Question

balanced/unbalanced forces practice problems
problem
net force equations (include direction of forces & label)
balanced or unbalanced? (circle answer)
hint: you will need two equations in some cases.
1
2
3

Explanation:

Step1: Calculate net - force in x - direction for problem 1

Let the right - direction be positive x and upward be positive y. In the x - direction, $F_{netx}=30 - 30=0$ N. In the y - direction, $F_{nety}=25 - 20 = 5$ N.

Step2: Determine balance for problem 1

Since $F_{nety}
eq0$, the forces are unbalanced.

Step3: Calculate net - force in x - direction for problem 2

In the x - direction, $F_{netx}=30 + 14-30 = 14$ N. In the y - direction, $F_{nety}=25 - 25=0$ N.

Step4: Determine balance for problem 2

Since $F_{netx}
eq0$, the forces are unbalanced.

Step5: Calculate net - force for problem 3

Let the right - direction be positive. $F_{net}=700-(75 + 125)=500$ N.

Step6: Determine balance for problem 3

Since $F_{net}
eq0$, the forces are unbalanced.

Answer:

1. Net Force Equations: $F_{netx}=0$ N, $F_{nety}=5$ N; Unbalanced
2. Net Force Equations: $F_{netx}=14$ N, $F_{nety}=0$ N; Unbalanced
3. Net Force Equation: $F_{net}=500$ N; Unbalanced