Please provide explanations and an answer to this particular questions thanks A)

Question

Please provide explanations and an answer to this particular questions thanks

A) Two equal forces are applied to a door at the doorknob. The first force is applied
perpendicular to the door; the second force is applied at 30e to the plane of the door. Which
force exerts the greater torque?

B)Two uniform solid spheres have the same mass, but one has twice the radius of the other. The
ratio of the larger sphere's moment of inertia to that of the smaller sphere is

C)Consider two uniform solid spheres where one has twice the mass and twice the diameter of
the other. The ratio of the larger moment of inertia to that of the smaller moment of inertia is

D) The moment of inertia of a solid cylinder about its axis is given by 0.5 MR2. If this cylinder
rolls without slipping, the ratio of its rotational kinetic energy to its translational kinetic energy
is

Explanation / Answer

perpendicular force as force which is applied at some angle will have two components and net torque will be applied by only one of them i.e which is perpendicular,

b) I1/I2 = 1/4

c) I1/I2 = 1/8

d) ke/rotational = 1/.5 = 2

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