Dynamics

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Two blocks, of masses
\( m_{\text{A}}=0.35\;\text{kg} \)
and
\( m_{\text{B}}=1.15\;\text{kg} \),
are on a frictionles horizontal surface, the blocks are connected by a rope with negligible mass. A horizontal
force of constant magnitude equal to 15 N is applied by pulling the two blocks. Find the magnitude acceleration
acquired by the system and the tension in the rope connecting the blocks.

An Atwood machine has masses, of
\( m_{\text{A}}=6.25\;\text{kg} \)
and
\( m_{\text{B}}=6.75\;\text{kg} \),
connected by a weightless cord, through a pulley frictionless. Find:

a) The acceleration of the system;

b) The tension in the rope connecting the masses;

c) The tension in the rope that holds the system to the ceiling.

Assume the free-fall acceleration \( g=10\;\text{m/s}^{2} \),

a) The acceleration of the system;

b) The tension in the rope connecting the masses;

c) The tension in the rope that holds the system to the ceiling.

Assume the free-fall acceleration \( g=10\;\text{m/s}^{2} \),

In the system of the figure, the body *A* slides on a horizontal surface without friction, dragged by body
*B* that moves downward. Bodies *A* and *B* are attached by a rope of negligible mass parallel to the
surface and passing through a frictionless pulley of negligible mass. The masses of *A* and *B* are respectively
32 kg and 8 kg. Find the acceleration of the system and the tension on the cord. Assume
\( g=10\;{\text{m/s}}^{2} \).

In the system of the figure, the body *B* slides on a horizontal surface without friction, it is connected through
by ropes and pulleys, lightweight and frictionless, with two bodies *A* and *C* that move vertically. The
masses of *A*, *B*, and *C* are, respectively, 5 kg, 2 kg and 3 kg. Find the acceleration of the system
and the tension in the cord. Assume
\( g=10\;\text{m/s}^{2} \).

In an Atwood machine, the two bodies at rest on a horizontal surface, are connected by a cord, of negligible mass,
that passes over a frictionless pulley of negligible mass. The masses weight
\( m_{\text{A}}=24\;\text{kg} \)
and
\( m_{\text{B}}=40\;\text{kg} \)
and the free-fall acceleration
\( g=10\;\text{m/s}^{2} \).
Find body accelerations when:

a) \( F=400\;\text{N} \);

b) \( F=720\;\text{N} \);

c) \( F=1200\;\text{N} \).

a) \( F=400\;\text{N} \);

b) \( F=720\;\text{N} \);

c) \( F=1200\;\text{N} \).

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Fisicaexe - Physics Solved Problems by Elcio Brandani Mondadori is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License .