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For an interval of motion the drum of radius b turns clockwise at a constant rate in radians per second and causes the carriage P to move to the right as the unwound length of the connecting cable is shortened. Use polar coordinates r and θ and derive expressions for the velocity v and acceleration α of P in the horizontal guide in terms of the angle θ Check your solution by a direct differentiation with time of the relation x2 + h2 = r2
A concrete sidewalk slab is 17.5 MPa, 4 inches deep, and 2 m long. A tree root has pushed it up so there is a 1 inch lip at the junction with the adjacent slab, and the slab is effectively 1 inch above its base underneath
a 60 -m- long steel wire must not strech more than 48mm when the tension in the wire is 6 kn. determine the corresponding value of the normal stress.
Biological treatment processes for wastewater can be catogarised as dispersed growth and attached growth systems. Discuss the advantages and disadvantages of attached growth systems over dispersed growth systems.
A room 4x5x6 meter is heated by a baseboard resistance heater. We want the heater to raise the room temperature from 7 to 23 deg C in 15 minutes. There are no heat losses from the room, and specific heat may be assumed constant.
a spot speed study was conducted on a freeway on which the mean speed and the standard deviation were found to be 72 .4 mi/hr and 5.4 mi/hr, respectively. what is the range of the values that would be expected to contain the middle 95 percent of s..
Calculate the mass of the green house gas and ozone depleting substance CFC-11 (chemical Formula = CCl3F) in the atmosphere. Use units of GtC (giga tonnes carbon). Production of this substance is now banned and mixing ratios are slowly decreasing wit..
A space is at a temperature of 75 F, and the relative humidity is 45 percent. find the partial pressures of the air and water vapor
A 55 KG bungee jumper leaps from a bridge. She is tied to a bungee cord that is 12 m long when unstretched, and falls a total of 31 m. Calculate the spring constant of the bungee cord assuming Hooke's law applies.
The motion of the outer frame B is given by xB = b sin ωt. For what range of the driving frequency ω is the amplitude of the motion of the mass m relative to the frame less than 2b?
A uniform crate weighing 15.0 kN is lifted by a sling, ABC, a small pulley and cable BD. If the tension in the sling is limited to 9.0 kN, determine the minimum length of the sling. Neglect the radius of the pulley.
Four strain gages are mounted at 90o intervals around the circumference of a 100-mm steel shaft. E= 200 GPa, and ? = 0.3. All gages are oriented at an angle of 45o with respect to the longitudinal axis of the shaft.
a component in a packaging machine is subjected to a tensile load of 36.6 KN which will be repeated several times over the life of the machine. The cross-section of the component is 12 mm thick and 20 mm wide.
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