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A block having a mass of m = 15 kg is suspended via two cables as shown in the figure. The angles shown in the figure are as follows: α = 17° and β = 32°

A block having a mass of m = 15 kg is suspended via two cables as shown in the figure. The angles shown in the figure are as follows: α = 17° and β = 32°

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A block having a mass of m = 15 kg is suspended via two cables as shown in the figure. The angles shown in the figure are as follows: α = 17° and β = 32°.

Part (a) Solve for the numeric value of T1, in newtons.

Part (c) Solve for the numeric value of T2, in newtons.

The image depicts a physics diagram involving a block suspended by two strings with tension forces acting on it. - **Tension Forces**: There are two tension forces, \( T_1 \) and \( T_2 \), acting on the block. \( T_1 \) is directed at an angle \(\alpha\) from the vertical, while \( T_2 \) is at an angle \(\beta\) from the horizontal. - **Gravitational Force**: The force of gravity, represented by \( mg \), acts downward on the block due to its mass \( m \) and gravitational acceleration \( g \). - **Angles**: The angle \( \alpha \) is between the vertical line and the direction of \( T_1 \), and angle \( \beta \) is between the horizontal line and the direction of \( T_2 \). This diagram is commonly used to analyze the equilibrium of forces acting on a point mass or object, where the sum of the forces in each direction is zero.
Transcribed Image Text:The image depicts a physics diagram involving a block suspended by two strings with tension forces acting on it. - **Tension Forces**: There are two tension forces, \( T_1 \) and \( T_2 \), acting on the block. \( T_1 \) is directed at an angle \(\alpha\) from the vertical, while \( T_2 \) is at an angle \(\beta\) from the horizontal. - **Gravitational Force**: The force of gravity, represented by \( mg \), acts downward on the block due to its mass \( m \) and gravitational acceleration \( g \). - **Angles**: The angle \( \alpha \) is between the vertical line and the direction of \( T_1 \), and angle \( \beta \) is between the horizontal line and the direction of \( T_2 \). This diagram is commonly used to analyze the equilibrium of forces acting on a point mass or object, where the sum of the forces in each direction is zero.
The image depicts a physics problem involving a mass \( m \) suspended by two cables. The setup includes: - **Mass (\( m \))**: A square-shaped mass hanging from two cables. - **Cable 1 and Cable 2**: The two cables are connected to the ceiling, supporting the mass. - **Angles (\( \alpha \) and \( \beta \))**: - \( \alpha \) is the angle between Cable 1 and the vertical axis. - \( \beta \) is the angle between Cable 2 and the vertical axis. - **Axes**: A coordinate system with the \( y \)-axis pointing upwards and the \( x \)-axis pointing to the right. The image illustrates a typical tension problem where you can analyze the forces acting on the mass, including the tensions in the cables and the gravitational force.
Transcribed Image Text:The image depicts a physics problem involving a mass \( m \) suspended by two cables. The setup includes: - **Mass (\( m \))**: A square-shaped mass hanging from two cables. - **Cable 1 and Cable 2**: The two cables are connected to the ceiling, supporting the mass. - **Angles (\( \alpha \) and \( \beta \))**: - \( \alpha \) is the angle between Cable 1 and the vertical axis. - \( \beta \) is the angle between Cable 2 and the vertical axis. - **Axes**: A coordinate system with the \( y \)-axis pointing upwards and the \( x \)-axis pointing to the right. The image illustrates a typical tension problem where you can analyze the forces acting on the mass, including the tensions in the cables and the gravitational force.
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