Q. A horizontal cantilever beam of circular cross-section, length 1.0 m and flexural rigidity EI = 200 Nยทm2 is subjected to an applied moment MA = 1.0 Nยทm 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: Given A […]
Q. The crank of a slider-crank mechanism rotates counter-clockwise (CCW) with a constant angular velocity ๐, 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 x-axis, is given by (A) โ๐2๐
Q. The activities of a project, their duration and the precedence relationships are given in the table. For example, in a precedence relationship โX < Y, Zโ means that X is predecessor of activities Y and Z. The time to complete the activities along the critical path is weeks. Activity Duration (Weeks) Precedence Relationship A
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 ยฐC, 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 ๐ is hinged at O and supported by two springs, with stiffnesses 3๐ and ๐, and a damper with damping coefficient ๐, as shown in the figure. For the system to be critically damped, the ratio ๐/โ๐๐ should be Ans: 4โ7 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, Youngโs modulus E, and area moment of inertia I, the magnitude of the maximum deflection is Ans: Sol: By using moment area IInd theorem
Q. A ball of mass 3 kg moving with a velocity of 4 m/s undergoes a perfectly-elastic direct-central impact with a stationary ball of mass m. After the impact is over, the kinetic energy of the 3 kg ball is 6 J. The possible value(s) of m is/are (A) 1 kg only (B) 6
Q. The derivative of f(x) = cos(x) can be estimated using the approximation (A) < 0.1 % (B) > 0.1 % and < 1 % (C) > 1 % and < 5 % (D) > 5 % Ans: > 0.1 % and < 1 % Sol:
The derivative of f(x) = cos(x) can be estimated using the approximation Read More ยป
Q. In an electrical discharge machining process, the breakdown voltage across inter electrode gap (IEG) is 200 V and the capacitance of the RC circuit is 50 ยตF. The energy (in J) released per spark across the IEG is Ans: 1 Sol:
