A child sits on a merry-go-round at the position marked by the red circle (position is in meters and time is in seconds). What is her angular displacement after 0.44 seconds given in radians? Start

A child sits on a merry-go-round at the position marked by the red circle (position is in meters and time is in seconds). What is her angular speed? Start

A quarter and a penny rest on a turntable as shown in the animation. Which coin has the greater angular speed? Start

Interactive Hint

A child sits on a merry-go-round at the position marked by the red circle (position is in meters and time is in seconds). What is her angular acceleration? Start

A boy sits on a merry-go-round at the position marked by the red circle. A girl gives the merry-go-round a constant tangential push for 0.2 seconds as shown in the animation (position is in meters and time is in seconds). What is the magnitude of the tangential acceleration of the boy while the girl is pushing the merry-go-round? Start

A wheel rolls as shown in the animation (position of the center of mass and position of a a point on the edge of the wheel are shown in meters and time is shown in seconds). What is the velocity of a point on the edge of the wheel when it is at the highest point (with respect to the floor)? Start

A wheel rolls without slipping while pulled by a string wrapped around its circumference as shown in the animation (position is given in meters and time is in seconds). Which animation properly depicts the physical situation?

Start Animation 1                      Start Animation 3
Start Animation 2                      Start Animation 4

A turntable (a flat disk) of mass 5 kg rotates at constant speed when your finger makes contact with the outer edge as shown in the animation (position of a point on the outer edge of the turntable is shown in meters and time is shown in seconds). Friction between your finger and the turntable causes the turntable to stop. What is the average torque on the turntable by the frictional force? Start

A giant 2.5 kg yellow yo-yo, made of two solid yellow disks and a massless red hub, is shown in the animation (position in meters and time is in seconds). Determine the magnitude of the torque that the string exerts if it does not slip on the hub. Start

A red disk is dropped onto a rotating yellow disk with a mass of 20 kg as shown in the animation (position  is measured in meters and time is in seconds). What is the mass of the red disk? Start

The animation depicts an idealized drivetrain for a bicycle. A large green disk (i.e. a flat cylinder) is used to rotate a small green disk of the same density and thickness via a massless chain that does not slip (position of a point on the edge of each disk is shown in meters and time is shown in seconds). What is the ratio of the kinetic energy of the green disk to the kinetic energy of the red disk (K_green/ K_red)? Start

A 1 kg object moves down the blue incline and onto the black table---which is frictionless---as shown in the animation  (position is in meters and time is in seconds). Determine from the motion of the object whether or not it rolls or slides down the blue incline and whether the object could be a disk, a hoop, or a sphere. Start

A 1 kg object moves down the blue incline and onto the black table---which is frictionless---as shown in the animation  (position is in meters and time is in seconds). Determine from the motion of the object whether or not it rolls or slides down the blue incline and whether the object could be a disk, a hoop, or a sphere. Start