Question

2. Consider the two objects shown below. Both of the objects have the same mass and the same size and the on the left hand side marks the location of the rotation axis, allowing them to rotate in the plane of the page. If the same torque is applied to both objects, what will be the relationship between the angular accelerations of the objects? Justify your answer. (12 points)

Answer 1

objecte object 6 are mass het these two objects a and b having same and game size The ® marks the location Same torque is applied to both objects of the rotation axis of a a sum of We know, moment of inertia rigid body is a quantity that determines the torque needed for a desired angular acceleration about rotational axis.lt depends on the body's mass distribution and the axis choses. Also, moment of inertia can be expressed as the the products of the mass of each particle in the body with the square of its distance from zhe Quis of rotation. Simply saying. When a torque is applied to an object it begins to rotate acceleration inversely proportion) of inertia. The moment to with an its. moment of inertia is the rotational mass I- Jamro I decreases when mass is more distributed near axis CScanned with CamScanner

mass Compairing the of object b the rotational both objects a and b, is distributed axis more near . Ib < Ia The angulor acceleration is equal to the Det torque divided by the moment of inertia Σ 7 I are Here the net torque (2) applied to both objects same the angular acce leration the moment of inertia only depenols since , Iba la and x angular acceleration X I Xb> is le, angular acceleration of b greater than angular acceleration of a for the given ab amount o torque, CScanned with CamScanner
angular acceleration of the second object is greater than the first .Since the moment of inertia of the second is less than that of the first.more explanation is shown in the image