I got 5.80kg for this one, I would like to double check if that's right. ### Problem:A block is hanging in equilibrium by two cables as shown below. The tension in the cables are \( T_1 \) and \( T_2 \). \( T_1 = 50 \, \text{N} \). What is the mass of the block?### Diagram Explanation:- **Block and Cables Setup:** - A block is suspended at a point by two cables. - Cable \( T_1 \) makes an angle of \( 50^\circ \) with the horizontal and has a tension of 50 N. - Cable \( T_2 \) makes an angle of \( 30^\circ \) with the horizontal.- **Directions:** - The \( +y \) direction is upwards, and the \( +x \) direction is to the right.### Equations and Calculations:- **Resolution of Forces:** - Vertical components: - \( T_{1y} = 50 \sin(50^\circ) \) - \( T_{2y} = T_2 \sin(30^\circ) \) - Horizontal components: - \( T_{1x} = 50 \cos(50^\circ) \) - \( T_{2x} = T_2 \cos(30^\circ) \)- **Equilibrium Conditions:** - Sum of vertical forces: \( T_{1y} + T_{2y} = mg \) - Sum of horizontal forces: \( T_{1x} = T_{2x} \)- **Given Calculations:** - \( T_1 = 50 \, \text{N} \) - Calculated \( T_2 = 37.11 \, \text{N} \) (not shown in detail)### Objective:Using the given tensions and angles, apply the conditions of equilibrium to find the mass \( m \) of the block by resolving these into their vertical components.

Name: I got 5.80kg for this one, I would like to double check if that's righ
Uploaded: 2024-03-20T06:56:46.000Z
Channel: Bartleby
Description: I got 5.80kg for this one, I would like to double check if that's right. ### Problem:A block is hanging in equilibrium by two cables as shown below. The tension in the cables are \( T_1 \) and \( T_2 \). \( T_1 = 50 \, \text{N} \). What is the mass o