Question

rolling motion:

Answer 1

My question: is the acceleration at point B acts(theta), where a is the tangential acceleration of the pulley and theta, angle between the slope and rope. OR are the two accelerations equal (which i think is not, but not completely sure)

Answer 2

sorry for the typo, its acos(theta)

Answer 3

medal, fan, whatever you want

Answer 4

1) Your picture of the system has no point B. Is this the redrawing of the mass farther down the ramp?

2) The first screenshot of the question says the pulley is massless, but the second screenshot says its heavy and to assume a moment of inertia.

This needs some clarification to proceed.

Answer 5

point B is the point when its 16m from the ground and assume pulley is heavy.

Answer 6

Sorry, but one other thing, is the surface smooth?

Answer 7

yes

Answer 8

I'm still pondering this, but to answer the question you posed: no, the acceleration of the mass simply due to gravity (by geometry) is asin(theta).