A wooden disk is set on its edge on a table top. A string is wrapped around itsouter circumference and a hand is pulling on the string horizontally from thetop, so that the disk rolls without slipping on the table. The center of the disk ismoving with a velocity of 12.0 cm/s. What is the velocity of the hand?V handVcenter FORMULASs= r0,1= lever armT = FI, wherev = ro,Torque: t = F(sin0)ra = raEquilibrium: Στ-0Non-equilibrium:Στ= ΙαMoments of Inertia for Various Rigid Objects of uniform composition: Pointmass: I= MR2Moments of Inertia for Various Rigid Objects of Uniform CompositionHoop or thincylindrical shell1= MRSolid sphereRSolid cylinderor diskThin sphericalshell-MR2MR1=-2Long, thin rodwith rotation axisthrough centerI MI?Long, thinrod withrotation axisthrough endML?= r®,1= lever armv = ro,a = raTorque: t = F(sin0)rT = Fl, where%3DEquilibrium: Στ-0Non-equilibrium:Στ-Ια

This is a scenario when rotational and translation motion are involved simultaneously. Let's solve…

A wooden disk is set on its edge on a table top. A string is wrapped around its outer circumference and a hand is pulling on the string horizontally from the top, so that the disk rolls without slipping on the table. The center of the disk is moving with a velocity of 12.0 cm/s. What is the velocity of the hand? V hand Vcenter

A wooden disk is set on its edge on a table top. A string is wrapped around its outer circumference and a hand is pulling on the string horizontally from the top, so that the disk rolls without slipping on the table. The center of the disk is moving with a velocity of 12.0 cm/s. What is the velocity of the hand? V hand Vcenter

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

A toy racecar races along a circular race track that has a radius of 19 meters. The racecar starts at the 3-o'clock position of the track and travels in the CCW direction. Suppose the car has swept out 2.25 radians since it started moving. a. The racecar is how many radius lengths to the right of the center of the race track? radius lengths Preview b. The racecar is how many meters to the right of the center of the race track? meters Preview c. The racecar is how many radias lengths above the center of the race track? radius lengths Preview d. The racecar is how many meters above the center of the race track? meterss Preview
A skateboarder is attempting to skate through a vertical loop of radius r = 7.5 m. He skates down a ramp and is launched into the loop by an inclined plane that makes an angle of θ = 45 degrees with respect to the horizontal. a. If the skateboarder begins from rest how high does the ramp he starts from have to be so that he does not fall at the top of the loop? Give your answer in meters.
Consider an annular disk rolling down an inclined plane. The annular disk has mass 154 [g], inner radius 8.00 [cm] and outer radius 12.0 [cm]. The inclined plane has a slope that forms an angle of 44.6° with the ground. A. Suppose that the coefficient of static friction ?s is large enough so that the annular disk rolls without slipping. What is the magnitude of the translation acceleration felt by the annular disk's center of mass in the direction parallel to the slope? B. What is the minimum value that the coefficient of static friction ?s must take so that the annular disk rolls without slipping?
R= 300 m a= 10 m/sec2 X= 5
In a charming 19th-century hotel, an old-style elevator is connected to a counterweight by a cable that passes over a rotating disk 2.00 m in diameter (Figure 1). The elevator is raised and lowered by turning the disk, and the cable does not slip on the rim of the disk but turns with it. Part A At how many rpm must the disk turn to raise the elevator at 35.0 cm/s? Express your answer in revolutions per minute. Nνα ΑΣφ W = rpm Part B Figure 1 of 1 To start the elevator moving, it must be accelerated at g. What must be the angular acceleration of the disk, in rad/s? Express your answer in radians per second squared. Πν ΑΣφ ? Disk a = rad/s? Counterweight Part C Elevator
A stone, rolling with speed 50 cm/s, rolls off the edge of a table that is 1.1 m high.a.) How long does it take to drop to the floor?b.) How far horizontally from the table edge does the marble strike the floor? Please help me tutor asap. Thank you and God bless
A BY NC SA 2021 Joe Graber -X- rad A car tire travels with a clockwise angular rotation of w 10 and an angular deceleration of a = 15 rad 82 The radius of the tire is r = 0.55 m and at the instant shown, 0 42° a. Find the acceleration of point A as a cartesian vector. 3) m AA i +
A. Determine the acceleration of the particle moving in a circular path as shown below at the instant that its velocity is 1m/s while its tangential acceleration is 2?/?^2.
Calculator will be set in radian mode.
I need the answer as soon as possible
A vertical rod AB moves to the right with a speed of 1 m / s and an acceleration of 3 m / s2. On the same compilation, a C axis slides on rod AB with velocity dy / dt = 4 m / s and acceleration d2y / dt2 = 2 m / s2. Calculate the radius of the actual distance curve of junction C in this compilation.
A small object of mass 0.500 kg is attached by a 0 0.650 m-long cord to a pin set into the surface of a frictionless tabletop. The object moves in a circle on the horizontal surface with a speed of 6.91 m/s.1. What is the magnitude of the radial acceleration of the object?2. What is the tension of the cord?