Final answer:
To calculate the mass using three forces of tension, draw a free-body diagram, set up equations using Newton's laws, and solve for the mass. The tension forces cancel out in the x-direction and the net force in the y-direction is equal to the applied force.
Step-by-step explanation:
The mass can be calculated using three forces of tension. First, draw a free-body diagram to visualize the forces acting on the object. Then, use Newton's laws to set up equations. The tension forces cancel out in the x-direction, so the net force in the x-direction is zero. In the y-direction, the net force is equal to the applied force, which is equal to the sum of the y-components of the tension forces. Using trigonometry, the applied force can be calculated. Finally, divide the applied force by the acceleration due to gravity to find the mass.
For example, if the tension forces are given as T1 = 10 N, T2 = 15 N, and T3 = 20 N:
- Draw a free-body diagram.
- Set up the equation ΣFx = 0 and solve for the applied force.
- Set up the equation ΣFy = ma and solve for the mass.