Question

The drawing shows a top view of a hockey puck as it slides across frictionless ice. Three forces act on the puck, and it is in equilibrium. The force f is applied at the center and has a magnitude of 21 n. The force f1 is applied at the top edge, and f2 is applied half way between the center and the bottom edge. Find the magnitude of f1 and f2.

Answer 1

Answer:

Conditions of equilibrium are

1/ the sum of forces in a plane is zero

2/ the sum of the torques around the axis of the plane is zero.

Therefore,

F =F1+F2 ..............(1)

F1•R = F2•(R/2) .......(2)

From (2) F2=2F1.

Plug it in (1) and obtain

F =F1 + 2•F1 =3•F1.

F1 =21/3 = 7 N

F2 = 2F1 =14 N·

Answer 2

The conditions of equilibrium are

1/ the sum of forces in a plane is zero

2/ the sum of the torques around the axis of the plane is zero.

so,

F =F1+F2 ..............(1)

F1×R = F2×($\frac{R}{2}$) .......(2)

From (2) F2=2F1.

Insert it in equation 1

F =F1 + 2×F1 =3×F1.

F1 =$\frac{21}{3}$ = 7 N

F2 = 2×F1 =14 N

Explanation

1.Equilibrium is defined as a state of balance or a stable situation where opposing forces cancel each other out and where no changes are occurring.

2.An example of equilibrium is in economics when supply and demand are equal. An example of equilibrium is when you are calm and steady.