help The circular disk of 200-nmi radius has a mass of 30 kg with a centroidal r
ID: 1863410 • Letter: H
Question
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The circular disk of 200-nmi radius has a mass of 30 kg with a centroidal radius of gyration of k0 = 175 mm and has a concentric circular groove of 75 nun cut into it. The disk rolls without slipping on the horizontal surface. If a steady force of r = 150N is applied at an angle of 0 = 35 degree to a cord wrapped around the groove as shown, determine The angular acceleration of the disk. Give both the magnitude and the direction (CW or CCW) of the rotation. The acceleration aG of the mass center of the disk. Give both the magnitude and the direction (left or right) of the acceleration. The minimum coefficient of friction for which the disk will not slip.Explanation / Answer
a) angular accelaraton
(radius of gyration)^2*mass = I moment of inertia
torque = I* angular accelaration
Angular Accelaration in x-direction and y direction
=10.03i + 5.83*10^-3j cycles/sec^2
b) accelaration of the mass of the centre of disk = 1.69i+9.83*10^-4
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