Question

Please show work and explanations to all parts of the question! Thanks!

In the figure, an initially stationary block of mass m= 3.00 kg begins to descend as a connecting cord unwraps from a pulley. Pulley Block Example 10.8.1 Figure 1 The pulley, which is mounted on a horizontal frictionless axle, is a disk (assumed uniform) of radius R=0.200 m and mass m2 = 8.00 kg. We want the speed v of the block and the angular speed o of the pulley when the block has fallen 0.150 m.

Answer 1

Q7)

Kp = (1/2)*Ip*w^2

= (1/2)*mp*R^2*w^2

= (1/2)*mp*v^2 <<<<<<<<----------Answer

Q8) (1/2)*mp*v^2 + (1/2)*m*v^2 = -m*g*delta_y

(1/2)*(mp + m)*v^2 = -m*g*delta_y

v^2 = -2*m*g*delta_y/(mp + m)

v = sqrt(-2*m*g*delta_y/(mp + m)) <<<<<<<<<-----------------Answer

Q9)

v = sqrt(-2*3*9.8*(-0.15)/(8 + 3) )

= 0.895 m/s <<<<<<<<<-----------------Answer

Q10)

w = v/R

= 0.895/0.2

= 4.48 m/s <<<<<<<<<-----------------Answer