Answer:
Explanation:
To make the body to rotate about its axis , torque is required . The relation for torque in mechanics is τ = I α 1
where τ is the torque , I is the moment of inertia of the body and α is the angular acceleration.
The moment of inertia I = m r² ; m is the mass of body and r is the distance from the axis of rotation . In this case we have attached the mass to the foot . By which its moment of inertia increases . We have not applied any torque , that means the torque will remain the same
In equation 1 If I increases , the value of α will decrease because torque is constant . Thus angular acceleration will decrease .
The angular displacement θ = ω₀ t + 1/2 α t²
where ω₀ is the initial angular velocity and α is the angular acceleration .
As the α decreases the value of θ also decreases .
The angular displacement can be defined as the angle described by the rotating body in one sec .
Similarly ω = ω₀ + α t
This also depends upon angular acceleration , which decreases .
That means angular velocity also decreases .
As no torque is required in this case , because in space , there is no force of friction .
Thus the work done W = τθ will be equal to zero , because τ is zero
