A nonuniform, horizontal bar of mass is supported by two massless wires against gravity. The left wiremakes an angle…
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Question “A nonuniform, horizontal bar of mass is supported by two massless wires against gravity. The left wiremakes an angle…”
by two massless wires against gravity. The left wiremakes an angle
with the
horizontal, and the right wire makes an angle. The bar
has length .
Answer
To solve the problem, you will need to understand the center of mass, the rotational, translational, and tension equilibrium forces.
To determine the tension on the left cord, consider the translational equilibrium force of the block. The tension in the rotational equilibrium of the block can be used to determine the tension. To calculate the center mass, you must rewrite the equation of rotational equilibrium.
The tension of the rope will include both horizontal and vertical components.
The translational equilibrium will see the forces acting horizontally and vertically balanced. To balance the block, the net horizontal force and vertical force will equal zero.
The rotational equilibrium will balance the vertical and horizontal torques. To balance the block, the net torque acting horizontally as well as the net force acting vertically is equal to zero. The force multiplied by the distance perpendicular to which force acts will give the torque.
As shown in Figure 1, the block is hung as follows: