Problem 28P

Calculate the force of Earth’s gravity on a spacecraft 12,800 km (2 Earth radii) above the Earth’s surface if its mass is 1350 kg.

Solution 28P 2 The moment of inertia of solid cylinder about its center iscylinder MR 2 The moment of inertia of solid sphere about its center is sphere MR Here M is mass of the both cylinder and sphere Radius of cylinder R=4 cm Radius of sphere is R cm Then IcylinderI sphere ½ MR = MR 2 R2 =5/4 R 2 sphere cylinder 2 R sphere= 5/2 (4.0 cm) cylinder R sphere= 4.47 cm~4.5 cm From above given data knowing the masses are equal and that coefficient function of cylinder is 0.50 and sphere 0.40.we can know radius of sphere greater than radius of cylinder.