Q. Air flows at the rate of 1.5 m3/s through a horizontal pipe with a gradually reducing cross- section as shown in the figure. The two cross-sections of the pipe have diameters of 400 mm and 200 mm. Take the air density as 1.2 kg/m3 and assume inviscid incompressible flow. The change in pressure ( […]

Q. A bimetallic cylindrical bar of cross sectional area 1 m2 is made by bonding Steel (Young’s modulus = 210 GPa) and Aluminium (Young’s modulus = 70 GPa) as shown in the figure. To maintain tensile axial strain of magnitude 10-6 in Steel bar and compressive axial strain of magnitude 10-6 in Aluminum bar, the

Q. In a cam-follower, the follower rises by h as the cam rotates by δ (radians) at constant angular velocity ω (radians/s). The follower is uniformly accelerating during the first half of the rise period and it is uniformly decelerating in the latter half of the rise period. Assuming that the magnitudes of the acceleration

Q. A bar of circular cross section is clamped at ends P and Q as shown in the figure. A torsional moment 𝑇 = 150 Nm is applied at a distance of 100 mm from end P. The torsional reactions (𝑇𝑃, 𝑇𝑄) in Nm at the ends P and Q respectively are (A) (50, 100)            

Q. A rigid rod of length 1 m is resting at an angle q = 45o as shown in the figure. The end P is dragged with a velocity of U = 5 m/s to the right. At the instant shown, the magnitude of the velocity V (in m/s) of point Q as it moves

Q. Let X1 and X2 be two independent exponentially distributed random variables with means 0.5 and 0.25, respectively. Then Y = min (X1, X2) is A. exponentially distributed with mean 1⁄6 B. exponentially distributed with mean 2 C. normally distributed with mean 3⁄4 D. normally distributed with mean 1⁄6 Ans: exponentially distributed with mean 1⁄6

Q. A ball is dropped from rest from a height of 1 m in a frictionless tube as shown in the figure. If the tube profile is approximated by two straight lines (ignoring the curved portion), the total distance travelled (in m) by the ball is ______________________(correct to two decimal places). Ans: 2.40-2.42

Q. The arrival of customers over fixed time intervals in a bank follow a Poisson distribution with an average of 30 customers/hour. The probability that the time between successive customer arrival is between 1 and 3 minutes is____________(correct to two decimal places). Ans: 0.36 – 0. 40 Sol:

Q. An engine operates on the reversible cycle as shown in the figure. The work output from the engine (in kJ/cycle) is  _________(correct to two decimal places). Ans: 62-63

Q. The viscous laminar flow of air over a flat plate results in the formation of a boundary layer. The boundary layer thickness at the end of the plate of length L is δL. When the plate length is increased to twice its original length, the percentage change in laminar boundary layer thickness at the