Q. Water flows through two different pipes A and B of the same circular cross-section but at different flow rates. The length of pipe A is 1.0 m and that of pipe B is 2.0 m. The flow in both the pipes is laminar and fully developed. If the frictional head loss across the length of the pipes is ...

Q. A short shoe external drum brake is shown in the figure. The diameter of the brake drum is 500 mm. The dimensions a = 1000 mm, b = 500 mm and c = 200 mm. The coefficient of friction between the drum and the shoe is 0.35. The force applied on the lever F = 100 N as shown in the figure. The drum ...

Q. A uniform disc with radius 𝑟 and a mass of 𝑚 kg is mounted centrally on a horizontal axle of negligible mass and length of 1.5𝑟. The disc spins counter-clockwise about the axle with angular speed 𝜔, when viewed from the right-hand side bearing, Q. The axle precesses about a vertical axis at 𝜔𝑝 ...

Q. The probability that a part manufactured by a company will be defective is 0.05. If 15 such parts are selected randomly and inspected, then the probability that at least two parts will be defective is  (round off to two decimal places). Ans: 0.16 - 0.18 Sol: ⇒ Probability of 0 or 1 ...

Q. Two masses A and B having mass ma and mb, respectively, lying in the plane of the figure shown, are rigidly attached to a shaft which revolves about an axis through O perpendicular to the plane of the figure. The radii of rotation of the masses ma and mb are ra and rb, respectively. The angle ...

Q. A horizontal cantilever beam of circular cross-section, length 1.0 m and flexural rigidity EI = 200 N·m2 is subjected to an applied moment MA = 1.0 N·m at the free end as shown in the figure. The magnitude of the vertical deflection of the free end is____mm Ans: 2.4 - 2.6 Sol: ...

Q. The crank of a slider-crank mechanism rotates counter-clockwise (CCW) with a constant angular velocity 𝜔, as shown. Assume the length of the crank to be r. Using exact analysis, the acceleration of the slider in the y-direction, at the instant shown, where the crank is parallel to ...

Q. The activities of a project, their duration and the precedence relationships are given in the table. For example, in a precedence relationship “X < Y, Z” means that X is predecessor of activities Y and Z. The time to complete the activities along the critical path is weeks. ...

Q. The binary phase diagram of metals P and Q is shown in the figure. An alloy X containing 60% P and 40% Q (by weight) is cooled from liquid to solid state. The fractions of solid and liquid (in weight percent) at 1250 °C, respectively, will be Ans: 22.2% and 77.8% Sol:

Q. The figure shows a heat engine (HE) working between two reservoirs. The amount of heat (Q2) rejected by the heat engine is drawn by a heat pump (HP). The heat pump receives the entire work output (W) of the heat engine. If temperatures, T1 >T3 >T2 , then the relation between the efficiency (h ) ...

Q. A slender uniform rigid bar of mass 𝑚 is hinged at O and supported by two springs, with stiffnesses 3𝑘 and 𝑘, and a damper with damping coefficient 𝑐, as shown in the figure. For the system to be critically damped, the ratio 𝑐/√𝑘𝑚 should be Ans: 4√7 Sol:

Q. A prismatic, straight, elastic, cantilever beam is subjected to a linearly distributed transverse load as shown below. If the beam length is L, Young’s modulus E, and area moment of inertia I, the magnitude of the maximum deflection is Ans: Sol: By using moment area IInd ...