Four objects with the same mass and outer radius, start at rest and roll without sliding (a) Rank the objects according to how fast they reach the finish mark, least to greatest. down identical inclines. Spherical Shell Solid Sphere (b) Rank the objects from lowest to highest inertia. Cylindrical Shell Solid Cylinder Frictionless Cube

Four objects with the same mass and outer radius, start at rest and roll without sliding (a) Rank the objects according to how fast they reach the finish mark, least to greatest. down identical inclines. Spherical Shell Solid Sphere (b) Rank the objects from lowest to highest inertia. Cylindrical Shell Solid Cylinder Frictionless Cube

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.5P

See similar textbooks

Similar questions

A light rod of length 2L is free to rotate in a verticalplane about a frictionless pivot through its center. A particleof mass m1 is attached at one end of the rod, and a mass m2is at the opposite end, where m1 >m2. The system is releasedfrom rest in the vertical position shown in Figure P8.84a, andat some later time, the system is rotating in the position shownin Figure P8.84b. Take the reference point of the gravitationalpotential energy to be at the pivot. (a) Find an expression forthe system’s total mechanical energy in the vertical position.(b) Find an expression for the total mechanical energy in therotated position shown in Figure P8.84b. (c) Using the factthat the mechanical energy of the system is conserved, howwould you determine the angular speed v of the system in therotated position? (d) Find the magnitude of the torque onthe system in the vertical position and in the rotated position. Is the torque constant? Explain what these results implyregarding the angular…
Discuss the physics involved in the spin cycle of a washing machine. In particular, how is circular motion related to the removalof water from the clothes?
A beetle sits at the rim of a turntable that is at rest but is freeto rotate about a vertical axis. Suppose the beetle now begins towalk around the perimeter of the turntable. Does the beetle moveforward, backward, or does it remain in the same location relative tothe ground? Answer for two different cases, (a) the turntable is muchmore massive than the beetle and (b) the turntable is massless
A bug flying horizontally at 2 m/s collides and sticks to the end of a uniform stick hangingvertically from its other end. After the impact, the stick swings out to a maximum angleof 10.0° from the vertical before rotating back. If the mass of the stick is 15 times that ofthe bug, calculate the length of the stick (in m).
One way to provide artificial gravity (i.e., a feeling of weight) on long space voyages is to separate a spacecraft into two parts at the ends of a long cable, and set them rotating about their center of mass. A craft has been separated into two parts with a mass of 79500 kg each, at the ends of a cable with their centers of mass 54 m apart, rotating around the center point of the cable with a period of 173.2 seconds. If the cable is reeled in so that the the centers of the two pieces are now only 41.58 m apart, what will be the new period? the answer I have been getting has been because I have been using Tf= (rfTi)/ri which was found by using the conservation of angular momentum(inital angular momentum equals final). What have I been doing wrong?
A model airplane with mass 0.750 kg is tethered by awire so that it flies in a circle 30.0m in radius. The airplaneengine provides a net thrust of 0.800N perpendicular to thetethering wire. (a) Find the torgue the net thrust produces aboutthe centre of the circle. (b) Find the angular acceleration of theairplane when it is in level flight. (c) Find the translationalacceleration of the airplane, and the tangent to its flightpath.
For the three cases of spin the bottle, select ALL cases for which the torque is NEGATIVE.
The farther away the mass is located from the center of rotation, the harder it is to rotate the mass about the given center of rotation. True or false?
A ride at a carnival has four spokes to which pods are attached that can hold two people. The spokes are each 15 m long and are attached to a central axis. Each spoke has mass 200.0 kg, and the pods each have mass 100.0 kg. If the ride spins at 0.2 rev/s with each pod containing two 50.0-kg children, what is the new spin rate if all the children jump off the ride?
A man stands on a merry-go-round that is rotating at 2.5 rad/s. If the coefficient of static friction between the man’s shoes and the merry-go-round is s=0.5 , how far from the axis of rotation can he stand without sliding?
Gyroscopes used in guidance systems to indicate directions in space must have an angular momentum that does not change in direction. When placed in the vehicle, they are put in a compartment that is separated from the main fuselage, such that changes in the orientation of the fuselage does not affect the orientation of the gyroscope. If the space vehicle Is subjected to large forces and accelerations how can the direction of the gyroscopes angular momentum be constant at all times?
Explain in your own words what is Centrifugal force