The horizontal wire shown on the right in the figure below will break when the tension in it exceeds the value Tmax.     What is the maximum mass M that the hanging object can have without the horizontal wire breaking? (Assume the wire on the left does not break prior to the horizontal wire breaking.)  a Tmax/g sinθ  b Tmax/g  c Tmax/g tanθ  d Tmax tanθ/g  e Tmax/g cosθ

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The horizontal wire shown on the right in the figure below will break when the tension in it exceeds the value Tmax.

 

 
What is the maximum mass M that the hanging object can have without the horizontal wire breaking? (Assume the wire on the left does not break prior to the horizontal wire breaking.)

 a
Tmax/sinθ
 b
Tmax/g
 c
Tmax/tanθ
 d
Tmax tanθ/g
 e
Tmax/cosθ
The image shows a simple mechanical system involving a suspended mass, represented as a block labeled \( M \). The system illustrates a scenario commonly examined in physics related to the tension in a rope and the forces involved in equilibrium situations.

Here’s a breakdown of the diagram:

1. **Block \( M \)**: The mass block is hanging vertically, suspended by a rope or cable.

2. **Tension (\( T \))**: The rope experiences tension, indicated by the label \( T \). This tension force acts horizontally in the rightward direction, connecting to a vertical surface or wall.

3. **Angle (\( \theta \))**: A slanted line at an angle \( \theta \) from the horizontal plane holds the mass. The angle \( \theta \) is formed between the horizontal plane and the line that connects to the ceiling or a fixed point.

4. **Components**: The slanted line represents the component of tension supporting the mass vertically and horizontally. The vertical component is responsible for balancing the weight of the mass, while the horizontal component is tied to the point on the wall.

This diagram is typically used to study the equilibrium of forces acting on the mass, particularly analyzing how the tension and angle are related to the weight of the mass and other forces.
Transcribed Image Text:The image shows a simple mechanical system involving a suspended mass, represented as a block labeled \( M \). The system illustrates a scenario commonly examined in physics related to the tension in a rope and the forces involved in equilibrium situations. Here’s a breakdown of the diagram: 1. **Block \( M \)**: The mass block is hanging vertically, suspended by a rope or cable. 2. **Tension (\( T \))**: The rope experiences tension, indicated by the label \( T \). This tension force acts horizontally in the rightward direction, connecting to a vertical surface or wall. 3. **Angle (\( \theta \))**: A slanted line at an angle \( \theta \) from the horizontal plane holds the mass. The angle \( \theta \) is formed between the horizontal plane and the line that connects to the ceiling or a fixed point. 4. **Components**: The slanted line represents the component of tension supporting the mass vertically and horizontally. The vertical component is responsible for balancing the weight of the mass, while the horizontal component is tied to the point on the wall. This diagram is typically used to study the equilibrium of forces acting on the mass, particularly analyzing how the tension and angle are related to the weight of the mass and other forces.
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