Problem 4: A uniform beam of length L and mass Mhas its lower end pivoted at P on the floor, making an angle with the floor. A horizontal cable is attached at its upper end B to a point A on a wall. A box of mass Mis suspended from a rope that is attached to the beam one-fourth L from its upper end.
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.
Part (a) Write an expression for the y-component Py of the force exerted by the pivot on the beam.
Part (b) Write an expression for the tension T in the horizontal cable AB
Part (c) Write an expression for the x-component Px of the force exerted by the pivot on the beam, in terms of T.
Part (d) What is the tension in the horizontal cable, in newtons, if the mass of the beam is 37 kg, the length of the beam is 11 m, and the angle is 31°?
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