Equation of motion for rotation; Molecular rotations (as rigid bodies); Di and tri-atomic molecules; Precessional motion; top, gyroscope. Questions: Q 1. A sphere of mass 0.5kg rolls on a smooth surface without slipping with a constant velocity of 3.0 m/s. Calculate its kinetic energy (2021) Q 2. Where do you find the applications of gyroscope? […]
DAY 6 – DAW January Read More »
Rigid body; Degrees of freedom, Euler’s theorem, angular velocity, angular momentum, moments of inertia, theorems of parallel and perpendicular axes, Questions: Q 1. A homogeneous right triangular pyramid wih the base side aaa and height 32a\frac32a23​a is shown below. Obtain the moment of inertia tensor of the pyramid. [15 marks] Q 2. The angular momentum
DAY 5 – DAW January Read More »
Gravitational field and potential due to spherical bodies, Gauss and Poisson equations, gravitational self-energy; Two-body problem; Reduced mass; Questions: Q 1. Two bodies of masses and are placed at a distance d apart. Show that at this position where the gravitational field due to them is zero, the potential is given by V=−Gd(M1+M2+M1M2)V= – \frac
DAY 4 – DAW January Read More »
centripetal and Coriolis accelerations; Motion under a central force; Conservation of angular momentum, Questions: Q 1. For a freely falling body from the height ‘h’ on the surface of the earth in the northern hemisphere with a latitude ‘θ’, show that the deviation of the body towards the east at the final stage is given
DAY 3 – DAW January Read More »
System of particles; Centre of mass, Elastic and inelastic collisions; Rutherford scattering; Centre of mass and laboratory reference frames. Questions: Q 1. Find the laboratory differential cross-section area for the scattering of identical particle of charge e and mass m, if the incident velocity is v. (15 marks) Q 2. Determine the location of the
DAY 2 – DAW January Read More »
Laws of motion; conservation of energy and momentum, Conservation theorems for energy, momentum and angular momentum; Questions: Q 1. A body of mass m splits into two masses m1m_1m1​ and m2m_2m2​ by an explosion. After the split, the bodies move with a total kinetic energy of TTT in opposite direction. Show that their relative speed
DAY 1 – DAW January Read More »
