# Example 1: Disc Rolling Down an Incline

• Find the speed of a disc of radius R which starts at rest and rolls down an incline of height H

# Example 2: Strings with Massive Pulleys

• Two blocks are connected by a light string over a pulley of mass mp</sub and radius R.

• Find the acceleration of mass m2</sub if m1</sub stis on a frictionless surface

# Example 3: Rolling Without Slipping

• A disc of radius R rolls down an incline of angle θ without slipping.

• Find the force of friction on the disc

# Example 4: Rolling with Slipping

• A bowling ball of mass M and radius R skids horizontally down the alley with an initial velocity of v0. Find the distance the ball skids before rilling given a coefficient of kenetic friction μk

# Example 5: Amusement Park Swing

• An amusement park ride of radius x allows children to sit in a spinning swing held by a cable of length L.

• At maximum angular speed, the cable makes an angle of θ with the vertical as shown in the diagram below

• Determine the maximum angular speed of the rider in terms of g, θ, x and L.