8 A glass bead of diameter 1.70 mm and density 2.89 g/cm2 spinsuniformly at a rate of 37 rad/s along a vertical nylon thread that cutsthrough an axis running through its center. Assuming the bead to bea regular solid sphere (lcom = (2/5)MR2) and neglecting the hole in themiddle where the thread goes, report the kinetic energy of the beadin joules.9.54 x 1011 J9.54 x 1015 J7.63 x 10 10 J3.05 x 109 J8:05 AM30°C Mostly cloudyO 4 ENG23/09/20

Answered: Image /qna-images/answer/828fb90c-1010-45e0-80d5-936fc0d3ce1e.jpg

Answered: A glass bead of diameter 1.70 mm and…

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter11: Dynamics Of Rigid Bodies

Section: Chapter Questions

Problem 11.30P

See similar textbooks

Similar questions

A hoop of radius RH and mass mH and a solid cylinder of radius Rc and mass mc are released simultaneously at the top of a plane ramp of length L inclined at angle θ above horizontal. Which reaches the bottom first, and what is the speed of each there?
A glass bead of diameter 1.70 mm and density 2.89 g/cm3 spins uniformly at a rate of 3π rad/s along a vertical nylon thread that cuts through an axis running through its center. Assuming the bead to be a regular solid sphere (Icom = (2/5)MR2) and neglecting the hole in the middle where the thread goes, report the kinetic energy of the bead in joules. A. 9.54 × 10-15 J B. 3.05 × 10-9 J C. 9.54 × 10-11 J D. 7.63 × 10-10 J
A solid cylinder has length L = 14 cm and radius R = 2 cm. The center of one face of the cylinder is located at the origin and the cylinder’s axis lies along the positive x-axis. The mass density of the cylinder varies along its length and is given by the function: ρ(x) = Ax2 + Bx + C, where A = 13.5 kg/m5, B = 5.2 kg/m4, and C = 14.2 kg/m3. Consider a thin slice of the cylinder that is a disk located at distance x from the origin and having thickness dx. Enter an expression for the mass of this disk in terms of the defined quantities and dx. Integrate the expression you entered in part (a) and enter an expression for the mass of the whole cylinder in terms of the defined quantities. Calculate the mass of the cylinder, in grams. Enter an expression for the location of the cylinder’s center of mass along the x-axis, in terms of the defined quantities. Calculate the location of the cylinder’s center of mass along the x-axis, in centimeters.
a small 0.171 kg block slides down a frictionless surface through height h = 0.893 m and then sticks to a uniform vertical rod of mass M = 0.342 kg and length d = 2.12 m. The rod pivots about point O through angle θ before momentarily stopping. Find θ.
a rigid assembly of a thin hoop (of mass m = 0.25 kg and radius R = 0.19 m) and a thin radial rod (of length L = 2R and also of mass m = 0.25 kg). The assembly is upright, but we nudge it so that it rotates around a horizontal axis in the plane of the rod and hoop, through the lower end of the rod. Assuming that the energy given to the assembly in the nudge is negligible, what is the assembly's angular speed about the rotation axis when it passes through the upside-down (inverted) orientation?
let's consider the three atoms composing the molecule have different masses and coordinate, while the axis of rotation is still y-axis. The first atom has a mass of 8.61 kg, with x coordinate at 3.063 m and y coordinate at 3.826 m. The second atom has a mass of 63.048 kg, with x coordinate at 87.738 m and y coordinate at 51.326 m. The third atom has a mass of 26.317 kg, with x coordinate at 42.334 m and y coordinate at 23.115 m. What is the moment of inertia in the unit of kg m2 with respect to the y axis?
What is the maximum moment of a 10 m simply supported beam subjected to a concentrated load of 500 KN at the mid-span?
How much torque must be applied to a 6.0 kg flywheel with a diameter of 30 cm, that is in a shape of a solid circular plate, to change its frequency from 1000 min-1 to 2500 min-1?
You are designing a rotating metal flywheel that will be used to store energy. The flywheel is to be a uniform disk with radius 35.0 cm. Starting from rest at t = 0, the filywheel rotates with constant angular acceleration 3.00 rad/s about an axis perpendicular to the flywheel at its center If the flywheel has a density (mass per unit volume) of 8600 kg/m³, what thickness must it have to store 800 J of kometic energy at 8.00 s?
a rigid assembly of a thin hoop (of mass mand radius R = 0.150 m) and a thin radial rod (of mass m and length L = 2.00R). The assembly is upright, but if we give it a slight nudge, it will rotate around a horizontal axis in the plane of the rod and hoop, through the lower end of the rod. Assuming that the energy given to the assembly in such a nudge is negligible, what would be the assembly’s angular speed about the rotation axis when it passes through the upside-down (inverted) orientation?
If the angular acceleration of a rigid body is zero, what is the functional form of the angular velocity?
A certain gyroscope consists of a uniform disk with a 50 cm radius mounted at the center of an axle that is 11 cm long and of negligible mass.The axle is horizontal and supported at one end. If the spin rate is 1000 rev/min, what is the precession rate?

SEE MORE QUESTIONS

Recommended textbooks for you

Classical Dynamics of Particles and Systems

Physics

ISBN:

9780534408961

Author:

Stephen T. Thornton, Jerry B. Marion

Publisher:

Cengage Learning

University Physics Volume 1

Physics

ISBN:

9781938168277

Author:

William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:

OpenStax - Rice University

Classical Dynamics of Particles and Systems

Physics

ISBN:

9780534408961

Author:

Stephen T. Thornton, Jerry B. Marion

Publisher:

Cengage Learning

University Physics Volume 1

Physics

ISBN:

9781938168277

Author:

William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:

OpenStax - Rice University

SEE MORE TEXTBOOKS