For the given fluctuating fatigue load, the values of stress amplitude and stress ratio are respectively

For the same material and the mass, which of the following configurations of flywheel will have maximum mass moment of inertia about the axis of rotation OO’ passing through the center of gravity

A gear train is made up of five spur gears as shown in the figure. Gear 2 is driver and gear 6 is driven member. N₂, N₃, N₄, N₅ and N₆ represent number of teeth on gears 2, 3, 5 and 6 respectively. The gear(s) which act(s) as idler(s) is/are

In the figure, link 2 rotates with constant angular velocity ω₂. A slider link 3 moves outwards with a constant relative velocity V_Q/P, where Q is a point on slider 3 and P is a point on link 2. The magnitude and direction of Coriolis component of acceleration is given by

The thermodynamic cycle shown in figure (T- s diagram) indicates

A weight of 500 N is supported by two metallic ropes as shown in the figure. The values of tensions T₁ and T₂ are respectively:

Which of the following statements are TRUE for damped vibrations?

P. For a system having critical damping, the value of the damping ratio is unity and the system does not undergo a vibratory motion.

Q. Logarithmic decrement method is used to determine the amount of damping in a physical system.

R. In case of damping due to dry friction between moving surfaces resisting force of constant magnitude acts opposite to the relative motion.

S. For the case of viscous damping, drag force is directly proportional to the square of relative velocity.

A drill is positioned at point P and it has to proceed to point Q. The coordinates of point Q in the incremental system of defining the position of a point in the CNC part program will be:

Which two of the following joining processes are autogenous?

i. Diffusion welding

ii. Electroslag welding

iii. Tungsten inert gas welding

iv. Friction welding

An air-standard Diesel cycle consists of the following processes:

1-2: Air is compressed isentropically.

2-3: Heat is added at cosntant pressure.

3-4: Air expands isentropically to the original volume.

4-1: Heat is rejected at constant volume.

If λ and T denotes the specific heat ratio and temperature, respectively the efficiency of the cycle is

The value of moment of inertia of the section shown in the figure about the axis-XX is

Figure shows a wheel rotating about O₂. Two points A and B located along the radius of wheel have speeds of 80 m/s and 140 m/s respectively. The distance between the points A and B is 300 mm. The diameter of the wheel (in mm) is ________

The figure shows a single degree of freedom system. The system consists of a massless rigid bar OP hinged at O and a mass m at end P. The natural frequency of vibration of the system is

The number of degrees of freedom of the linage shown in the figure is

In a CNC milling operation, the tool has to machine the circular arc from point (20, 20) to (10, 10) at sequence number 5 of the CNC part program. If the center of the arc is at (20, 10) and the machine has incremental mode of defining position coordinates, the correct tool path command is

A solid sphere 1 of radius ‘r’ is placed inside a hollow, closed hemispherical surface 2 of radius ‘4r’. The shape factor F_2-1 is

The value of

Laplace transform of the function f(t) is given by $F\left(s\right)=L\left\{f\left(t\right)\right\}=\underset{0}{\overset{\mathrm{\infty }}{\int }}f\left(t\right)e^{-st}dt$. Laplace transform of the function shown below is given by

A bullet spins as the shot is fired from a gun. For this purpose, two helical slots as shown in the figure are cut in the barrel. Projections A and B on the bullet engage in each of the slots

Helical slots are such that one turn of helix is completed over a distance of 0.5 m. If the velocity of bullet when it exits the barrel is 20 m/s, its spinning speed in rad/s is _______.

For the overhanging beam shown in the figure, the magnitude of maximum bending moment (in kN-m) is _____.

A cantilever bracket is bolted to a column using three M12 × 1.75 bolts, P, Q and R. The value of maximum shear stress developed in the bolt P (in MPa) is _______.

The dimensions of a cylindrical side riser (height = diameter) for a 25 cm × 15 cm × 5 cm steel casting are to be determined. For the tabulated shape factor values given below, the diameter of the riser (in cm) is ______.

For the linear programming problem:

Maximum Z = 3X₁ + 2X₂

Subject to

-2X₁ + 3X₂ ≤ 9

X₁ – 5X₂ ≥ -20

X₁, X₂ ≥ 0

The above problem has

Which of the following statements are TRUE, when the cavitation parameter σ = 0?

i. the local pressure is reduced to vapor pressure

ii. cavitation starts

iii. boiling of liquid starts

iv cavitation stops

A mixture of ideal gases has the following composition by mass:

If the Universal gas constant is 8314 J/kmol-K, the characteristic gas constant of the mixture (in J/kg.K) is _________.