Assam University BSc Mathematics Syllabus for 5th Sem (pass)

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FIFTH SEMESTER 

MTMP-501 

DYNAMICS & STATICS 

Full Marks: 50 

Pass Marks: 17 

(To answer one question from each unit. Each unit will have provision for internal choice.)

GROUP-A 

DYNAMICS 

(Marks —30)

Unit—I 

Marks-10

Motion in a line with variable acceleration (under some law of velocity, inverse square law), Simple harmonic motion, Tangential and Normal components of velocity and acceleration in a plane.

Unit—II 

Marks-10 

Motion in a plane- Projectile (excluding range on an inclined plane), motion inside and outside a smooth vertical circle.

Unit—III

Marks-10

Impulse, Work, Energy- Impulse of a force, work, power, energy, principle of energy.
conservation of linear momentum and energy. Impact- Direct impact of two elastic bodies, Direct impact of an elastic body on a smooth fixed plane.

GROUP-B 

STATICS 

(Marks-20)

Unit -IV 

Marks-10

Coplanar forces-Condition of equilibrium on smooth planes, Frictions-Laws of friction, equilibrium on rough planes.

Unit-V 

Marks-10 

Centre of gravity- C.G. of a triangle formed by three rods, C.G. of an arc and a sector of a Circle, quadrant of an ellipse, of a cardioide, of an astroid, and of a lamina bounded by a parabola and a line.