IMP Numericals 2021 1) A pilot of mass 90 kg in fighter aircraft executes a vertical circle of radius 2.8 km at a constant speed of 300 m/s. Calculate the force exerted by seat on the pilot i) at the bottom of the loop ii) at the top of the loop [ g=10 m/s^2] 2) Calculate the escape speed of a body from the surface of a planet of a radius 3000 km if the acceleration due to gravity at the surface of the planet is 2.5 m/s^2 3) A cylindrical mass of 10 kg rolls without slipping on a horizontal surface. At the instant the centre of a mass has a speed of 5 m/s^2 deter i) the transitional kinetic energy ii) the rotational kinetic energy about the axis through the centre of mass iii) the total kinetic energy of the cylinder. 4) A particle executes SHM with amplitude 6 cm and period 3 s. Find the speed of the particle at a point where its acceleration is half the maximum acceleration. 5) When a tensile load is applied to 1.8 cm diamet...