In a Lagrangian system, the position of a fluid particle in a flow is described as

In a Lagrangian system, the position of a fluid particle in a flow is described as

Q. In a Lagrangian system, the position of a fluid particle in a flow is described as 𝑥 = 𝑥𝑜𝑒−𝑘𝑡 and 𝑦 = 𝑦𝑜𝑒𝑘𝑡 where t is the time while 𝑥𝑜, 𝑦𝑜, and k are constants. The flow is A. unsteady and one-dimensional B. steady and two-dimensional C. steady and one-dimensional D. unsteady and two-dimensional […]

In a Lagrangian system, the position of a fluid particle in a flow is described as Read More »

A tank open at the top with a water level of 1 m, as shown in the figure, has a hole at a height of 0.5 m

A tank open at the top with a water level of 1 m, as shown in the figure, has a hole at a height of 0.5 m

Q. A tank open at the top with a water level of 1 m, as shown in the figure, has a hole at a height of 0.5 m. A free jet leaves horizontally from the smooth hole. The distance X (in m) where the jet strikes the floor is (A) 0.5                        (B) 1.0                        (C) 2.0                      

A tank open at the top with a water level of 1 m, as shown in the figure, has a hole at a height of 0.5 m Read More »

A self-aligning ball bearing has a basic dynamic load rating (C10, for 106 revolutions) of 35 kN

A self-aligning ball bearing has a basic dynamic load rating (C10, for 106 revolutions) of 35 kN

Q. A self-aligning ball bearing has a basic dynamic load rating (C10, for 106 revolutions) of 35 kN. If the equivalent radial load on the bearing is 45 kN, the expected life (in 106 revolutions) is (A) below 0.5                (B) 0.5 to 0.8                (C) 0.8 to 1.0               (D) above 1.0 Ans: below 0.5

A self-aligning ball bearing has a basic dynamic load rating (C10, for 106 revolutions) of 35 kN Read More »

A carpenter glues a pair of cylindrical wooden logs by bonding their end faces at an angle of q = 30° as shown in the figure

A carpenter glues a pair of cylindrical wooden logs by bonding their end faces at an angle of q = 30° as shown in the figure

Q. A carpenter glues a pair of cylindrical wooden logs by bonding their end faces at an angle of q = 30° as shown in the figure. The glue used at the interface fails if Criterion 1: the maximum normal stress exceeds 2.5 MPa. Criterion 2: the maximum shear stress exceeds 1.5 MPa. Assume that the

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An epicyclic gear train is shown in the figure below. The number of teeth on the gears A, B and D are 20, 30 and 20, respectively

An epicyclic gear train is shown in the figure below. The number of teeth on the gears A, B and D are 20, 30 and 20, respectively

Q. An epicyclic gear train is shown in the figure below. The number of teeth on the gears A, B and D are 20, 30 and 20, respectively. Gear C has 80 teeth on the inner surface and 100 teeth on the outer surface. If the carrier arm AB is fixed and the sun gear

An epicyclic gear train is shown in the figure below. The number of teeth on the gears A, B and D are 20, 30 and 20, respectively Read More »

The state of stress at a point, for a body in plane stress, is shown in the figure below

The state of stress at a point, for a body in plane stress, is shown in the figure below

Q. The state of stress at a point, for a body in plane stress, is shown in the figure below. If the minimum principal stress is 10 kPa, then the normal stress s y(in kPa) is (A) 9.45                      (B) 18.88                    (C) 37.78                   (D) 75.50 Ans: 37.78 

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Let X1, X2 be two independent normal random variables with means µ1, µ2 and standard deviations s1, s2,

Let X1, X2 be two independent normal random variables with means µ1, µ2 and standard deviations s1, s2,

Q. Let X1, X2 be two independent normal random variables with means µ1, µ2 and standard deviations s1, s2, respectively. Consider Y = X1 – X2; µ1 = µ2 =1, s1 = 1, s2 = 2. Then, A. Y is normally distributed with mean 0 and variance 1 B. Y is normally distributed with mean

Let X1, X2 be two independent normal random variables with means µ1, µ2 and standard deviations s1, s2, Read More »

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