List of top Production and Industrial Engineering Questions

A key of width and height of 6 mm each is used to fix a gear on a shaft of 20 mm diameter. The shaft is used to transmit 10 kW power at 600 rpm to the gear. Permissible shear stress in the key is 80 N/mm\(^2\), while compressive stress in the key is neglected. The minimum length of the key, in mm, is .................

A pair of spur gears is designed to transmit 20 kW power at a pitch line velocity of 10 m/s. Diameter of the driving gear is 0.5 m. The tangential force, in N, between the driver and the driven gear is ................. (in integer).

Two products, P and Q, are sold in the ratio of 10:1. The fixed cost is Rs. 1,40,000. The selling price of P is Rs. 10/unit and Q is Rs. 40/unit. The variable costs of P and Q are Rs. 5/unit and Rs. 20/unit, respectively. The break-even point in terms of revenue, in Rs., is ................. (in integer).

A CNC water jet cutting machine is used to cut a straight slot between the points (2, 1) and (10, 10) on the XY plane (dimensions are in mm). If the feed rate is 1.5 mm/s, the time, in s, required to machine the slot following the shortest path, is ................. (round off to 2 decimal places).

In an orthogonal cutting with a tool of rake angle \(0^\circ\), the value of the cutting force is two times of the thrust force. The coefficient of friction is ................. (round off to 1 decimal place).

The solidification of a cubical casting of side 100 mm takes place with volumetric solidification shrinkage and solid contraction of 10% each. The shape of the casting is retained on cooling to room temperature. The side of the cubical cast, in mm, at room temperature is ................. (round off to 2 decimal places).

A straight turning operation is carried out at the feed rate of 100 mm/min using a single point cutting tool with signature 8 – 8 – 5 – 5 – 7 – 25 – 0 (ASA). The spindle speed is 1600 rpm. The roughness, in μm, of the machined surface in terms of peak-to-valley height is ................. (round off to 2 decimal places).

The work sampling study, with 100 observations, revealed 25% idle time of a worker. The number of observations required for ±10% accuracy and 95.45% confidence level is ................. (in integer).

A system has 10 essential components. Each component has an exponential time-to-failure distribution with constant failure rate of 0.04 per 4000 hours. The mean-time-to-failure, in hours, of the system is .................

As per the Fe-C phase diagram, the microstructure of plain carbon steel with 0.4 wt.% carbon at room temperature contains

The following equation is solved using Newton-Raphson method \[ x^5 - 15 = 0 \] with initial value \(x_0 = 1.0\). The value of first approximation \(x_1\) is ................. (round off to 2 decimal places).

The most appropriate process for manufacturing of plastic chair is

The total number of nonconformities is 420 from 30 samples. The size of each sample is 100. The lower control limit for the control chart for number of nonconformities is ................. (round off to 2 decimal places).

The standard time for completing a job on a machine is 10 minutes. Number of machines available is 5, each machine is available for 300 hours/month, and average machine utilization is 80%. The maximum number of jobs that can be produced in a month is ................. (in integer).

A copper rod of 200 mm diameter and 400 mm length is extruded to the final diameter of 100 mm. The extrusion ratio is

Number of minimum control points required to generate a quadratic B-Spline curve is

The Euler’s method is used to solve \[ \frac{dy}{dx} = x^3 y - 4, y(0) = 1 \] The step size is 0.1. The approximate value of \(y(0.1)\) is ................. (round off to 2 decimal places).

Vacuum in the machining zone is an essential requirement for

The qualitative method of forecasting amongst the given options is

As per the ANSI marking system, a grinding wheel with alumina as abrasive is designated as 51 A 36 K 5 V 23. Here, K indicates that

In NC machine, the function of interpolator is to