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.
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.
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.
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.
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
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