83. A solid sphere of mass mand radius rrolls without slip- ping along the track shown in Figure P10.83. It starts from rest with the lowest point of the sphere at height h above the bottom of the loop of radius R, much larger than r. (a) What is the minimum value of h (in terms of R) such that the sphere completes the loop? (b) What are the force components on the sphere at the point P if h = 3R? Solid sphere of mass m and radius r<< R. R

83. A solid sphere of mass mand radius rrolls without slip- ping along the track shown in Figure P10.83. It starts from rest with the lowest point of the sphere at height h above the bottom of the loop of radius R, much larger than r. (a) What is the minimum value of h (in terms of R) such that the sphere completes the loop? (b) What are the force components on the sphere at the point P if h = 3R? Solid sphere of mass m and radius r<< R. R

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 33P: A hollow cylinder that is rolling without slipping is given a velocity of 5.0 m/s and rolls up an...

See similar textbooks

Similar questions

The precession angular velocity of a gyroscope is 1.0 rad/s. If the mass of the rotating disk is 0.4 kg and its radius is 30 cm, as well as the distance from the center of mass to the pivot, what is the rotation rate in rev/s of the disk?
A bowling ball of radius 8.5 cm is tossed onto a bowling lane with speed 9.0 m/s. The direction of the toss is to the left, as viewed by the observer, so the bowing ball starts to rotate counterclockwise when in contact with the floor. The coefficient of kinetic friction on the lane is 0.3. (a) What is the time required for the ball to come to the point where It is no slipping? What is the distance d to the point where the ball is rolling without slipping?
A massless tether with a masses tied to both ends rotates about a fixed axis through the center. Can the total acceleration of the tether mass combination be zero If the angular velocity Is constant?
A top has moment of inertia 3.2104kgm2 and radius 4.0 cm from the center of mass to the pivot point. If it spins at 20.0 rev/s and is precessing, how many revolutions does it precess in 10.0 s?
A 40.0-kg solid cylinder is rolling across a horizontal surface at a speed of 6.0 m/s. How much work is required to stop it?
A gyroscope slows from an initial rate of 32.0 rad/s at a rate of 0.700rad/s2 . How long does it take to come to rest?
A 2.5-kg solid sphere 1radius = 0.10 m2 is released from rest atthe top of a ramp and allowed to roll without slipping. The ramp is0.75 m high and 5.6 m long. When the sphere reaches the bottomof the ramp, what are (a) its total kinetic energy, (b) its rotationalkinetic energy, and (c) its translational kinetic energy?
A string is wrapped around a uniformcylinder of mass M and radius R. Thecylinder is released from rest with thestring vertical and its top end tied toa fixed bar (Fig. P8.90). Show that(a) the tension in the string is one-thirdthe weight of the cylinder, (b) the magnitudeof the acceleration of the centerof gravity is 2g/3, and (c) the speedof the center of gravity is (4gh/3)1/2after the cylinder has descended through distance h. Verifyyour answer to part (c) with the energy approach.
A sphere of radius 3.34 cm and a spherical shell of radius 8.72 cm are rolling without slipping along the same floor. The two objects have the same mass. If they are to have the same total kinetic energy, what should the ratio of the sphere's angular speed ?sph to the spherical shell's angular speed ?shl be?
PLS HELP ME ANSWER A merry-go-round has a mass of 1550 kg and a radius of 7.40 m . How much net work is required to accelerate it from rest to a rotation rate of 1.00 revolution per 9.20 s ? Assume it is a solid cylinder.
A cord is wrapped around the rim of a solidcylinder of radius 0.25 m, and a constantforce of 40 N is exerted on the cord shown,as shown in the following figure. Thecylinder is mounted on frictionlessbearings, and its moment of inertia is6.0 kg ⋅ m2. (a) Use the work energytheorem to calculate the angular velocity ofthe cylinder after 5.0 m of cord have beenremoved. (b) If the 40-N force is replacedby a 40-N weight, what is the angularvelocity of the cylinder after 5.0 m of cordhave unwound?
In a popular amusement parkride, a rotating cylinder ofradius 3.00 m is set in rotationat an angular speed of5.00 rad/s, as in Figure P7.73.The floor then drops away,leaving the riders suspendedagainst the wall in a verticalposition. What minimum coefficientof friction between arider’s clothing and the wall isneeded to keep the rider fromslipping? Hint: Recall that themagnitude of the maximum force of static friction is equal tomsn, where n is the normal force—in this case, the force causingthe centripetal acceleration.