TP 11.41

Given: M = 2.85 kg

            m = 0.742 kg 

            R = 0.121 m

(a)  Find:  a

Mg - T = M a 

T R = I_P a 

a = a/R

 T R = I_P a/R

 T R² = I_P a

 T R² =  (1/2 m R² ) a

T = m a /2

ma/2 = M g - M a 

a = Mg/(m/2 + M) = 8.71 m/s²

(b) Find:   a

a = a/R = (8.71 m/s²)/(0.121 m) = 72.0 rad/s²

(c) Find:  y - y₀ =

y = y₀ + V₀t + 1/2 at² 

y - y₀ = 1/2 at² 

y - y₀ =  9.80 m