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Use Kane's formulation to derive the differential equations of motion describing the system in Exercise 9.12.
Exercise 9.12
The small mass m is supported by a spring as it moves along the smooth incline on the cart, whose mass is M. The spring has stiffness k and its unstretched length is . Derive Hamilton's canonical equations for the system.
An air conditioner maintains the temperature of a dwelling at 72 0F when it is 96 0F outside. If heat is transferred through the walls and ceiling at 35,000 BTU/hr. a) What is the minimum power required to run the air conditioner in hP and b) calcula..
A steady flow air compressor compresses 50 lb/min from 14 psia and 80 degrees F to a discharge state at 45 psia and 300 degrees F. Heat departs from the air only via circulating water that enters the jacket at 75 degrees F and leaves at 95 degrees..
A vertical 12-cm diameter piston-cylinder device contains an ideal gas at the ambient conditions of 1 bar and 24°C. Initially, the inner face of the piston is 20 cm from the base of the cylinder. Now an external shaft connected to the piston exert..
Determine the sensible heat transmission component of the cooling load for this wall.
What is the difference in average daily hotel room rates between Minneapolis and New Orleans? Suppose we want to estimate this difference by taking hotel rate samples from each city and using a 98% confidence level. The data for such a study follo..
a hydraulic shear applies 2000 lb force to a wedge. it is used to shear plate steel to rough size. the shear has a 14
As shown, a member is fixed at the origin, point O, and has an applied force F, the tension in the rope, applied at the free end, point B. The force has magnitude F = 150 N and is directed as shown. The dimensions are x1 = 0.450 m, x2 = 1.90 m, y1 = ..
determine the phase or phases in a system consisting of h2o at the following conditions and sketch both the p-v and t-v
a rigid container is filled with 1 kg of water.the volume of the container is 125-l.the initial pressure of the
A mortar fires a projectile across a level field so that the range (R) is maximum and equal to 915 m. Find the time of flight.
a pot of 1 kg of liquid water is heated on a mountain top where the atmospheric pressure is 0.8 bar. if the liquid
The system is at rest in the position shown, with the 12-lb collar A resting on the spring (k = 20 lb/ft), when a constant 30-lb force is applied to the cable. What is the velocity of the collar when it has risen 1 ft? The collar is attached to th..
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