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Angular Acceleration (Ranking)

ID: 1769311 • Letter: A

Question

Due in 8 hours, 6 minutes A series of object are being rotated. The same net torque is being applied to each object. Rank the object in order of the resulting angular acceleration (1=lowest).
1234 A solid disk spinning about its center. Total mass is M and a radius of 2R.
1234 An object consisting of two objects connected by a massless rod. Each object has a mass of 2M and is a distance R from the axis of rotation.
1234 A solid sphere spinning about its center. Total mass is 0.5M and the radius is R.
1234 A solid disk spinning about its center. Total mass is M and a radius of R.
Incorrect. Tries 6/10 Previous Tries

Angular Acceleration (Ranking) Due in 8 hours, 6 minutes A series of object are being rotated. The same net torque is being applied to each object. Rank the object in order of the resulting angular acceleration (1=lowest).
1234 A solid disk spinning about its center. Total mass is M and a radius of 2R.
1234 An object consisting of two objects connected by a massless rod. Each object has a mass of 2M and is a distance R from the axis of rotation.
1234 A solid sphere spinning about its center. Total mass is 0.5M and the radius is R.
1234 A solid disk spinning about its center. Total mass is M and a radius of R.
Incorrect. Tries 6/10 Previous Tries

Due in 8 hours, 6 minutes

Explanation / Answer


Torque = I*alfa


dis I = 0.5*M*(2R)^2 = 2MR^2

rod = I = 2*2M*R^2 = 4MR^2


solid sphere I = (2/5)*(0.5M)*R^2 = 0.1*M*R^2


solid disk I = 0.5*M*R^2 = 0.5MR^2

alfa is low for more I

starting from lowest


1) An object consisting of two objects connected by a massless rod. Each object has a mass of 2M and is a distance R from the axis of rotation

2) A solid disk spinning about its center. Total mass is M and a radius of 2R

3) A solid disk spinning about its center. Total mass is M and a radius of R

4) A solid sphere spinning about its center. Total mass is 0.5M and the radius is R.