- #1
PhyCalc
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Homework Statement
A uniform disk 0.3m in diameter and having a mass of 2 kg isfree to rotate about its horizontal axis on frictionless bearings.An object with a mass of 0.05 kg is attached to a string wound around the rim of the disk. The object is released from rest and descends with constant linear acceleration. Calculate: (a) the moment of inertia of the disk; (b) the linear acceleration of the descending object; (c) the angular acceleration of the disk; and(d) the tension in the string.
Diameter of Disk : 0.3 m
mass of disk = 2 Kg
mass of attached object = 0.05 kg
Homework Equations
I = 1/2*mass*radius^2
Linear acceleration =Force/Mass
Angular Acceleration=linear acceleration/radius
The Attempt at a Solution
For
A. I = 1/2(2 kg)(0.15 m)^2 = 0.0225 kg.m^2
B. LA= [(0.05 kg)(9.81 m/s^2)] / 2 kg = 0.24525 m/s^2
C. AA= (0.2452 m/s^2) / 0.15 m = 1.635 rad/s^2
D. Not sure where to begin
I have attempted using known equations to me. I am not sure if I am using right equations to begin with.
Help will be greatly appreciated.