A thin-walled, hollow spherical shell of mass m and radius r starts from rest and rolls without slipping down the track shown in the figure (Figure Points A and B are on a circular part of the track having radius R. The diameter of the shell is very small compared to họ and R, and the work done by the rolling friction is negligible. What is the height ho for which this shell will make a complete loop-the-loop on the circular part of the track, with a velocity át the top that is 3 times the minimum, velocity necessary to complete the loop without loosing contact with the loop. express as a constant multiplied by R. For a thin spherical shell, I-(2/3)Mr2 Sgile Shell ho B

A thin-walled, hollow spherical shell of mass m and radius r starts from rest and rolls without slipping down the track shown in the figure (Figure Points A and B are on a circular part of the track having radius R. The diameter of the shell is very small compared to họ and R, and the work done by the rolling friction is negligible. What is the height ho for which this shell will make a complete loop-the-loop on the circular part of the track, with a velocity át the top that is 3 times the minimum, velocity necessary to complete the loop without loosing contact with the loop. express as a constant multiplied by R. For a thin spherical shell, I-(2/3)Mr2 Sgile Shell ho B

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A disk of radius = 2.02 mm is attached to a high-speed drill at a dentist’s office and is turning at 96,185 rad/sec. Determine the tangential speed of a point on the outer edge of this disk. Use g=9.8
A small solid marble of mass 0.1 kg and radius 0.04 m rolls without slipping along the loop-the-loop track shown in the figure below, having been released from rest somewhere on the straight section of track. From what minimum height above the bottom of the track must the marble be released in order that it just stay on the track at the top of the loop (R = 1.4 m)? |h R O 14.8 m 5.71 m 10.7 m O 8.71 m 3.71 m
A hollow cylinder with mass M = 3 kg and radius R = 0.6 m rolls down a 4 m high hill. What would be the speed ofthe cylinder when it reaches the bottom of the hill?
Suppose you had a machine for 100% efficiently transferring kinetic energy of a rotating bicycle pedal to electrical energy. If the mass of a pedal is 200 g, (a) how fast must the pedal be moving to power a 17.00 W LED light? (b) what is the angular speed, in rpm, if the distance from the centre of the crank to the pedal is 16 cm?
A solid brass ball of mass 22 g and radius 8.51 mm rolls smoothly along a loop-the-loop track when released from rest from a tall ramp leading to the loop-the-loop. The circular loop has a 17 cm radius. (a) What is the minimum height from which you can release the ball so that it will go around the loop-the-loop without falling off? For part (b), assume that the ball is released from rest at a height of 61.83 cm above the bottom of the loop. (b) What is the magnitude of the horizontal force on ball when it is at a height 17 cm going up the hoop? (c)What is the direction of the net force on the ball at the top of the hoop? Î =
If the child applies 21.5 N tangentially to the edge for 25 seconds, what is the angular speed, average work, and power supplied by the child?
A ball that is a uniformly hollow spherical shell with a mass of m and radius r rolls down an inclined plan without slipping. The inclined plane is at an angle theta from horizontal and has a length L. What is the speed at the bottom for the ball?
A frictionless pulley has the shape of a uniform solid disk of mass 2.90 kg and radius 10 cm. A 1.30 kg stone is attached to a very light wire that is wrapped around the rim of the pulley (the figure (Figure 1)), and the system is released from rest. How far must the stone fall so that the pulley has 3.40 J of kinetic energy? What percent of the total kinetic energy does the pulley have?
In the figure here, a solid brass ball of mass 0.248 g will roll smoothly along a loop-the-loop track when released from rest along the straight section. The circular loop has radius R = 0.2 m, and the ball has radius r (> R 12
A hollow cylinder (hoop), a solid cylinder (disk), and a solid sphere, each of mass M and radius R, roll down a hill of height h. Rank the objects based on their total kinetic energy at the bottom of the hill. Rank the one with the most energy 1, etc. If two are equal, give them the same ranking. hoop___________ disk_______________sphere_______________Justify your ranking
A solid sphere weighing 15 kg has a radius of 0.25 m. if the sphere is allowed to roll from rest down a track starting at a height of 5 m, what is the rotational and translational kinetic energy of the moving ball when it reaches the bottom of the track? what is the translational and angular velocity of the ball at this point?
A person spins a large grindstone 0.320-m radius, from rest, by placing his hand on its edge and exerting a force through part of a revolution as shown in the figure. 1. How much work is done if he exerts a force of 200 N through a rotation of 1.0 rad (57.3)? 2. The force is kept perpendicular to the grindstone at the point of application, and the effects of friction are negligible. Calculate the final angular velocity if the grindstone has a mass of 85.0kg. The grindstone is considered as a disk.