ball left the floor to the point where it hits the floor again. the ball leavesthe floor at x=0, y=0. determine the ball's y coordinate as afunction of x.
This problem models an insertion process. Block A (mA = 2kg) is acted on by a horizontal force F (F = 12 N). As A moves to the right, it gets pressed more and more tightly in the channel.
By continuous discharge measurements the discharge in stream was determine over a 3-year period. After the data were assembled, it was found that the discharge exceeded 120 cfs 3 percent of the time;
The design capacity of a steel pile is 250 kN. The pile is driven by a steam hammer with a manufacturer's hammer energy rating of 36 kN • m. Determine the average penetration of the pile
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