The uniform solid disk has a mass m and radius R Determine t

The uniform solid disk has a mass m and radius R. Determine the magnitude and direction of the angular acceleration of the disk at the instant MP 10 mg O 6glR, clockwise 2g (3R, clockwise 2g13R, counterclockwise 2g/R. counterclockwise 2g/R. clockwise

Solution

mass of the disk = m kg

radius = R

angle between 3 and 5 = cos^-1(3/5)

horizontal component of force P = P x cos(cos^-1(3/5)) = Px3/5 = 10mg x 3/5 = 6mg

so, linear acceleration = P/m = 6g

angular acceleration = linear acceleration/R = 6g/R

and its direction is towards clockwise.