**Text Transcription & Description for Educational Website****Text:**In the figure, two particles, each with mass \( m = 0.84 \, \text{kg} \), are fastened to each other, and to a rotation axis at \( O \), by two thin rods, each with length \( d = 5.6 \, \text{cm} \) and mass \( M = 1.0 \, \text{kg} \). The combination rotates around the rotation axis with angular speed \( \omega = 0.28 \, \text{rad/s} \). Measured about \( O \), what is the combination’s (a) rotational inertia and (b) kinetic energy?**Diagram Explanation:**- The diagram shows a rotational system with a central axis labeled as \( O \).- Two particles, each marked with mass \( m \), are placed at both ends of two rods.- Each rod has a mass labeled \( M \) and length \( d \).- The rotation axis is marked as a point labeled \( O \) at one end of the assembly.- There is an angular arrow indicating the direction of rotation with an angular speed \( \omega \).- The whole assembly (rods and particles) rotates about the point \( O \).**Questions:**- (a) Determine the rotational inertia of the system (Enter the value in the provided box with appropriate units).- (b) Calculate the kinetic energy of the system (Enter the value in the provided box with appropriate units).

Answered: Image /qna-images/answer/bb282b24-d9b1-452e-9cc9-368820154d22.jpg

In the figure, two particles, each with mass m = 0.84 kg, are fastened to each other, and to a rotation axis at O, by two thin rods, each with length d = 5.6 cm and mass M = 1.0 kg. The combination rotates around the rotation axis with angular speed w = 0.28 rad/s. Measured about O, what is the combination's (a) rotational inertia and (b) kinetic energy? (a) Number 8 M Rotation axis (b) Number i M m Units Units

In the figure, two particles, each with mass m = 0.84 kg, are fastened to each other, and to a rotation axis at O, by two thin rods, each with length d = 5.6 cm and mass M = 1.0 kg. The combination rotates around the rotation axis with angular speed w = 0.28 rad/s. Measured about O, what is the combination's (a) rotational inertia and (b) kinetic energy? (a) Number 8 M Rotation axis (b) Number i M m Units Units

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

An entertainer has perched a 281 g spinning plate on top of a pole. The plate has a radius of 12 cm and is spinning at 68 rpm. A 277 g cup with a moment of inertia of 0.005 kg•m2 is then placed in the center of the plate. The cup beings to spin with the plate. Once the two objects are spinning together, what rate of spin, in revolutions per minute do they have? Answer to one decimal place
Subject: physics
A thin stick of mass 0.2 kg and length L = 0.5 m is attached to the rim of a metal disk of mass M = 2.0 kg and radius R = 0.3 m . The stick is free to rotate around a horizontal axis through its other end (see the following figure). (a) If the combination is released with the stick horizontal, what is the speed of the center of the disk when the stick is vertical? (b) What is the acceleration of the center of the disk at the instant the stick is released? (c) At the instant the stick passes through the vertical?
Ex. 47 A circular disc of mass 2 kg and diameter 0.2 m is rotating about an axis passing through its centre and perpendicular to its plane. If it performs 120 revolutions per minute, calculate its rotational kinetic energy.
The figure shows three 0.0146 kg particles that have been glued to a rod of length L-5.58 cm and negligible mass. The assembly can rotate around a perpendicular axis through point O at the left end. If we remove one particle (that is, 33% of the mass), by what percentage does the rotational inertia of the assembly around the rotation axis decrease when that removed particle is (a) the innermost one and (b) the outermost one? (a) Number (b) Number Axis Units Units 0 m m m |a+d+d+
A ball of mass M = 1.30 kg and radius r = 4.50 cm is attached to one end of a thin, cylindrical rod of length L = 14.0 cm and mass m = 0.880 kg. The ball and rod, initially at rest in a vertical position and free to rotate around the axis shown in the figure below, are nudged into motion. L m M (a) What is the rotational kinetic energy of the system when the ball and rod reach a horizontal position? J (b) What is the angular speed of the ball and rod when they reach a horizontal position? rad/s V(c) Vfreefall (c) What is the linear speed of the center of mass of the ball when the ball and rod reach a horizontal position? m/s (d) What is the ratio of the speed found in part (c) to the speed of a ball that falls freely through the same distance?
A 20-kg piece of steel pipe that is 20 cm in diameter, 80 cm long, and 1 cm thick is rolling toward you at a speed of 3.0 m/s. (a)What is the magnitude and direction of the pipe’s angular velocity vector w? (b)What is the pipe’s rotational energy? (c) What is its total energy K + Urot?
A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its center. Rotating flywheels provide a means for storing energy in the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars. The gasoline burned in a 144-mile trip in a typical midsize car produces about 1.05 x 109 J of energy. How fast would a 18.7-kg flywheel with a radius of 0.247 m have to rotate to store this much energy? Give your answer in rev/min.
In the figure here, three particles of mass m = 0.017 kg are fastened to three rods of length d = 0.15 m and negligible mass. The rigid assembly rotates about point O at angular speed w = 0.55 rad/s. About O, what are (a) the rotational inertia of the assembly, (b) the magnitude of the angular momentum of the middle particle, and (c) the magnitude of the angular momentum of the assembly? M (a) /= i (b) L₂ = i (c) Ltot 0 m
In the figure, two particles, each with mass m = 0.88 kg, are fastened to each other, and to a rotation axis at 0, by two thin rods, each with length d = 5.6 cm and mass M = 1.3 kg. The combination rotates around the rotation axis with angular speed w = 0.28 rad/s. Measured about O, what is the combination's (a) rotational inertia and (b) kinetic energy? M. M. Rotation axis (a) Number i Units (b) Number i Units
Trucks can be run on energy stored in a rotating flywheel, with an electric motor getting the flywheel up to its top speed of 683 rad/s. One such flywheel is a solid, uniform cylinder with a mass of 535 kg and a radius of 1.2 m that rotates about its central axis. What is the kinetic energy of the flywheel after charging? If the truck uses an average power of 8.4 kW, for how many minutes can it operate between chargings?
The figure shows three 0.0114 kg particles that have been glued to a rod of length L= 5.70 cm and negligible mass. The assembly can rotate around a perpendicular axis through point O at the left end. If we remove one particle (that is, 33% of the mass), by what percentage does the rotational inertia of the assembly around the rotation axis decrease when that removed particle is (a) the innermost one and (b) the outermost one? Axis m m (a) Number i Units (b) Number i Units >