Please help I am in a hurry!! Consider the following four objects: a hoop, a solidsphere, a hollow sphere, a flat disk. Each of the objects hasa mass

Emily-Jane Bray

Emily-Jane Bray

Answered question

2021-01-08

Please help I am in a hurry!!
Consider the following four objects: a hoop, a solidsphere, a hollow sphere, a flat disk. Each of the objects hasa mass M and a radius R. The axis of rotation passes throughthe center of each object, and is perpedicular to the plane of thehoop and the plane of the flat disk. Which object requiresthe largest torque to give it the same angular acceleration. I need to justify my answers and rank the objects starting with theone that requires the largest torque.

Answer & Explanation

BleabyinfibiaG

BleabyinfibiaG

Skilled2021-01-09Added 118 answers

ok, Net Torque=Inertia×α
Inertia Hoop= MR2
Inertia Solid Sphere= (25)MR2
Inertia Hollow Sphere= (23)MR2
Inertia Disk= (12)MR2
If all 4 objects have equal alphas(angular acceleration), then theone with the highest Inertia will have the greatest torque, sincethey all involve MR2, just compare the coefficients...
1>(23)>(12)>(25).....thus the rank would be

Hoop>Hollow Sphere>Disk>Solid Sphere
Hey
The one that requires the highest amount of torque is: a hoop, thin/hollow sphere, disc, solid sphere.
The reason for this is that the moment of inertia is the highestfor the hoop, and then goes down as follows moment of inertia is know as I, and the equation is I=constant×M×R2, the constant varies for the type of object and itcan be found in most physics books.

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