Engineering Mechanics (KOE-041) - AKTU Question Paper 2022-23

State the D’Alembert’s principle and its applicati on

Define moment of inertia

Enlist different types of beams with proper sketch

How will you determine the forces in a member by m ethod of joints?

State perpendicular and parallel axis theorem

Define Normal and Shear stress

Differentiate between collinear and concurrent for ce system

Explain the different types of coplanar forces. (i) State law of conservation of momentum and its appl ication. (j) Differentiate between centroid and center of gravi ty

An axial pull of 35kN is acting on a bar consistin g of three lengths as shown in figure. If the young’s modulus (E) = 2.1 × 10 5 N/mm 2, determine i)Stresses in each section and ii)Total extension of the bar

Determine the forces in all the members of the can tilever truss as shown in figure

Find the moment of inertia of a T-section with fla nge as 150 mm × 50 mm and web as 150 mm × 50 mm about Y-Y axes through the ce ntre of gravity of the section

A motor car takes 10 seconds to cover 30 meters an d12 seconds to cover 42 meters. Find the uniform acceleration of the car an d its velocity at the end of 15seconds

Derive bending equation and write the assumptions involved

A uniform ladder of 7m rests against a vertical wall with which it makes an angle of 45º, the coefficient of friction between t he ladder and the wall is 0.4 and that between ladder and the floor is 0.5. If a man, whose weight is one half of that of the ladder, ascends it, how high will it be when the ladder slips?

A body resting on a rough horizontal plane requ ired a pull of 24N inclined at 30º to the plane just to move it. It was also found that a push of 30N at 30º to the plane was just enough to cause motion to impend. Make calculations for the weight of body and the coefficient of friction

Determine the moment of inertia of the section about horizontal axes passing through the centroid of the section

Find the centroid of the shaded area

Determine the forces in all the memb

Draw Shear force and Bending moment

Two bodies A and B of mass 80 kg and 20 kg are conn ected by a thread and move along a rough horizontal plane under the actio n of a force 400 N applied to the first body of mass 80 kg as shown in FigThe coe fficient of friction between the sliding surfaces of the bodies and the plane is 0.3. Determine the acceleration of the two bodies and the tension in t he thread, using D' Alembert’s principle

A body of mass 10kg moving towards with a velocity of 8m/s strikes with another body of 20 kg mass moving towards left with 25m/s. Determine (i) Final velocity of the two bodies (ii) Loss in kinetic energy due to impact (iii) Impulse acting on either body du Take coefficient of restitution as 0.65

A solid shaft transmits power at the rate of 2000KW at the speed of 60RPM. If the safe allowable stress is 80MN/m

A rectangular beam 60 mm wide and 150 mm deep is si mply supported over a span of 6 m. If the beam is subjected to central po int load of 12 kN, find the maximum bending stress induced in the beam section Determine the forces in all the memb ers of the cantilever truss as shown in figure Draw Shear force and Bending moment diagram of loaded beam as shown in fig. part of the following : Two bodies A and B of mass 80 kg and 20 kg are conn ected by a thread and move along a rough horizontal plane under the actio n of a force 400 N applied the first body of mass 80 kg as shown in FigThe coe fficient of friction between the sliding surfaces of the bodies and the plane is 0.3. Determine the acceleration of the two bodies and the tension in t he thread, using D' Alembert’s principle. body of mass 10kg moving towards with a velocity of 8m/s strikes with another body of 20 kg mass moving towards left with 25m/s. Determine Final velocity of the two bodies Loss in kinetic energy due to impact Impulse acting on either body du ring impact Take coefficient of restitution as 0.65 part of the following : A solid shaft transmits power at the rate of 2000KW at the speed of 60RPM. If the safe allowable stress is 80MN/m 2, find the minimum diameter of the shaft. A rectangular beam 60 mm wide and 150 mm deep is si mply supported over a span of 6 m. If the beam is subjected to central po int load of 12 kN, find the maximum bending stress induced in the beam section . shown in figure . diagram of loaded beam as shown in fig. Two bodies A and B of mass 80 kg and 20 kg are conn ected by a thread and move along a rough horizontal plane under the actio n of a force 400 N applied the first body of mass 80 kg as shown in FigThe coe fficient of friction between the sliding surfaces of the bodies and the plane is 0.3. Determine the acceleration of the two bodies and the tension in t he thread, using D' body of mass 10kg moving towards with a velocity of 8m/s strikes with another body of 20 kg mass moving towards left with 25m/s. Determine A solid shaft transmits power at the rate of 2000KW at the speed of 60RPM. If diameter of the shaft. A rectangular beam 60 mm wide and 150 mm deep is si mply supported over a span of 6 m. If the beam is subjected to central po int load of 12 kN, find the