Q. In a four bar planar mechanism shown in the figure, AB = 5 cm, AD = 4 cm and DC = 2 cm. In the configuration shown, both AB and DC are perpendicular to AD. The bar AB rotates with an angular velocity of 10 rad/s. The magnitude of angular velocity (in rad/s) of bar DC at this instant is ...

Q. A car having weight W is moving in the direction as shown in the figure. The center of gravity (CG) of the car is located at height h from the ground, midway between the front and rear wheels. The distance between the front and rear wheels is l. The acceleration of the car is a, and ...

Q. The variable x takes a value between 0 and 10 with uniform probability distribution. The variable y takes a value between 0 and 20 with uniform probability distribution. The probability of the sum of variables (x + y) being greater than 20 is Ans: 0.25 Sol: Given that 0 ≤ x ≤ 10 ...

Q. A harmonic function is analytic if it satisfies the Laplace equation. If 𝑢(𝑥, 𝑦) = 2𝑥2 − 2𝑦2 + 4𝑥𝑦 is a harmonic function, then its conjugate harmonic function 𝑣(𝑥, 𝑦) is              (A) 4𝑥𝑦 − 2𝑥2 + 2𝑦2 + constant ...

Q. The set of equations 𝑥 + 𝑦 + 𝑧 = 1 𝑎𝑥 – 𝑎𝑦 + 3𝑧 = 5 5𝑥 − 3𝑦 + 𝑎𝑧 = 6 has infinite solutions, if a = (A) −3(B) 3(C) 4(D) −4Ans: 4 Sol: ρ(A)=ρ(AB)< no.of variables|A|=0

Q. Consider the stress-strain curve for an ideal elastic-plastic strain hardening metal as shown in the figure. The metal was loaded in uniaxial tension starting from O. Upon loading, the stress-strain curve passes through initial yield point at P, and then strain hardens to point Q, where the ...

Q. Air of mass 1 kg, initially at 300 K and 10 bar, is allowed to expand isothermally till it reaches a pressure of 1 bar. Assuming air as an ideal gas with gas constant of 0.287 kJ/kg.K, the change in entropy of air (in kJ/kg.K, round off to two decimal places) is   Ans: 0.66 Sol:

Q. During a high cycle fatigue test, a metallic specimen is subjected to cyclic loading with a mean stress of +140 MPa, and a minimum stress of −70 MPa. The R-ratio (minimum stress to maximum stress) for this cyclic loading is Sol:

Q. A solid cube of side 1 m is kept at a room temperature of 32 °C. The coefficient of linear thermal expansion of the cube material is 1x10-5 / °C and the bulk modulus is 200 GPa. If the cube is constrained all around and heated uniformly to 42 °C, then the magnitude of volumetric (mean) stress ...

Q. A cylindrical rod of diameter 10 mm and length 1.0 m is fixed at one end. The other end is twisted by an angle of 10° by applying a torque. If the maximum shear strain in the rod is px10-3, then p is equal to (round off to two decimal places). Sol: