Engineering Mechanics

Two blocks A and B are connected by a horizontal rod and are supported on two rough planes as shown in Figure 2. If weight of block B is 1500N and coefficient of friction of block A and B are 0.25 and 0.35 respectively, find the smallest weight of block A for which the equilibrium exist. 

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Explain the meaning of MA, VR and Efficiency of a screw jack.

A reciprocating Engine mechanism is shown in Figure 8. The crank OA is of length 20 cm and rotating at 500 rpm. The connecting rod AB is 100 cm long. Find the angular velocity of the connecting rod and velocity of piston B. 

Draw the shear force and bending moment diagram for the cantilever beam loaded as shown in Figure 7. 

Two smooth spheres A and B having a mass of 2kg and 4kg respectively collide with initial velocities as shown in Figure 6. If the coefficient of restitution for the spheres is e=0.8, determine the velocities of each sphere after the impact.

In a system of connected bodies (Figure 5) the pulleys are frictionless and of negligible weight. Determine the value of weight A required to give 0.6g acceleration to weight B (i) in downward direction (ii) in upward direction. 

Determine the moment of inertia of a cast iron section shown in Figure 4 about both X and Y axis. 

Determine the forces in the members BC, CE and DE of a truss loaded and supported as shown in Figure 3. 

Three identical spheres P, Q, R of weight W are arranged on smooth inclined surface as shown in the figure 1. Determine the angle which will prevent the arrangement from collapsing. 

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Discuss the significance and applications of moment of inertia of a body.

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Derive the expression for the moment of inertia of a semi circle about its base.

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What is self locking in case of a machine and how you will verify whether a machine is self locking or not?

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Define the coefficient of restitution and instantaneous centre of rotation.

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What are the advantages of method of section over the method of joints in case of a truss? 

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Discuss various type of supports used in engineering structures.

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What is a point of contraflexture in case of a beam?

Short question on Classify the force systems.

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Explain cone of friction and angle of friction.

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State the various assumptions for the analysis of a perfect truss.

A stone falls freely from rest and total distance covered by it in last second of its motion equals the distance covered by it in first three seconds of its motion. Determine the time in which the stone remains in air.

A straight rod AB, 50 cm long has one end B moving with a velocity of4 m/s, and the other end A moving along a vertical line YO as shown in figure. Find the velocity of the end A and of the midpoint of the rod when it is inclined at 60° with horizontal.

Draw the shear force and bending moment diagram for the beam shown in figure.

Derive the expression for the coefficient of restitution

State and prove parallel axis theorem.

Three identical tubes of weights 8 kN each are placed as shown in figure. Determine the forces exerted by the tubes on the smooth walls and floor.

Describe the method of finding centre of gravity of composite bent wires.

Find the forces in all the members of the truss shown in figure.

Derive the expression of the ratio of tensions for the belt pulley system,

What are the assumptions involved in analysis of a perfect truss?

State and explain D'Alemberts principle

Explain cone of fricton.

Short question on State and proof varignon's theorem with example.