Problem 5: Suppose a 875-kg car is on the bridge in the figure with its center of mass haltway between the hinges and the cable attachment. (The bridge is supported by the cable and hinges only.) The mass of the bridge is 2500 kg. 40 1.5 m 7.5 m Part (a) Find the tension, in newtons, in the cable. T= sin() cos() tan() 7 HOME cotan() asin() acos() E 4 6 atan() acotan() sinh() 1 cosh() ODegrees O Radians tanh() cotanh() END VOl BACKSPACE CLEAR Submit Hint Feedback I give up! Part (b) Find the magnitude of the force, in newtons, exerted by the hinges on the bridge.
Problem 5: Suppose a 875-kg car is on the bridge in the figure with its center of mass haltway between the hinges and the cable attachment. (The bridge is supported by the cable and hinges only.) The mass of the bridge is 2500 kg. 40 1.5 m 7.5 m Part (a) Find the tension, in newtons, in the cable. T= sin() cos() tan() 7 HOME cotan() asin() acos() E 4 6 atan() acotan() sinh() 1 cosh() ODegrees O Radians tanh() cotanh() END VOl BACKSPACE CLEAR Submit Hint Feedback I give up! Part (b) Find the magnitude of the force, in newtons, exerted by the hinges on the bridge.
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![**Problem 5**: Suppose a 875-kg car is on the bridge in the figure with its center of mass halfway between the hinges and the cable attachment. The bridge is supported by the cable and hinges only. The mass of the bridge is 2500 kg.
**Diagram Description**:
The diagram shows a side view of a bridge supported by a cable and hinges. The bridge is horizontal and the cable is at an angle of 40° to the horizontal. Distances are marked on the bridge: 7.5 m from the hinge to the attachment point of the cable, and 1.5 m from the hinge to the center of mass of the bridge. Force vectors are drawn, indicating the tension (T) in the cable and the gravitational force (F) acting on the bridge.
**Part (a)**: Find the tension, in newtons, in the cable.
\[ T = \]
A calculator interface is provided with trigonometric functions (sin, cos, tan, etc.), numbers, and other mathematical operations to input the answer. Options to calculate in degrees or radians are available.
**Part (b)**: Find the magnitude of the force, in newtons, exerted by the hinges on the bridge.
In this problem, you need to use principles of physics, particularly static equilibrium, to solve for the tension in the cable and the force on the hinges.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b0d0281-5ebf-495d-adf4-e83a0065683f%2F61406b7e-3355-4058-95de-90474a24d683%2Foefvn3q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 5**: Suppose a 875-kg car is on the bridge in the figure with its center of mass halfway between the hinges and the cable attachment. The bridge is supported by the cable and hinges only. The mass of the bridge is 2500 kg.
**Diagram Description**:
The diagram shows a side view of a bridge supported by a cable and hinges. The bridge is horizontal and the cable is at an angle of 40° to the horizontal. Distances are marked on the bridge: 7.5 m from the hinge to the attachment point of the cable, and 1.5 m from the hinge to the center of mass of the bridge. Force vectors are drawn, indicating the tension (T) in the cable and the gravitational force (F) acting on the bridge.
**Part (a)**: Find the tension, in newtons, in the cable.
\[ T = \]
A calculator interface is provided with trigonometric functions (sin, cos, tan, etc.), numbers, and other mathematical operations to input the answer. Options to calculate in degrees or radians are available.
**Part (b)**: Find the magnitude of the force, in newtons, exerted by the hinges on the bridge.
In this problem, you need to use principles of physics, particularly static equilibrium, to solve for the tension in the cable and the force on the hinges.
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