r=9.4 cm, m=8.6 kg r4.5 ст, т, -0.55kg m,=4.8 kg 0-22° 1. A 4.8 kg weight, mw, slides down a frictionless ramp that is at an angle of 0=22° with respect to the horizontal. The weight is attached to a massless string, which in turn is threaded over a pulley (solid disk) of radius r, = 4.5 cm and mass mp, = 0.55 kg. The string is then wound around a thin hollow metal cylinder (hoop) of radius r. = 9.4 cm and mass m. = 8.6 kg. Assuming the wheel starts from rest, find its velocity after it has traveled a distance s = 15 cm down the ramp.

r=9.4 cm, m=8.6 kg r4.5 ст, т, -0.55kg m,=4.8 kg 0-22° 1. A 4.8 kg weight, mw, slides down a frictionless ramp that is at an angle of 0=22° with respect to the horizontal. The weight is attached to a massless string, which in turn is threaded over a pulley (solid disk) of radius r, = 4.5 cm and mass mp, = 0.55 kg. The string is then wound around a thin hollow metal cylinder (hoop) of radius r. = 9.4 cm and mass m. = 8.6 kg. Assuming the wheel starts from rest, find its velocity after it has traveled a distance s = 15 cm down the ramp.

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

The clutch system is used to transmit torque through a 2-mm-thick oil film with m = 0.38 N?s/m2 between two identical 30-cm-diameter disks. When the driving shaft rotates at a speed of 1450 rpm, the driven shaft is observed to rotate at 1398 rpm. Assuming a linear velocity profile for the oil film, determine the transmitted torque.
At the local playground, a 21-kg child sits on the right end ofa horizontal teeter-totter, 1.8 m from the pivot point. On the leftside of the pivot an adult pushes straight down on the teeter-totterwith a force of 151 N. In which direction (clockwise or counterclockwise) does the teeter-totter rotate if the adult applies the forceat a distance of (a) 3.0 m, (b) 2.5 m, or (c) 2.0 m from the pivot?
A yo-yo-shaped device mounted on a horizontal frictionless axis is used to lift a 31 kg box as shown in the figure. The outer radius R of the device is 0.56 m, and the radius r of the hub is 0.23 m. When a constant horizontal force F→app of magnitude 180 N is applied to a rope wrapped around the outside of the device, the box, which is suspended from a rope wrapped around the hub, has an upward acceleration of magnitude 0.63 m/s2. What is the rotational inertia of the device about its axis of rotation?
A person pushing a uniformly‑loaded 51.7 kg51.7 kg wheelbarrow of length ?L with pushing force ?⃗ P→ is attempting to get it over a step. The maximum horizontal force that the person can apply is ??=681 N.Px=681 N. What is the maximum height ℎh of the step, expressed as a fraction ?n of the wheel's radius ?R, that the person can get the wheelbarrow over? The gravitational acceleration is ?=9.81 m/s2.
A block of mass m1 =2,00 kg and a block of mass m2=6,00 kg are connected by a rope negligible mass over a pulley in the shape of a solid disk that has radius R= 0,250 m and mass M=10,0 kg. These blocks are allowed to move on an incline ramp of angle30.00, as shown in the figure. The coefficient of kinetic friction between the blocks and the ramp is 0,360. Determine (a) the acceleration of the system and b) the tensions in the rope on both sides of the pulley.
A cat dozes on a stationary merry-go-round, at a radius of 4.9 m from the center of the ride. Then the operator turns on the ride and brings it up to its proper turning rate of one complete rotation every 6.8 s. What is the least coefficient of static friction between the cat and the merry-go-round that will allow the cat to stay in place, without sliding?
A light string can support a stationary hanging load of 25.0 kg before breaking. An object of mass 3.00 kg attached to the string rotates on a frictionless, horizontal table in a circle of radius r =0.8 m, and the other end of the string is held fixed as shown in the figure. What range of speeds can the object have before the string breaks?
Object A weighs 64.4 lb and has a radius of gyration of 0.60 ft with respect to a horizontal axis through G, and it rolls without slipping on the incline. The velocity of block B changes from 15.0 fps upward to 6.0 fps upward while moving upward a total distance of 6.00 ft. Calculate the weight of block B.
In a popular amusement park ride, a rotating cylinder of radius 3.00 m is set in rotation at an angular speed of 5.00 rad/s, as in Figure P7.75. The floor then drops away, leaving the riders suspended against the wall in a vertical position. What minimum coefficient of friction between a rider’s clothing and the wall is needed to keep the rider from slipping? Hint: Recall that the magnitude of the maximum force of static friction is equal to μsn, where n is the normal force—in this case, the force causing the centripetal acceleration.
You have a disk that is 105 kg, has a 0.297-m radius, and is turning at 71.15 rpm, and you press a steel axe against it with a radial force of 46.65 N. Assuming the kinetic coefficient of friction between steel and stone is 0.451. How many turns will the stone make before coming to rest?
One end of a cord is fixed and a small 0.700-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 1.50 m, as shown in the figure below. When? = 24.0°, the speed of the object is 6.50 m/s. (a) At this instant, find the magnitude of the tension in the string.N(b) At this instant, find the tangential and radial components of acceleration. at = m/s2 downward tangent to the circle ac = m/s2 inward (c) At this instant, find the total acceleration.inward and below the cord at °(d) Is your answer changed if the object is swinging down toward its lowest point instead of swinging up? Yes No (e) Explain your answer to part (d).
One end of a cord is fixed and a small 0.500-kg object is attached to theother end, where it swings in a section of a vertical circle of radius 2.00 m as shown. When θ = 20.0°, the speed of the object is 8.00 m/s. At this instant, find (a) the tension in the string, (b) the tangential and radial components of acceleration, and (c) the total acceleration. (d) Is your answer changed if the object is swinging down toward its lowest point instead of swinging up? (e) Explain your answer to part (d).