Attached pulleys A and B of radius 15 cm and 10 cm are nted on a fixed axle and
ID: 1475916 • Letter: A
Question
Attached pulleys A and B of radius 15 cm and 10 cm are nted on a fixed axle and wound with cords under tension and 63 N. The total moment of inertia is 0.4 kg.m^2. Find the time to reach angular velocity 18 rad/s from rest. The rotation is (clockwise / counterclockwise ) Explain: when k = 6 J, Find angular velocity + angular displacement Find the force keeping the axle in place. If the experiment was repeated with the axle removed, the answer to (a) would be (the same / greater / less. How much tension in cord B would be needed to prevent rotation against the 50-N tension in cord A?Explanation / Answer
a) Net torque acting on the pulley, Tnet = 63*0.1 - 50*0.15
= -1.2 N.m
negative sign indictaes clockwise torque.
angular acceleration, alfa = Tnet/I
= 1.2/0.4
= 3 rad/s^2
Apply, w = wo + alfa*t
==> t = (w - wo)/alfa
= (18 - 0)/3
= 6 s <<<<<<<<<----------------Answer
b) clockwise <<<<<<<<<----------------Answer
c) let Fx is the force on axle
Apply, Fnetx = 0
50 + 63 - Fx = 0
Fx = 113 N <<<<<<<<<----------------Answer
d) Net torque ahould be zero.
50*0.15 - F*0.1 = 0
==> F = 50*0.15/0.1
= 75 N <<<<<<<<<----------------Answer
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