A uniform beam of length L and mass m shown in the figure below is inclined at an angle ? to the horizontal. Its upper end is connected to a wall by a rope, and its lower end rests on a rough, horizontal surface. The coefficient of static friction between the beam and surface is ?s. Assume the angle ? is such that the static friction force is at its maximum value. (a) Draw a force diagram for the beam. (b) Using the condition of rotational equilibrium, find an expression for the tension T in the rope in terms of m, g, and ?.
Rotational Equilibrium And Rotational Dynamics
In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.
Equilibrium of Forces
The tension created on one body during push or pull is known as force.
A uniform beam of length L and mass m shown in the figure below is inclined at an angle ? to the horizontal. Its upper end is connected to a wall by a rope, and its lower end rests on a rough, horizontal surface. The coefficient of static friction between the beam and surface is ?s. Assume the angle ? is such that the static friction force is at its maximum value.
(a) Draw a force diagram for the beam.
(b) Using the condition of
(c) Using the condition of
(d) Using the results from parts (a) through (c), obtain an expression for ?s involving only the angle ?.
(e) What happens if the beam is lifted upward and its base is placed back on the ground slightly to the left of its position in the figure above? Explain
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