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diagonalize A= {{2,-1,-1},{1,4,1},{-1,-1,2}}
and compute A^2345

Draw detailed free body diagram for truck, man pushing the cart and cart individually and also free body diagram as a whole.



The output SNR for a 10- bit PCM was found to be 30 dB. The desired SNR is 42 dB. It was decided to increase the SNR to the desired value by increasing the number of quantization levels L. Find the fractional increase in the transmission bandwidth required for this increase in L.
Water is supplied to an axial flow turbine under a Total head of 35 m. The mean diameter of the runner is 2 m and is rotates at 145 rev/metre. Water leaves the guide vanes at 30 degrees to the direction of runner rotation at it mean radius and angle of the runner blade at outlet is 28 degrees. If 7% of the total head is lost in the casing and guide vanes and the relative velocity is reduced by 8% due to friction in the runner, determine the blade angle at inlet (at mean radius) and the hydraulic efficiency of the turbine.
An outward radial - flow impulse turbine has nozzles with a total effective area of 970mm² and the guide vanes make an angel of 20 degree to the tangent at exit. The inner and outer diameter of the runner are 508mm and 712mm respectively, and the moving vanes have an outlet angle making 20 degree to the tangent. When running at 620rev/min under a head of 61m the discharge is 1.8m cube/min and the power outlet is 11.9kw . The water is observed to leave the runner in a forward direction and inclined at 15 degree to the radius. Assuming the water leaves tangentially to the moving vanes, calculate the head lost in

a) the nozzles

b) the moving vanes

c) bearing friction and windage .

An outward radial - flow impulse turbine has nozzles with a total effective area of 970mm² and the guide vanes make an angel of 20 degree to the tangent at exit. The inner and outer diameter of the runner are 508mm and 712mm respectively, and the moving vanes have an outlet angle making 20 degree to the tangent. When running at 620rev/min under a head of 61m the discharge is 1.8m cube/min and the power outlet is 11.9kw . The water is observed to leave the runner in a forward direction and inclined at 15 degree to the radius. Assuming the water leaves tangentially to the moving vanes, calculate the head lost in

a) the nozzles

b) the moving vanes

c) bearing friction and windage .


2 mWb is to be produced in the air gap of the magnetic circuit shown in figure 21.17.
How much ampere turns the coil must provide to achieve this?
Relative permeability μr of the core material may be assumed to be constant and equal to
5000. All the dimensions shown are in cm and the sectional area is 25cm2
through out.
Research any three electrical problems found on any three motor vehicles as well as documentation needed to solve the problems.
Range: any three electrical problems examples (any lights, wiper motor, hooter cigarette, lighter). Documentation: current flow diagrams, specifications, manufacturer reports.
A piezoelectric accelerometer has a damping ratio of 0.65, a proof mass of 0.5 grams, and a spring rate of 10,000 N/mm. What is the damped natural frequency in hz of this device? (Type in an integer)

Hint: Make sure your units of measure are consistent first, then use the formulae to calculate the natural and damped natural frequencies.
A newly hired librarian was given a set of 10 new books on Computer and English Each. The stack of computer
books was placed above the English books. The librarian was asked to find the total spent on computer books; prices
were marked on the back cover of the each book. Draw a flowchart and write a code for the process. You can
assume any memory location (1000-4000) and prices (1-100) in hexadecimal.
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