A uniform drawbridge must be held at a 36.5 angle above the horizontal to allow ships to pass underneath. The drawbridge weighs 45000 N, is 14.0 m long, and pivots about a hinge at its lower end. A cable is connected 4.00 m from the hinge, as measured along the bridge, and pulls horizontally on the bridge to hold it in place. A) What is the tension in the cable? Express your answer in newtons. B) Find the magnitude of the force the hinge exerts on the bridge. Express your answer in newtons. C) Find the direction of the force the hinge exerts on the bridge. Express your answer in degrees. D) If the cable suddenly breaks, what is the initial angular acceleration of the bridge? Express your answer in radians per second squared.
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 drawbridge must be held at a 36.5 angle above the horizontal to allow ships to pass underneath. The drawbridge weighs 45000 N, is 14.0 m long, and pivots about a hinge at its lower end. A cable is connected 4.00 m from the hinge, as measured along the bridge, and pulls horizontally on the bridge to hold it in place.
A)
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