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The real root of the equation 5x − 2cosx −1 = 0 (up to two decimal accuracy) is ____. (Gate mechanical engineering 2014)1 AnswerA diesel engine has a compression ratio of 17 and cut-off take place at 10% of the stroke. Assuming ratio of specific heats ( γ ) as 1.4, the air-standard efficiency (in percent) is______. (Gate mechanical engineering 2014)1 AnswerWhat is the theoretical requirement of air (in m3 at STP) for the complete combustion of 100 m3 (at STP) of a fuel consisting of pure CH4? Assume that air contains 21 vol.% of oxygen. _____. (-Gate metallurgical engineering 2014)1 AnswerFor an Oldham coupling used between two shafts, which among the following statements are correct? (Gate 2018 Mechanical engineering)0 AnswerA steel rod was subjected to a fluctuating stress cycle that varied between a maximum of 400 MPa in tension to a minimum of 300 MPa in compression. What is the stress amplitude, in MPa?______. (-Gate metallurgical engineering 2014)1 AnswerA body starts yielding when it is subjected to a stress state with principal stresses of 250 MPa, 50 MPa and −50 MPa. What is the yield strength of the material, in MPa, if Tresca yield criterion is obeyed? (-Gate metallurgical engineering 2014)1 AnswerThe damping ratio of a single degree of freedom spring-mass-damper system with mass of 1 kg, stiffness 100 N/m and viscous damping coefficient of 25 N.s/m is _____.1 AnswerIf all the elements of one row of a 3 × 3 matrix are multiplied by 3, the determinant of the matrix changes by a factor of _____. (-Gate metallurgical engineering 2014)1 AnswerFor a gas turbine power plant, identify the correct pair of statements. (Gate mechanical engineering 2014)1 AnswerA force P is applied at a distance x from the end of the beam as shown in the figure. What would be the value of x so that the displacement at ‘A’ is equal to zero? (-Gate mechanical engineering 2014)1 AnswerA solid sphere of radius r1 = 20 mm is placed concentrically inside a hollow sphere of radius r2 = 30 mm as shown in the figure. (Gate mechanical engineering 2014)1 AnswerThe diameter of a recessed ring was measured by using two spherical balls of diameter d2 =60 mm and d1=40 mm as shown in the figure. (-Gate mechanical engineering 2014)1 AnswerA four-wheel vehicle of mass 1000 kg moves uniformly in a straight line with the wheels revolving at 10 rad/s. The wheels are identical, each with a radius of 0.2 m. Then a constant braking torque is applied to all the wheels and the vehicle experien1 AnswerA n engine operates on the reversible cycle as shown in the figure. The work output from the engine (in kJ/cycle) is ______ (correct to two decimal places).4 AnswerA mass m1 of 100 kg travelling with a uniform velocity of 5 m/s along a line collides with a stationary mass m2 of 1000 kg. After the collision, both the masses travel together with the same velocity. The coefficient of restitution is:1 AnswerThe process utilizing mainly thermal energy for removing material is: (Gate mechanical engineering 2014)1 AnswerConsider a single degree-of-freedom system with viscous damping excited by a harmonic force. At resonance, the phase angle (in degree) of the displacement with respect to the exciting force is:1 AnswerA ball is dropped from rest from a height of 1 m in a frictionless tube as shown in the figure. If the tube profile is approximated by two straight lines (ignoring the curved portion), the total distance travelled (in m) by the ball is __________ (correct to two decimal places). 1 AnswerT he arrival of customers over fixed time intervals in a bank follow a Poisson distribution with an average of 30 customers/hour. The probability that the time between successive customer arrival is between 1 and 3 minutes is _______ (correct to two decimal places).1 AnswerA hollow circular shaft of inner radius 10 mm, outer radius 20 mm and length 1 m is to be used as a torsional spring. If the shear modulus of the material of the shaft is 150 GPa, the torsional stiffness of the shaft (in kN-m/rad) is ________ (correct to two decimal places).1 Answer
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