A weight with mass mw =250 g is tied to a piece of threadwrapped around a spool, which is suspended in such a waythat it can rotate freely. When the weight is released, itaccelerates toward the floor as the thread unwinds.Assume that the spool can be treated as a uniform solidcylinder of radius R = 3.00 cm and mass Ms100 g .M,Find the magnitude a of the acceleration of the weight as itdescends. Assume the thread has negligible mass and doesnot slip or stretch as it unwinds.Use g = 9.81 m/s?.ma =mwFind the tension T in the thread. cylinder of radius R =Find the magnitude a of the acceleration of the weight as it3.00 cm and mass M, = l100 g.M,descends. Assume the thread has negligible mass and doesnot slip or stretch as it unwinds.Use g9.81 m/s?.ma =mwFind the tension T in the thread.T =

Name: A weight with mass mw =250 g is tied to a piece of threadwrapped arou
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Description: A weight with mass mw =250 g is tied to a piece of threadwrapped around a spool, which is suspended in such a waythat it can rotate freely. When the weight is released, itaccelerates toward the floor as the thread unwinds.Assume that the spool can b

When a weight with mass mw is suspended by a spool, the following forcesare acting on it:1)…

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a = Find the tension T in the thread. T =

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 72PQ: Consider the disk in Problem 71. The disks outer rim hasradius R = 4.20 m, and F1 = 10.5 N. Find the...

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A weight with mass ?w=250 g is tied to a piece of thread wrapped around a spool, which is suspended in such a way that it can rotate freely. When the weight is released, it accelerates toward the floor as the thread unwinds. Assume that the spool can be treated as a uniform solid cylinder of radius ?=4.00 cm and mass ?s=100 g. Find the magnitude of the acceleration of the weight as it descends. Assume the thread has negligible mass and does not slip or stretch as it unwinds. Find the tension in the thread.
A yo-yo is constructed of two brass disks whose thickness b is 8.5mm and whose radius R is 3.5cm, joined by a short axle whose radius Ro is 3.2mm. A. What is the rotational inertia about its central axis? Neglect rotational inertia of the axle. The density p is 8400kg/m^3. B. A string of length l=1.1m and of negligible thickness is wound on the axle. What is the linear acceleration of the yo-yo as it rolls down the string from the rest?
A cylinder of mass M and radius R is pulled by a constant force of magnitude Fapplied at the top horizontally. The cylinder rolls smoothly on the horizontal surface. Assume that M=10 kg, R=0.10 m, F=12 N, and note that the rotational inertia of the cylinder about its axis is 1/2MR^2 (a) Find the magnitude of the acceleration of thic center of mass of the cylinder (please input the numerical value in unit of m/s) (b) Find the magnitude of the angular acceleration of the contact point between the cylinder and the surface about the axis of the cylinder (please input the numerical value in unit of rad/s). (c) Find the magnitude of the frictional force acting on the cylinder (please input the numerical value in unit of N).
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A block of mass m rests on a slope, at an angle (theta_, and is attached by a string of negligible mass to a solid drum of mass M and radius R, as shown in the figure. When released, the block accelerates down the slope at rate a. a) Use the rotational form of Newton’s 2nd law (i.e. the net torque onthe system) to find the tension in the cable. b) Use Newton’s 2nd law (i.e. the net force on the system) to find thecoefficient of friction c) Using the expression found in part b) what is the acceleration of theblock if the slope is frictionless and the drum is massless?
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