A nonuniform rod of length L and mass m is hinged to a wall at one end and suspended from the wall by a cable that is attached to the other end of the rod at an angle of beta to the rod (see figure below). The center of mass of the rod is 2/3 of the distancefrom the wall to the cable. Assume the cable has zero mass. There is a contact force at the pivot on the rod. The magnitude and direction of this force is unknown. In this problem you will solve for the tension in the cable and the direction and magnitude of the contact force at the pivot. Express your answers in terms of known quantities. You can take the acceleration due to gravity, g, to be known. For this problem take the pivot on the rod to be the origin/pivot point. What is the tension in the cable? Find the x- and y- components of the force acting on the pivot. Find the direction of the contact force at the rod’s pivot.
A nonuniform rod of length L and mass m is hinged to a wall at one end and suspended from the wall by a cable that is attached to the other end of the rod at an angle of beta to the rod (see figure below). The center of mass of the rod is 2/3 of the distance
from the wall to the cable. Assume the cable has zero mass. There is a contact force at the pivot on the rod. The magnitude and direction of this force is unknown. In this problem you will solve for the tension in the cable and the direction and magnitude of the contact force at the pivot. Express your answers in terms of known quantities. You can take the acceleration due to gravity, g, to be known. For this problem take the pivot on the rod to be the origin/pivot point.
What is the tension in the cable?
Find the x- and y- components of the force acting on the pivot.
Find the direction of the contact force at the rod’s pivot.
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