Q. During a non-flow thermodynamic process (1-2) executed by a perfect gas, the heat interaction is equal to the work interaction (Q1-2 = W1-2) when the process is             (A) Isentropic                           (B) Polytropic             (C) Isothermal                           (D) Adiabatic Ans: Isothermal                          

Q. A spur gear with 20° full depth teeth is transmitting 20 kW at 200 rad/s. The pitch circle diameter of the gear is 100 mm. The magnitude of the force applied on the gear in the radial direction is             (A) 0.36 kN          (B) 0.73 kN               (C) 1.39 kN               (D) 2.78 kN Ans: 0.73

Q. The natural frequencies corresponding to the spring-mass systems I and II are 𝜔𝐼 and 𝜔𝐼𝐼, respectively. The ratio 𝜔𝐼/𝜔𝐼I is Ans: 1/2 Sol:

Q. A flat-faced follower is driven using a circular eccentric cam rotating at a constant angular velocity 𝜔. At time 𝑡 = 0, the vertical position of the follower is 𝑦(0) = 0, and the system is in the configuration shown below. The vertical position of the follower face, 𝑦(𝑡) is given by            (A) 𝑒

Q. The lengths of a large stock of titanium rods follow a normal distribution with a mean (𝜇) of 440 mm and a standard deviation (𝜎) of 1 mm. What is the percentage of rods whose lengths lie between 438 mm and 441 mm?             (A) 81.85%           (B) 68.4%                  (C) 99.75%                  (D) 86.64% Ans: 81.85%

Q. A parabola x = y2 with 0 £ x £ 1 is shown in the figure. The volume of the solid of rotation obtained by rotating the shaded area by 360° around the x-axis is Ans: π/2 Sol:

Q. M and N had four children P, Q, R and S. Of them, only P and R were married. They had children X and Y respectively. If Y is a legitimate child of W, which one of the following statements is necessarily FALSE? (A) M is the grandmother of Y  (B) R is the