tarting from rest an object rolls down along an incline that rises by 3 in every 5 along it The object gains a speed of 10 m s as it travels a distance of 5 malong the incline What can be the possible shape s of the object 6 Why is it useful to define radius of gyration Section C Attempt any FOUR Q 7 State and prove parallel axes theorem 8 Obtain an expression relating the torque with angular acceleration for a rigid body Discuss the inter link between translational rotational and total kinetic energies of a rigid object that rolls without slipping 14 x 3 M 12 MJ 1 A motorcyclist as a particle is undergoing vertical circles inside a sphere of death The speed of the motorcycle varies between 5 m s and 10 m s Calculate diameter of the sphere of death How much minimum values are possible for these two speeds Q11 Coefficient of static friction between a coin and a gramphone disc is 0 5 Radius of the disc is 8 cm Initially the centre of the coin is a cm away from the centre of the disc At what minimum frequency will it start slipping from there Section D Attempt any TWO 2 4 M 8M Q12 State and explain the principle of conservation of angular momentum Use a suitable illustration Do we use it in our daily life When Q 1 A rigid body is rolling down an inclined plane Derive expressions for the acceleration along the track and the speed after falling through a certain vertical distance Q 14 A flywheel used to prepare earthenware pots is set into rotation at 100 rpm It is in the form of a disc of mass 10 kg and radius 0 4 m A lump of clay to be taken equivalent to a particle of mass 1 o distance x from the centre Calculate x if the wheel now kg falls on it and adheres to it at a certai rotates at 80 rpm