Moment of inertia

Consider three objects roll down the incline plane without slipping from rest. which will roll first to the bottom of an incline plane : a uniform solid cylinder, sphere or hoop?

Match the following aaccording to their meaning

• Torque

• The rate of change of angular displacement

• Angular velocity

• A measure of how angular velocity change over time

• Center of mass

• The imaginary or actual axis around which an object may rotate

• Angular acceleration

• The point in a rotating body where the mass is evenly distributed

• Axis of rotation

• The force that causes an object to rotate

what is moment of inertia of this system about an axis through the center of the rod.

The figure shows scale drawings of four objects, each of the same mass and uniform thickness, with the mass distributed uniformly. Which one has the greatest moment of inertia when rotated about an axis perpendicular to the plane of the drawing at point P?

• A
• B
• C
• D

Torque is the product of a force exerted on an object times the lever arm.

• True 
• False

Objects A, B, and C all have the same mass, all have the same outer dimension, and are all uniform. Rank these objects in order of their moment of inertia about an axis through its center (shown in blue), from largest to smallest.

• BCA

• ABC

• CAB

• BAC

application of moment of inertia in our dayly life

Groups:

(a) at the school

,

(b) Public transportation

,

(c) sport

• wiper glass

• first step while jump to dive

• rotation of car tires

• subway map

• skater's spin

• fan of AC

• golf's swing

• tennis serve

• projector

• wheel of bicycle

• soccer kick

• basketball dribble

• fan swing