Problems
Problem 2.1:
A single particle of mass 1 kg, starting from rest, experiences a torque that
causes it to accelerate in a circular path of radius 2 m, completing a full
revolution in 1 second. What is the work done by the torque over this full
revolution?
[Solution]
Problem 2.2:
What is the kinetic energy of a single particle of mass 2 kg rotating around a
circle of radius 4 m with an angular velocity of 3 rad/s?
[Solution]
Problem 2.3:
Often revolving doors have a built in resistance mechanism to keep the door from
rotating dangerously quickly. A man pushing on a door of 100 kg at a distance
of 1 meter from its center counteracts the resistance mechanism, keeping the
door moving at a constant angular velocity if he pushes with a force of 40 N.
If the door moves at a constant angular velocity of 5 rad/s, what is the power
output of the man over this time?
[Solution]
