The turing machine m has:

• states q and p; q is the start state.
• tape symbols 0, 1, and b; 0 and 1 are input symbols, and b is the blank.
• the following next-move function:

state tape move
symbol
q 0 (q,0,r)
q 1 (p,0,r)
q b (q, b,r)
p 0 (q,0,l)
p 1 none (halt)
p b (q,0,l)

simulate m on the input 1010110, and identify one of the id's (instantaneous descriptions) of m from the list below.

(a) q010
(b) 001q0110
(c) qb
(d) q110

Aflywheel accelerates for 5 seconds at 2 rad/s2 from a speed of 20 rpm. determine the total number of revolutions of the flywheel during the period of its acceleration. a.5.65 b.8.43 c. 723 d.6.86

Awall of 0.5m thickness is to be constructed from a material which has average thermal conductivity of 1.4 w/mk. the wall is to be insulated with a material having an average thermal conductivity of 0.35 w/mk so that heat loss per square meter shall not exceed 1450 w. assume inner wall surface temperature of 1200°c and outer surface temperature of the insulation to be 15°c. calculate the thickness of insulation required.

Amixture of slurry and mud is to be pumped through a horizontal pipe of diameter 500 mm. the fluid behaves as a bingham plastic with a yield stress of 30 pa and viscosity 0.04 pa.s. describe the effects of the shear stress through a transverse section of the pipe by plotting the variation in shear stress and velocity profile: (i) just before the slurry starts to move (ii) as the slurry flows when the pressure gradient is double that in part (i)