Exercise \(\PageIndex{1}\): Velocity of a rolling wheel
A wheel rolls as shown in the animation (position is given in meters and time is given in seconds). What is the velocity (with respect to the floor) of a point on the edge of the wheel when it is at the highest point? Restart.
Exercise \(\PageIndex{2}\): A wheel pulled by a string rolls without slipping
A wheel rolls without slipping while being pulled by a string wrapped around its circumference, as shown in the animation (position is given in meters and time is given in seconds). Which animation properly depicts the physical situation? Restart.
Exercise \(\PageIndex{3}\): Determine whether an object rolls without slipping or slides down an incline
A \(1\text{-kg}\) object moves down the blue incline and onto the black table as shown in the animation (position is given in meters and time is given in seconds). Restart.
- Determine from the motion of the object whether it rolls without slipping or slides without rolling down the blue incline.
- If the object rolls without slipping, determine if it is a disk, a hoop, or a sphere.
Exercise \(\PageIndex{4}\): Determine whether an object rolls without slipping or slides down an incline
A \(1\text{-kg}\) object moves down the blue incline and onto the black table as shown in the animation (position is given in meters and time is given in seconds). Restart.
- Determine from the motion of the object whether it rolls without slipping or slides without rolling down the blue incline.
- If the object rolls without slipping, determine if it is a disk, a hoop, or a sphere.
Exercise \(\PageIndex{5}\): Determine the torque on a yo-yo
A giant \(2.5\text{-kg}\) green yo-yo, made of two solid green disks and a massless red hub, is shown (position is given in meters and time is given in seconds). Determine the torque that the string exerts on the yo-yo. Restart.
Problem authored by William Junkin and modified by Mario Belloni.
Exercise \(\PageIndex{6}\): A rolling wheel is attached via a string to a hanging mass
A wheel rolls without slipping while being pulled by a massless string wrapped around its circumference. The string is also attached to a \(0.11\text{-kg}\) hanging mass via a massless pulley as shown (position is given in meters and time is given in seconds). If the wheel closely resembles a uniform disk, what is the mass of the wheel? Hint: use energy. Restart.
Exercise \(\PageIndex{7}\): Calculate the angular momentum of several systems
Several objects are rotating as shown (position is given in meters and time is given in seconds). Every object, or collection of objects, has the same mass, \(m = 2\text{ kg}\). All mass distributions are uniform and all strings are massless. Every animation has a black dot representing the origin of the coordinate system. You are to calculate the angular momentum about this point for each animation. Calculate the angular momentum (about the origin) of the systems shown. Restart.
Exercise \(\PageIndex{8}\): A red disk is dropped onto a rotating yellow disk
A red disk is dropped onto a rotating yellow disk that has a mass of \(20\text{ kg}\) as shown in the animation (position is given in meters and time is given in seconds). What is the mass of the red disk? Restart.
Exercise \(\PageIndex{9}\): A puck sliding on an air table collides with another puck
A puck sliding on an air table collides with another puck of equal mass that is attached to a string as shown in the animation (position is given in meters and time is given in seconds). What quantities are conserved? Restart.
Exercise \(\PageIndex{10}\): A puck sliding on an air table collides with another puck
A \(100\)-gram projectile is incident on a tethered mass on a tabletop (position is given in meters and time is given in seconds). You are viewing the tabletop from above. Assume only conservative forces are acting. Determine the total angular momentum before and after each collision as measured from the pivot point of the pendulum (which is also the origin of coordinates). Restart.
Physlets were developed at Davidson College and converted from Java to JavaScript using the SwingJS system developed at St. Olaf College.
