O Resources Lx Give Up? Hint The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius r = 0.262 m and mass 4.32 kg, and two thin crossed rods of mass 8.66 kg each.A farmer would like to replace his wheels with uniform disks ta = 0.0588 m thick, made out of a material with a density of 8290 kg per cubic meter. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be? ra =

O Resources Lx Give Up? Hint The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius r = 0.262 m and mass 4.32 kg, and two thin crossed rods of mass 8.66 kg each.A farmer would like to replace his wheels with uniform disks ta = 0.0588 m thick, made out of a material with a density of 8290 kg per cubic meter. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be? ra =

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)...

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A solid cylinder haas a mass of 1.5 kg and a radius of 0.264 m. The cylinder is placed on an inclined surface and released from rest. The cylinder accelerates down the incline at a rate of 2.09 m/s^2, What is the manitude of the net torque that acts on it?
A 14.0kg box, resting on a horizontal frictionless surface, is attachedto a 4.00kg weight by a thin, light wire that passes over a frictionless pulley. The pulleyhas the shape of a uniform solid disk (3.00kg) and diameter of 0.500m. a) What is the acceleration of the weight downward? b) During the fall, what is the tension in the string holding the weight? c) What is the tension in the string pulling the 14.0kg box?
The figure shows a jet engine suspended beneath the wing of an airplane. The weight of the engine is 10100 N and acts ash shown in the figure. In flight the engine produces a thrust of 64500 N that is parallel to the ground. The rotational axis in the figure is perpendicular to the plane of the paper. With respect tot he axis, find the magnitude of the torque due to (a) the weight and (b) the thrust.
A uniform disk of mass 401 kg and radius 0.24 m is mounted on frictionless bearings so it can rotate freely around a vertical axis through its center (see the following figure). A cord is wrapped around the rim of the disk and pulled with a force of 10 N. 10 N (a) How much work (in 3) has the force done at the instant the disk has completed four revolutions, starting from rest? (b) Determine the torque due to the force. (Enter the magnitude in N-m) N m Calculate the work (in 3) done by this torque at the instant the disk has completed rour violations (c) What is the angular velocity (in rad/s) at that instant? (Enter the magnitude.)
A box of mass 1.49 kg connected to a pulley with a string is pulled by a force F= 114 newtons that makes an angle of 28.2 degrees with the horizontal. As the mass is pulled, the pulley rotates and the string is unwound. The radius of the pulley is 15.1 cm and it is twice as massive as the box. The pulley can be considered as a solid uniform disk. If the motion starts from rest, how many seconds later will the pulley have made 18 full turns? The image is attached of the pully. Thank you
If a torque of 20 N.m is applied to a wheel (I wheel = m R 2 ) radius 0.60 m. If the wheel accelerates at a rate of 2 rad/s 2, what is the mass of the disk?
A hollow cylinder has radius 9.5 cm and mass 1.8 kg. The cylinder rolls without slipping at a speed of 1.488 m/s, and begins to roll without slipping up a(n) 11° slope. What is the maximum height the cylinder will reach on the inclined plane when it comes to a stop?
ASK YOUR TEACHER - A hanging weight, with a mass of m, 0.375 kg, is attached by a rope to a block with mass m, 0.875 kg as shown in the figure below. The rope goes over a pulley with a mass of M-0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R, 0.0200 m, and an outer radius of R₂ 0.0300 m; the mass of the spokes is negligible. As the weight falls, the block slides on the table, and the coefficient of kinetic friction between the black and the table is , -0.250. At the instant shown, the block is moving with a velocity of v0.820 m/s toward the pulley. Assume that the pulley is free to spin without friction, that the rope does not stretch and does not slip on the pulley, and that the mass of the rope is negligible. R₂ R HEX (a) Using energy methods, find the speed of the block (in m/s) after it has moved a distance of 0.700 m away from the initial position shown. DETAILS m/s (b) What is the angular speed of the pulley (in rad/s) after the block has moved…
Take a look at chapter 10, problem 71 in the text book. If the smaller radius = 19.5 cm and the larger radius = 81 cm, then what is the needed force acting to the left in order for the flywheels to not begin rotating? Assume that the force pulling to the left is 36.7 N.
Question 16 my m, Two blocks are joined by a pulley system (see Figure). The pulley is a solid disk of mass 0.5 kg and radius 179 mm. Assume that the pulley rotates smoothly. If mass 1 is 4.4 kg and mass 2 is 15 kg, what is the angular acceleration of the disk? HINT: the tensions in the horizontal and vertical portions of the rope are not equal. (PUHQ1629)
A simple pendulum consists of a small object of mass 3.0 kg hanging at the end of a 2.0-m-long light string that is connected to a pivot point. (a) Calculate the magnitude of the torque (due to the force of gravity) about this pivot point when the string makes a 8.0° angle with the vertical. N.m (b) Does the torque increase or decrease as the angle increase? increase O decrease Explain.