Answer to Question #49772 in Physics for nick

Question

Given a system like the one you used in lab and the following numbers for the moment of inertia of the T, the radius of the vertical bar and the hanging mass calculate the expected acceleration of the system.
I = 0.040 kg m2
r = 0.015 m
m = 0.500 kg

Answer 1

The forces on mass m are tension andgravity, so ussing Newton’s second law and expression of moment of inertia we
have:
I =( mgr²/α) − mr²
So accelerationof the system α=mgr²/(I+mr²)=0.03m/s²