The pitch circle diameter of the smaller of the two spur wheels which mesh externally and have involute teeth is 100 mm. The number of teeth are 16 and 32. The pressure angle if 20 degree and the addendum is 0.32 of the circular pitch. Find the length of the path of contact of the pair of teeth.
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4) For a system with the transfer function H(s+2 s2 +4s +3 a) find its frequency response. b) determine its stability. c) if the input is 3 cos(2t)u(t), find the steady-state output. 5) Sketch the Bode plots for the transfer functions 10s (s +10) (s2 + 2s +5) H(s)- with the aid of your calculator.
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75 children went to an amusement park, where they can ride on the merry go round, roller coaster, and the Ferris wheel. It is known that 20 of them taken all the three rides, and 55 of them taken have taken at least 2. Each ride costs 5 rupees and the total collection of the park was 700 rupees. Determine the number who did not try any of the rides. Solve by sets
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A double-threaded Acme screw of known major diameter is used in a jack having a plain thrust collar of known mean diameter. Coefficients of running friction are estimated as 0.09 for the collar and 0.12 for the screw. Assume that the starting friction is about 1/3 higher than running friction (a)Determine the pitch, lead, thread depth, mean pitch diameter, and helix angle of the screw (b)Estimate the starting torque for raising and for lowering a 4000 N load (c) lf the screw is lifting a 4000 N load, determine the efficiency of the jack Double-threaded
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What are the characteristics of queues? Explain simulation of a single-server queuing system considering the inter-arrival time and the service time for the first 10 customers to be: Inter-arrival time: (0, 17, 13, 22, 30, 18, 5, 15, 10, 12) min; Service time: (20, 15, 10, 6, 15, 18, 10, 10, 8, 12) min Simulate the system, and Obtain average waiting time of customers, average idle time of server, and average queue length (considering the customer being served to form a queue). Plot the performance of the queuing system.
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