Physics Rotational Mechanics Level: Misc Level
A 4 kg mass is hung from a string which is wrapped around a cylindrical pulley. If the mass accelerates downward at 4. 90 m/s2, what is the mass of the pully?
Physics Rotational Mechanics Level: Misc Level
A 1. 8 kg solid disk pulley of radius 0. 11 m rotates about an axis through its center.
(a) What is its moment or inertia?
(b) Staring from rest, a torque of 0. 22 N. m will produce what angular acceleration?
Physics Rotational Mechanics Level: Misc Level
A uniform solid cylinder of mass 100. kg and radius 50.0 cm is mounted so it is free to rotate about an axis that passes through the centers of its circular ends. (Like a toilet paper roll core, only solid) A 10.0 kg block is hung from a mass less cord wrapped around the cylinders circumference. when the block is released, the cord unwinds and the block accelerates downward. what is the blocks acceleration?
Physics Rotational Mechanics Level: Misc Level
Two astronauts each having a mass of 75 kg are connected by a 10 m rope of negligible mass. They are isolated in space, moving in circles around the point halfway between them at a speed of 5 m/s. Treating the astronauts as particles. Calculate the magnitude of angular momentum, the rotational energy of the system.(By pulling on the rope the astronauts shorten the distance between them to 5 m) what is the new angular momentum of the system. what are their new speeds, what is the new rotational energy of the system,how much work is done by the astronauts in shorting the rope?
Physics Rotational Mechanics Level: Misc Level
A 60 kg woman stands at the rim of a horozontal turntable having a moment of inertia of 500 kg* m^2 and a radius of 2 m. The turntable is initially at rest and is free to rotate about a frictionless, vertical axle through its center.The woman then starts walking around the rim clockwise (as viewed from above the system) at a constans speed of 1.5 m/s relative to the earth. In what direction and with what angular speed does the turntable rotate? and How much work does the woman do to set herself and the turntable in motion?
Physics Rotational Mechanics Level: Misc Level
A solid horozontal cylinder of mass 10 kg and radius 1 m rotates with an angular speed of 7 rad/s about a fixed vertical axis through its center. A . 25 kg piece of putty is dropped vertically on the cylinder at a point. 9 m from the center of rotation and sticks to the cylinder. the Determine the final angular speed of the system.
Physics Rotational Mechanics Level: Misc Level
A 15 kg merry go round in the shape of a uniform solid horozontal disk of radius 1.5 m is set in motion by wrapping a rope about the rim of the disk and pulling on the rope. what constant force must be exerted on the rope to bring the merry go round from rest to an angular speed of . 5 rev/s in 2 sec.
Physics Rotational Mechanics Level: Misc Level
A model airplane with mass. 75 kg is tethered to a wire so that it flies in a circle 30 m in radius. The airplane engine provides a thrust of . 8 N perpendicular to the tethering wire. Find the torque the net thrust produces about the center of the circle. Find the angular acceleration of the airplane when it is in level flight. Find the linear acceleration of the airplane tangent to its flight path.
Physics Rotational Mechanics Level: University
Relation of Project MotionThe tires of a car on a muddy road are 35 cm in radius and are rotating at 40 rad/s. What is the maximum distance a lump of mud can be thrown behind the tire?
Physics Rotational Mechanics Level: University
PowerA diesel engine can exert 140 N m of torque when it is turning at 250 rad/s. Find the corresponding power output.
Physics Rotational Mechanics Level: University
TorqueA cylinder whose axis is fixed has a string wrapped around it that is pulled with a force equal to the cylinders weight. Show that the acceleration of the string is equal to 2g.
Physics Rotational Mechanics Level: University
EquationA circular saw rotating at 15 rev/s is brought to a stop in 125 revolutions. How much time did it take?
Physics Rotational Mechanics Level: University
Rotational MotionThe propeller of a boat rotates at 100rad/s when the speed of the of the boat is 6m/s. The diameter of the propeller is 40 cm. What is the speed of the tip of the propeller?
Physics Rotational Mechanics Level: University
TorqueA string is wrapped around a thin cylinder of radius R and mass M.A force F is applied to the end of the string and it unwinds.
(a) What is the angular acceleration of the cylinder?
(b) How many revolutions are mode by the cylinder in a time T?
Question Diagram
Physics Rotational Mechanics Level: University
TorqueFind the speed of a 20.0 kg mass hanging from a light rope from a massive wheel tha moment of inertia of 100.0 kg m^2 after it has fallen 5.0 m from the orginal level under the wheel. If R=0.20 m what is the mass of the pulley assuming it is a cylinder? How would your answer change if the central axle (of radius 0.05 m ) were essentially massless? Explain clearly what you are doing.
