Q. A force of 100 N is applied to the centre of a circular disc, of mass 10 kg and radius 1 m, resting on a floor as shown in the figure. If the disc rolls without slipping on the floor, the linear acceleration (in m/s2) of the centre of the disc is _________(correct to two […]

Q. A bar is subjected to a combination of a steady load of 60 kN and a load fluctuating between -10 kN and 90 kN.   The   corrected   endurance   limit   of   the   bar   is 150 MPa, the yield strength of the material is 480 MPa and the ultimate strength of the material is 600 MPa. The

Q. A thin-walled cylindrical can with rigid end caps has a mean radius R = 100 mm and a wall thickness of t = 5 mm. The can is pressurized and an additional tensile stress of 50 MPa is imposed along the axial direction as shown in the figure. Assume that the state of stress in

Q. Air flows at the rate of 1.5 m3/s through a horizontal pipe with a gradually reducing cross- section as shown in the figure. The two cross-sections of the pipe have diameters of 400 mm and 200 mm. Take the air density as 1.2 kg/m3 and assume inviscid incompressible flow. The change in pressure (

Q. A bimetallic cylindrical bar of cross sectional area 1 m2 is made by bonding Steel (Young’s modulus = 210 GPa) and Aluminium (Young’s modulus = 70 GPa) as shown in the figure. To maintain tensile axial strain of magnitude 10-6 in Steel bar and compressive axial strain of magnitude 10-6 in Aluminum bar, the

Q. In a cam-follower, the follower rises by h as the cam rotates by δ (radians) at constant angular velocity ω (radians/s). The follower is uniformly accelerating during the first half of the rise period and it is uniformly decelerating in the latter half of the rise period. Assuming that the magnitudes of the acceleration

Q. A bar of circular cross section is clamped at ends P and Q as shown in the figure. A torsional moment 𝑇 = 150 Nm is applied at a distance of 100 mm from end P. The torsional reactions (𝑇𝑃, 𝑇𝑄) in Nm at the ends P and Q respectively are (A) (50, 100)            

Q. A rigid rod of length 1 m is resting at an angle q = 45o as shown in the figure. The end P is dragged with a velocity of U = 5 m/s to the right. At the instant shown, the magnitude of the velocity V (in m/s) of point Q as it moves

Q. Let X1 and X2 be two independent exponentially distributed random variables with means 0.5 and 0.25, respectively. Then Y = min (X1, X2) is A. exponentially distributed with mean 1⁄6 B. exponentially distributed with mean 2 C. normally distributed with mean 3⁄4 D. normally distributed with mean 1⁄6 Ans: exponentially distributed with mean 1⁄6

Q. A 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). Ans: 2.40-2.42