Questions asked
Find the interval in which conditions of Rolle’s theorem are satisfied for the function f(x) = x 2 ? 6x + 8 and check the validity of Rolle’s theorem for the given function.
A stepped steel shaft with diameters ????1 = 56 mm and ????2 = 52 mm is twisted by torques ????1 = 3.5 kNm and ????2 = 1.5 kNm acting in opposite directions as shown in Fig. 6. Determine the maximum shear stress in the shaft.
A simply supported rectangular beam carries two concentrated forces as shown in Fig. 2, where R is your Roll Number. The permissible stress for beam material in tension as well as compression is 180 MPa. Determine the minimum dimensions of the beam cross section required if depth of beam needs to be 1.75 times the width of beam.
A cylinder, 50 mm base diameter and 70 mm axis is standing on its base on HP. It penetrated by a pentagonal prism of side 35 mm at 90O such that the base edge is parallel to picture plane. Draw its projection and show the curve of intersection.
Let D be the surface generated by revolving the curve: x = ? cos3 ?, y = ? sin3 ?, ? ? [0, ? 2 ] about the x-axis, where ? is a positive number. If the surface area of D is 6? 5 , then determine the value of ?
Q.1. A cylinder, 50 mm base diameter and 70 mm axis is standing on its base on HP. It penetrated by a pentagonal prism of side 35 mm at 90? such that the base edge is parallel to picture plane. Draw its projection and show the curve of intersection.