In the pulley system shown in the figure, the masses of the blocks are mi and m2. The pulleys and the ropes are of negligible mass, the ropes are perfect and there is no friction in the system. There is no slippage between the pulleys and the ropes. The initial speed of the weights and pulleys is zero. Find the acceleration of the weights, the tension of the rope (T), and the direction of rotation of the pulleys.

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In the pulley system shown in the figure, the masses of the blocks are
mi and m2. The pulleys and the ropes are of negligible mass, the ropes
are perfect and there is no friction in the system. There is no slippage
between the pulleys and the ropes. The initial speed of the weights and
pulleys is zero. Find the acceleration of the weights, the tension of the
rope (T), and the direction of rotation of the pulleys.
A)T = 0;a, = g;a, = g
B)T =(m +m,) g.q = g;a, = g
m,
- g,az
m2
m,
C)T =(m, + m,) g;a =
D)T = (m, + m, )g; =
.0; = m,
%3D
g,az
%3D
%3D
т,
E)T = 0; a, = g,a
%3D
Transcribed Image Text:In the pulley system shown in the figure, the masses of the blocks are mi and m2. The pulleys and the ropes are of negligible mass, the ropes are perfect and there is no friction in the system. There is no slippage between the pulleys and the ropes. The initial speed of the weights and pulleys is zero. Find the acceleration of the weights, the tension of the rope (T), and the direction of rotation of the pulleys. A)T = 0;a, = g;a, = g B)T =(m +m,) g.q = g;a, = g m, - g,az m2 m, C)T =(m, + m,) g;a = D)T = (m, + m, )g; = .0; = m, %3D g,az %3D %3D т, E)T = 0; a, = g,a %3D
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