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Consider again the demonstration gyro from Example 11.13. Instead of the small mass having a fixed position, suppose it is connected to a spring of spring constant k and unstretched length l0 that is attached to the post.
a. How many degrees of freedom does the system have?
b. Find the equations of motion for the entire system.
c. Suppose the gyro is spinning but otherwise balanced and an impulse is applied to the small mass. What is the total angular momentum before and after the impulse?
d. Let the mass of the gyro be 5 kg, the small mass be 2 kg, and set l = 0.5 m and l = 0.25 m. The gyro is spinning at a rate of 1 rad/s, and has the moment of inertia of a thin circular disk with a radius of 10 cm. The spring has a constant of 0.1 N/m and a rest length of zero. Numerically integrate the equations of motion after an impulse is applied (you can choose the size of the impulse). Qualitatively describe the resulting motion. Remember that the system is at rest before the impulse is applied when choosing your initial conditions.
e. Suppose a damper is added in addition to the spring. What is the steadystate configuration of the system?
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Determine the missing property among P,T
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A commercial refrigerator with refrigerant- 134a as the working fluid is used to keep the refrigerated space at 235°C by rejecting waste heat to cooling water that enters the condenser at 18°C at a rate of 0.25 kg/ s and leaves at 26°C.
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The PBASIC program identify the functions and syntax.
the temperature profile at a location in water flowing over a flat surface is experimentally measure to be tdegc
Determine the optimum fin height andthe rate of heat transfer by natural convection from the heatsink if the base temperature is 65°C.
A ball is thrown vertically up with a velocity of 91 ft/sec at the edge of a 190-ft cliff. Calculate (a) the height h to which the ball rises and (b) the total time t after release for the ball to reach the bottom of the cliff.
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