In the figure, two particles, each with mass m cm and mass M = 1.1 kg. The combination rotates around the rotation axis with angular speed w = 0.32 rad/s. Measured about O, what is the combination's (a) rotational inertia and (b) kinetic energy? 0.84 kg, are fastened to each other, and to a rotation axis at O, by two thin rods, each with length d = 5.8 M. т м Rotation axis (a) Number Units (b) Number Units

In the figure, two particles, each with mass m cm and mass M = 1.1 kg. The combination rotates around the rotation axis with angular speed w = 0.32 rad/s. Measured about O, what is the combination's (a) rotational inertia and (b) kinetic energy? 0.84 kg, are fastened to each other, and to a rotation axis at O, by two thin rods, each with length d = 5.8 M. т м Rotation axis (a) Number Units (b) Number 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

Two point-like beads of mass are free to slide on a rod (mL2) of length L= 14 m and mass m as shown in the figure. Initially the beads are at the certer and the rod is spinning freely (with no external torque) at w rad/s about a vertical axis through its center. Slowly the beads move radially out. At some instant, the angular speed of the system is and one of 3 2L ?the bead is at distance 4 from the center. At this instant, what is the distance of the other bead from the center (in m) L
In a popular game show, contestants give the wheel a spin and try to win money and prizes! The wheel is given a rotational velocity and this rotation slows down over time and the wheel eventually stops. One contestant gives the wheel an initial angular velocity (ωi).. Because of friction, the wheel eventually comes to rest (ωf = 0 radians/sec) in time t. c.)What is the Δθ of the wheel as it comes to a stop?
At a particular instant an object at (r=2m and θ=0 )is moving such that its radial speed is 3m/s and its angular speed is 2m/s. What is the magnitude of its speed?
page A golfers clubs' linear tangential velocity at contact with the ball on the tee was recorded as 35.6 m/s. Given the distance from the club head to the golfers centre of rotation as 1.35 m calculate the angular velocity (radians/s) of rotation at the point of contact to 2 decimal places. Answer: ere to search B R Bi 5 T 6 B H 9 Pa O Finish attempt P 6°C Light ra
A disk rotates about an axis through its center. Point A is located on its rim and point B is located exactly one fourth of the way from the center toward the rim. What is the ratio of the angular velocity ?A to that of ?B, and the tangential velocity vA to that of vB? HINT (a) the angular velocity ?A to that of ?B ?A ?B = (b) the tangential velocity vA to that of vB vA vB =
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 wheel with a radius of 0.23 m and a mass of 7.31 kg spins about its axis at 6.53 radians per second. What is the kinetic energy of the wheel in J? Treat the wheel as a cylinder of constant density.
A 30 kg child stands on the edge of a stationary merry-go-round of mass 100 kg and radius 2.0 m. The rotational inertia of the merry-go-round about its axis of rotation is 150 kgm2. The child catches a ball of mass 1.0 kg travelling at 16 m/s at an angle Ø=37º thrown by a friend. If the merry-go-round starts at rest, what is the angular speed of the merry-go-round just after the ball is caught.
A disc with 0.6 kg m^2 moment of inertia is free to rotate about its center. Two forces F1=5N and F2=3N is applied perpendicularly but on the opposite sides of disc. What is its angular acceleration if radius is 0.2 meters.
Question 6: The particle has a mass of 0.5 kg and is confined to move along the smooth horizontal slot due to the rotation of the arm OA. Determine the force of the rod on the particle and the normal force of the slot on the particle when 0 = 30°. The rod is rotating with an angular acceleration of Ö= 3 rad/s2 when e= 2 rad/s at 0 = 30°. Assume the particle contacts only one side of the slot at any instant. A ở = 2 rad/s 0.5 m
Two identical flywheels with radius 1.00 m are fixed in place on a table and spinning side-by-side, each spinning about their center as shown. Wheel A is initially spinning in the clockwise direction, and has initial angular velocity of wa0 = -16.0 rad/s, with O40 = 0 rad, and a constant angular acceleration a = 1.90 rad/s². Wheel B is initially spinning in the counter-clockwise direction, and has initial angular velocity Wgo = 16 rad/s, with 6g0 = 0 rad, and has angular acceleration a = –1.85 rad/s² – 5.33t rad/s³ + 1.02t² rad/st. string в sensor a) If assume the center of mass of the sensors is 5.00 cm inward from the outer edge of the wheel, then what is the net translational acceleration acting on the sensor attached to wheel B at t-6.00 s? What angle does this acceleration vector make with the radial direction?
In a satellite model for a science project, given the masses of the three satellites mA=1.4 kg, mp=2.8 kg, and mc =4.6 kg that are connected with massless rods, joined at the point the rotation axis is passing through. The satellites have the distances RA=1 m, RB rad = 0.9 m, and Rc =1.5 m, from the rotation axis. The system rotates with an angular speed w = 2.3 mA RA RB Rc MB 1. Calculate the moment of inertia /; for this model: /; = kg m² 2. Calculate the magnitude of the angular momentum L; = m2 kg 3. Calculate the rotational kinetic energy K;= 4. As the system is rotating counter-clockwise the direction of the vector is The mass mc was not properly glued and breaks away during the rotation. 1. Calculate the moment of inertia If for this model now. If= kg m2 2. Using the conservation of angular momentum, calculate the angular speed wf after the mass mc has broken away during rad the rotation. Wf= 3. Calculate the rotational kinetic energy in this situation: K=