1) A wheel starts from rest and speeds up uniformly to an angular speed of 12
rad/s in 3 s. Find (a) the angular acceleration and (b) the number of revolutions
made during this 3 seconds.
2) A wheel 2 meters in diameter lies in a vertical plane and is at
(2-D projectile motion)
You are on the roof of a building that is 150 m tall armed with a tennis ball
launcher that fires tennis balls with a speed of 35 m/s. Another building is 100 m
away from your building. You are trying to fire a tennis ball into a w
(Uniform Circular Motion)
An old "45" record has a radius of approximately 8 cm and rotates on a turntable at
45 rpm (revolutions per minute).
(a) If a penny is placed on the outer edge of the record, find the following
quantities for the penny: angular s
1) A model airplane with a mass of 750 grams is tethered by a wire so that it flies
in a circle with a diameter of 60 m. Its engine provides a force of 0.8 N
directed perpendicular to the wire. Estimate the torque provided to the plane
about the center of
(a) You are at position A. Position B is 50 m from A along the positive x-axis. You
walk 30 m at 30. Find the displacement vector that will put you at position B.
Express the vector in polar form.
(b) Now suppose that there is a wall between
1) A cylinder of mass 19 kg is rolling along at 10 m/s. Find (a) its translational
kinetic energy, (b) its rotational kinetic energy about its center of mass, and (c)
its total kinetic energy.
2) (a) Consider a uniform solid disk rolling down an incline w
.(Nonconstant Forces - Iteration of Newton's 2nd Law for Mass on Spring)
A 380 gram ball hangs from a spring with a spring constant of 15 N/m. The ball is
pulled down 10 cm from its equilibrium position and released. You are to find the
position of the ba
(Work-Energy Theorem vs. Equations of Motion)
A 50 kg bobsled, initially moving forward at 0.4 m/s, is pushed over a distance of
10 m with a constant force of 100 N. The coefficient of kinetic friction between
the sled runners and the ice is 0.08.
(Frictional Force at the Drag Races)
A top fuel dragster can reach a speed of over 310 mph at the end of a quarter mile
track in a little under 5 seconds. However, the acceleration is not constant over the
entire race. The acceleration starts out very lar
(a) The latitude of Memphis is approximately 35. Find the tangential speed of our
classroom due to the spinning of the Earth. The Earth's radius is 6380 km.
(b) Find the tangential speed in m/s that we would be traveling if our c