CP A uniform drawbridge must be held at a 37° angle above the horizontal to allow ships to pass underneath. The draw-bridge weighs 45,000 N and is 14.0 m long. A cable is connected 3.5 m from the hinge where the bridge pivots (measured along the bridge) and pulls horizontally on the bridge to hold it in place, (a) What is the tension in the cable? (b) Find the magnitude and direction of the force the hinge exerts on the bridge, (c) If the cable suddenly breaks, what is the magnitude of the angular acceleration of the drawbridge just after the cable breaks? (d) What is the angular speed of the drawbridge as it becomes horizontal?
CP A uniform drawbridge must be held at a 37° angle above the horizontal to allow ships to pass underneath. The draw-bridge weighs 45,000 N and is 14.0 m long. A cable is connected 3.5 m from the hinge where the bridge pivots (measured along the bridge) and pulls horizontally on the bridge to hold it in place, (a) What is the tension in the cable? (b) Find the magnitude and direction of the force the hinge exerts on the bridge, (c) If the cable suddenly breaks, what is the magnitude of the angular acceleration of the drawbridge just after the cable breaks? (d) What is the angular speed of the drawbridge as it becomes horizontal?
CP A uniform drawbridge must be held at a 37° angle above the horizontal to allow ships to pass underneath. The draw-bridge weighs 45,000 N and is 14.0 m long. A cable is connected 3.5 m from the hinge where the bridge pivots (measured along the bridge) and pulls horizontally on the bridge to hold it in place, (a) What is the tension in the cable? (b) Find the magnitude and direction of the force the hinge exerts on the bridge, (c) If the cable suddenly breaks, what is the magnitude of the angular acceleration of the drawbridge just after the cable breaks? (d) What is the angular speed of the drawbridge as it becomes horizontal?
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 .
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 sign is supported by a uniform horizontal boom of length 3.10 m and weight 72.0 N. A cable, inclined at an angle of 16 °with the boom, is attached at a distance of 2.71 m from the hinge at the wall. The weight of the sign is 108.0 N. What is the tension in the cable and what are the horizontal and vertical forces Fx and Fy exerted on the boom by the hinge? Comment on the magnitude of Fy.
T= In N
Fx= in N
Fy= in N
The magnitude of Fy is select (small or large) compared to that of Fx and T.
suppose the length L of the uniform bar is 3.4 m and its weight is 180 N. Also, let the block's weight W = 310 N and the
angle 0 = 41°. The wire can withstand a maximum tension of 440 N. (a) What is the maximum possible distance x before the wire breaks? With the block placed at this maximum x, what are the (b) horizontal and (c) vertical components of the force on the bar from the hinge at A?
Chapter 11 Solutions
University Physics, Volume 2 - Technology Update Custom Edition for Texas A&M - College Station, 2/e
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