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)
A bar of circular cross section is clamped at ends P and Q as shown in the figure Read More »
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
A rigid rod of length 1 m is resting at an angle q = 45o as shown in the figure Read More »
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
Q. A hollow circular shaft of inner radius 10 mm, outer radius 20 mm and length 1 m is to be used as a torsional spring. If the shear modulus of the material of the shaft is 150 GPa, the torsional stiffness of the shaft (in kN-m/rad) is____________(correct to two decimal places). Ans: 35.343 Sol:
Q. A local tyre distributor expects to sell approximately 9600 steel belted radial tyres next year. Annual carrying cost is Rs. 16 per tyre and ordering cost is Rs. 75. The economic order quantity of the tyres is (A) 64 (B) 212 (C) 300 (D) 1200 Ans: 300
