Answer to Question #183667 in Classical Mechanics for joseph

Question

Answer in three decimal places

1.If block A has a velocity of 8.1 ft/sec to the right, determine the velocity of cylinder B. The velocity of B is positive if downward, negative if upward.

v_B = __ ft/sec

2.At a certain instant, the velocity of cylinder B is 0.91 m/s down and its acceleration is 3.69 m/s² up. Determine the corresponding velocity and acceleration of block A. The velocity and acceleration of A are positive if down the slope and negative if up the slope.

v_A= _ m/s

a_A= _ m/s²

Answer 1

1)

$v_B=\frac{v_A}{2}=4.050~\frac{ft}{s}.$

2)

$v_A=2v_B=1.820~\frac{m}{s},$

$a_A=\frac{a_B}{4}=0.923~\frac{m}{s^2}.$