## Applied Mechanics(Dynamics)
**Curvilinear Motion of Particles (4 hours)**- Position vector, velocity and acceleration
- Derivatives of vector functions
- Rectangular component of velocity and acceleration
- Motion relative to frame in translation
- Tangential and normal components
- Radial and transverse components
**Kinetics of particles: Energy and Momentum Methods (5 hours)**- Work done b a force
- Potential and kinetic energy of particles
- Principles of work and energy: applications
- Power and efficiency
- Conservation of energy
- Principle of impulse and momentum
- Impulsive motion and impact
- Direct central and oblique impact
**System of particles (5 hours)**- Newton’s laws and a system of particles
- Linear and angular moment for a system of particles
- Motion of the mass centre
- Conservation of momentum
- Kinetic energy of system of particles
- Work energy principles; Conservation of energy for a system of particles
- Principles of impulse and momentum for a system of particles
- Steady stream of particles
- System with variable mass
**Kinematics of Rigid Bodies (6 hours)**- Introduction
- Translation and rotation
- General plane motion
- Absolute and relative velocity in plane motion
- Instantaneous centre of rotation
- Absolute and relative frame; Coriolis acceleration in plane motion
- Rate of change of a general vector with respect to a rotating frame; Coriolis acceleration
- Motion about a fixed point
- General motion
- Three-dimensional motion of a particle relative to a rotating frame; coriolis acceleration
**Plane Motion of Rigid Bodies: Forces, Moments, and Accelerations****(4 hours)**- Definitions: rigid bodies
- Equation of motion for a rigid Body in plane motion
- Angular momentum of a rigid body in plane motion
- Plane motion of rigid body: D’Alembert’s principle
- Application of rigid body motion in the plane
- Constrained motion in the plane
**Plane motion of rigid bodies: energy and****momentum methods (6 hours)**- Principle of work and energy for a rigid body
- Work done by external forces
- Kinetic energy for a system
- Conservative and non-conservative systems
- Work – energy applications
- Impulse and momentum for systems for rigid bodies
- Conservation of angular and linear momentum
- Impulsive motion and eccentric impact
- Hibbler, R.C. “Engineering Mechanics” (Statics and Dynamics)”,
- Beer F.P. and E.R. Johnson “Vector Mechanics for Engineers”, , 2nd Edition, Tata McGraw Hill Publishing Co. Ltd., 1998
- Shames, I.H “Engineering Mechanics – Statics and Dynamics”., 3rd Edition, New Delhi, Prentice Hall of India, 1990
- Egor .P. Popov “Engineering Mechanics of Solids”, , 2nd Edition, New Delhi, Prentice Hall of India, 1996
*Note: There may be minor deviation in marks distribution. |

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