Newton's Laws and the Circular Motion
1. A 0.85-kg rock is held by a string and whirled in a vertical circle. The radius of the circle is 1.70 m. The
speed of the rock is 4.99 m/s at the top of the loop and 7.99 m/s at the bottom of the loop.
a. Construct a free-body diagram (label all forces according to type) for the rock at both the top
and the bottom of the loop.
b. Clearly indicate the magnitude of the individual force values on your free-body diagram.
2. Pete enters a cylindrical barrel which makes 24 revolutions every minute. The diameter of the barrel is
6.00 m. Pete's mass is 66.3 kg.
a. Construct a free-body diagram showing the forces acting upon Pete.
b. Calculate the acceleration and net force acting upon Pete.
c. Determine the coefficient of friction between Pete and the walls that would be required to
support Pete's weight.
3.
Determine the minimum coefficient of friction required to keep a 1200.-kg car on a turn with a radius
of 30.0 m. The car is traveling 58 km/h and the roadway is level.
4.
You drive your car across the crest of a hill.
a. Construct a free-body diagram of the problem.
b. With what speed must you drive your car across the crest of a hill of radius 45-m in order to
feel weightless ?
5.
An airplane pilot makes a vertical loop with a 60.0-m radius.=
a. Construct a free-body diagram of the problem.
b. Determine the normal force acting upon the pilot's 66.3-kg body at the top of the loop if his
speed is 68.0 m/s.