For cutting a rectangular blank of 50 mm × 200 mm from a sheet of 1 mm thickness (mild steel, shear strength= 240 N/mm2). The required force for blanking operation is _____ kN.
Question 2
The following system of homogeneous equations 2x + y + 2z = 0 x + y + 3z = 0 4x + 3y + bz = 0 has non-trivial solution, then the value of ‘b’ is __.
Find the value ,where ‘C’ is the circle |z| = 3 is equal to;
Question 5
Given set A = {2, 3, 4, 5} and Set B = {11, 12, 13, 14, 15}, two numbers are randomly selected, one from each set. What is probability that the sum of the two numbers equals 16?
Question 6
A hole and shaft have a basic size of 40 mm and are to have a clearance fit with maximum clearance of 0.05 mm and minimum clearance of 0.03 mm, the hole tolerances is 2 times the shaft tolerance. The maximum limit for hole and minimum limit for hole using hole basic system will be _____.
Question 7
Determine the force in the member DB
Question 8
Fill in the blanks with appropriate prepositions :
Ashoka is worthy ________ remembrance.
Question 9
Calculate the efficiency of the circumferential joint if pitch of rivets is 60 mm and diameter of rivets is 22 mm _________.
Question 10
For a single slider crank mechanism, the velocity and acceleration of the piston at inner dead centre will be _____.( w is angular velocity of the crank and r its radius )
Question 11
The area enclosed between the straight line y = x and the parabola y = x2 in the x – y plane is
Question 12
Fill in the missing number in the series.
2 3 6 15 _____ 157.5 630
Question 13
The voltage length characteristic of a direct current (dc) arc is given by V = (20 + 40 L) Watts Where, L is the length of the arc in cm. The power source characteristic is approximated by a straight line with an open circuit voltage = 80 V and a short circuit current = 1000 amp. The optimum arc length is _________ (in cm).
Question 14
A carbon steel shaft 60 mm diameter is subjected to a fluctuating torque between 1500 Nm to 4000 Nm. Using Soderberg equation, the factor of safety is _________. [Take, = 600 MPa and = 400 MPa] Assume, = 0.6 and = 0.5 .
Question 15
The time (in seconds) taken by the bullet in seconds to reach the ground if is fired upward at an angle of 40o with a velocity of 30 m/s is _______. ( Take sin 40o = 0.642)
Question 16
In the following table, x is a discrete random variable, and P(x) is the probability density. The difference between the variance & the standard deviation is _________. (up to three decimal places)
Question 17
A ball is thrown vertically downward with a velocity of 20 m/s from the top of a tower. It hits the ground after some time with a velocity of 80 m/s. The height of the tower is:
(g = 10 m/s2)
Question 18
A projectile projected at an angle 30° from the horizontal has a range R. If the angle of projection at the same initial velocity be 60°, then the range will be __________.
Question 19
A bullet of mass m moving with velocity v strikes a suspended wooden block of mass M. If the block rises to a height h, the initial velocity of the block will be
Question 20
In a gating system, the ratio 1:2:4 represents
Question 21
What will be the height between the bottom of the sprue and free metal surface of the casting, having a gating ratio of 1 : 1.5 : 2. The height of metal during pouring in the basin is 100mm above the cope, where cope box has a height of 200 mm.
Question 22
A cylindrical work-piece of diameter 10 cm is turned on a lathe in orthogonal cutting condition using a tool of 15o rake angle. A chip of length 20 cm is obtained while cutting with a depth of cut of 0.6 mm. Then the value of shear plane angle and chip thickness are:
Question 23
What would be the difference in the forecasts if the coefficient of smoothing are 0.3 & 0.5? The forecast for month 3 were 179.5 and 188.3 respectively.
Question 24
A jobs shop has received an orderconsisting of 7 jobs
What are the percentage utilization of milling and drilling machines?
Question 25
Choose the most appropriate synonym for the given word.