The figure shows a model of a crane that may be mounted on a truck. A rigid uniform horizontal bar of mass m1 = 80.0 kg and length L = 5.80 m is supported by two vertical massless strings. String A is attached at a distance d = 1.80 m from the left end of the bar and is connected to the top plate. String B is attached to the left end of the bar and is connected to the floor. An object of mass m2 = 350 kg is supported by the crane at a distance x = 5.60 m from the left end of the bar. Throughout this problem, positive torque is counterclockwise. Use 9.81 m/s2 for the magnitude of the acceleration due to gravity. Draw a free-body diagram of the bar. There should be 4 forces on the bar. Label each force. Find the tension in string A. Find the tension in string B. If the bar and block are too heavy, one of the strings may break. Assuming that the two strings are identical, which one will break first?
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.
The figure shows a model of a crane that may be mounted on a truck. A rigid uniform horizontal bar of mass m1 = 80.0 kg and length L = 5.80 m is supported by two vertical massless strings. String A is attached at a distance d = 1.80 m from the left end of the bar and is connected to the top plate. String B is attached to the left end of the bar and is connected to the floor. An object of mass m2 = 350 kg is supported by the crane at a distance x = 5.60 m from the left end of the bar.
Throughout this problem, positive torque is counterclockwise. Use 9.81 m/s2 for the magnitude of the acceleration due to gravity.
- Draw a free-body diagram of the bar. There should be 4 forces on the bar. Label each force.
- Find the tension in string A.
- Find the tension in string B.
- If the bar and block are too heavy, one of the strings may break. Assuming that the two strings are identical, which one will break first?
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